Номер 3.34, страница 19 - гдз по физике 9 класс задачник Артеменков, Ломаченков

III. Звук - номер 3.34, страница 19.

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App\Models\Task {#1030 // resources/views/models/task/default.blade.php
  #connection: "mysql"
  #table: "tasks"
  #primaryKey: "id"
  #keyType: "int"
  +incrementing: true
  #with: []
  #withCount: []
  +preventsLazyLoading: false
  #perPage: 15
  +exists: true
  +wasRecentlyCreated: false
  #escapeWhenCastingToString: false
  #attributes: array:24 [
    "id" => 1424183
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "19"
    "field_page_end" => null
    "field_url" => "/9-klass/fizika/artemenkov-zadachnik/3-34"
    "field_display_title" => "3.34"
    "field_outside_task" => null
    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1037
      #items: array:1 [
        0 => App\Models\Term {#1036
          #connection: "mysql"
          #table: "terms"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: false
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:6 [
            "id" => 26
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "name" => "номер"
            "field_cases" => array:6 [
              "field_accusative_case" => "номер"
              "field_creative_case" => "номером"
              "field_dative_case" => "номеру"
              "field_genitive_case" => "номера"
              "field_nominative_case" => "номер"
              "field_prepositional_case" => "номере"
            ]
            "field_short_name" => "№"
          ]
          #original: array:6 [
            "id" => 26
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "name" => "номер"
            "field_cases" => array:6 [
              "field_accusative_case" => "номер"
              "field_creative_case" => "номером"
              "field_dative_case" => "номеру"
              "field_genitive_case" => "номера"
              "field_nominative_case" => "номер"
              "field_prepositional_case" => "номере"
            ]
            "field_short_name" => "№"
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "field_metatags_title" => null
    "field_metatags_description" => null
    "field_h1" => null
    "field_description_top" => null
    "field_description_bottom" => null
    "field_match" => null
    "breadcrumbs" => []
    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1035
      #items: []
      #escapeWhenCastingToString: false
    }
    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1074
      #items: array:1 [
        0 => App\Models\Branch {#1034
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1424066
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "III. Звук"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1039
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "16"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1038
              #items: array:1 [
                0 => App\Models\Book {#1040
                  #connection: "mysql"
                  #table: "books"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:50 [
                    "id" => 2549
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1041
                      #items: array:1 [
                        0 => App\Models\Term {#1042
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:10 [ …10]
                          #original: array:10 [ …10]
                          #changes: []
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                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
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                          #touches: []
                          +timestamps: true
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                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1043
                      #items: array:1 [
                        0 => App\Models\Term {#1044
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
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                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
                          #casts: []
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                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1045
                      #items: array:1 [
                        0 => App\Models\Term {#1046
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1047
                      #items: array:3 [
                        0 => App\Models\Term {#1048
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:12 [ …12]
                          #original: array:12 [ …12]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                        1 => App\Models\Term {#1049
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:12 [ …12]
                          #original: array:12 [ …12]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                        2 => App\Models\Term {#1050
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:12 [ …12]
                          #original: array:12 [ …12]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1051
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1052
                      #items: array:1 [
                        0 => App\Models\Term {#1053
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:10 [ …10]
                          #original: array:10 [ …10]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1054
                      #items: array:1 [
                        0 => App\Models\Term {#1055
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1056
                      #items: array:1 [
                        0 => App\Models\Term {#1057
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
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                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
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                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1058
                      #items: array:1 [
                        0 => App\Models\Term {#1059
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:8 [ …8]
                          #original: array:8 [ …8]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1060
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1061
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1062
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_publication_number" => "2"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1063
                      #items: array:1 [
                        0 => App\Models\Term {#1064
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
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                          #touches: []
                          +timestamps: true
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                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1065
                      #items: array:1 [
                        0 => App\Models\Term {#1050}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2011"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие для общеобразовательных организаций"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "278"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_09/artemenkov-z/"
                    "field_isbn" => "978-5-09-038216-8"
                    "field_cover" => array:1 [
                      0 => "/media/fizika_09/artemenkov-z/covers/cover1.webp?ts=1758483621"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/fizika_09/artemenkov-z/covers/cover1.webp?ts=1758483621"
                        "alt" => ""
                        "width" => "1888"
                        "height" => "2427"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1066
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1067
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1068
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_url" => "/9-klass/fizika/artemenkov-zadachnik"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1069
                      #items: array:1 [
                        0 => App\Models\Term {#1070
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
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                          #with: []
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                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
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                          #visible: []
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                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
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                    "breadcrumbs" => array:3 [
                      "class" => 380
                      "subject" => 556
                      "class_subject" => 493
                    ]
                  ]
                  #original: array:50 [
                    "id" => 2549
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
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                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1041}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1043}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1045}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1047}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1051}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1052}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1054}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1056}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1058}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1060}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1061}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1062}
                    "field_publication_number" => "2"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1063}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1065}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2011"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие для общеобразовательных организаций"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "278"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_09/artemenkov-z/"
                    "field_isbn" => "978-5-09-038216-8"
                    "field_cover" => array:1 [
                      0 => "/media/fizika_09/artemenkov-z/covers/cover1.webp?ts=1758483621"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/fizika_09/artemenkov-z/covers/cover1.webp?ts=1758483621"
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                        "height" => "2427"
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            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1071
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          #original: array:24 [
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            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1039}
            "field_page_start" => "16"
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            "field_display_branch_page" => "1"
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            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1038}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1071}
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        }
      ]
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    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1072
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        0 => App\Models\Branch {#1034}
      ]
      #escapeWhenCastingToString: false
    }
    "content" => Illuminate\Database\Eloquent\Collection {#1090
      #items: array:2 [
        0 => App\Models\Element {#1073
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          #table: "elements"
          #primaryKey: "id"
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          +incrementing: true
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          #perPage: 15
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          #attributes: array:7 [
            "id" => 1673801
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1076
              #items: array:1 [
                0 => App\Models\Edition {#1075
                  #connection: "mysql"
                  #table: "editions"
                  #primaryKey: "id"
                  #keyType: "int"
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                  +exists: true
                  +wasRecentlyCreated: false
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                  #attributes: array:21 [
                    "id" => 5990
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1077
                      #items: array:1 [
                        0 => App\Models\Term {#1078
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
                          #casts: []
                          #classCastCache: []
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                          #dateFormat: null
                          #appends: []
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                          +timestamps: true
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                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
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                    "field_page_content_mode" => "image"
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                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Автор"
                    "field_moderator" => "stas"
                    "field_edition_type" => "statement"
                    "field_root_dir" => "0-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1079
                      #items: []
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                    }
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                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1080
                      #items: []
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                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1081
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                  #original: array:21 [
                    "id" => 5990
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1077}
                    "field_content_type" => "free"
                    "field_content_mode" => "text, image"
                    "field_page_content_mode" => "image"
                    "field_content_text_checked" => null
                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Автор"
                    "field_moderator" => "stas"
                    "field_edition_type" => "statement"
                    "field_root_dir" => "0-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1079}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1080}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1081}
                    "field_content_source" => null
                  ]
                  #changes: []
                  #casts: []
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                  #attributeCastCache: []
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                  #appends: []
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                  +timestamps: true
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                    0 => "*"
                  ]
                }
              ]
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            }
            "task" => array:2 [
              "refs" => "1424183"
              "type" => "task"
            ]
            "text" => "<p><strong>3.34</strong> Наблюдатель услышал звук выстрела пушки спустя 6 с после того, как увидел облачко дыма у ствола орудия. На каком расстоянии от наблюдателя находилась пушка? Скорость звука в воздухе принять равной 330 м/с.</p>"
            "img" => array:1 [
              0 => array:5 [
                "name" => "34-1.jpg"
                "alt" => null
                "width" => "1717"
                "height" => 328
                "path" => "/media/fizika_09/artemenkov-z/0-3/34-1.webp?ts=1758726388"
              ]
            ]
          ]
          #original: array:7 [
            "id" => 1673801
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1076}
            "task" => array:2 [
              "refs" => "1424183"
              "type" => "task"
            ]
            "text" => "<p><strong>3.34</strong> Наблюдатель услышал звук выстрела пушки спустя 6 с после того, как увидел облачко дыма у ствола орудия. На каком расстоянии от наблюдателя находилась пушка? Скорость звука в воздухе принять равной 330 м/с.</p>"
            "img" => array:1 [
              0 => array:5 [
                "name" => "34-1.jpg"
                "alt" => null
                "width" => "1717"
                "height" => 328
                "path" => "/media/fizika_09/artemenkov-z/0-3/34-1.webp?ts=1758726388"
              ]
            ]
          ]
          #changes: []
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          #attributeCastCache: []
          #dateFormat: null
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          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
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          #connection: "mysql"
          #table: "elements"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
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          +exists: true
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          #attributes: array:6 [
            "id" => 1695343
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1083
              #items: array:1 [
                0 => App\Models\Edition {#1084
                  #connection: "mysql"
                  #table: "editions"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
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                  #withCount: []
                  +preventsLazyLoading: false
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                  +exists: true
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                  #attributes: array:21 [
                    "id" => 6166
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Решение"
                    "field_order" => "2"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1085
                      #items: array:1 [
                        0 => App\Models\Term {#1086
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
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                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
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                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Gemini 2.5 Pro"
                    "field_moderator" => "tolik"
                    "field_edition_type" => "solution"
                    "field_root_dir" => "1-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1087
                      #items: []
                      #escapeWhenCastingToString: false
                    }
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                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1088
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1089
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_content_source" => null
                  ]
                  #original: array:21 [
                    "id" => 6166
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Решение"
                    "field_order" => "2"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1085}
                    "field_content_type" => "free"
                    "field_content_mode" => "text"
                    "field_page_content_mode" => ""
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                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Gemini 2.5 Pro"
                    "field_moderator" => "tolik"
                    "field_edition_type" => "solution"
                    "field_root_dir" => "1-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1087}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1088}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1089}
                    "field_content_source" => null
                  ]
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                  #attributeCastCache: []
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                  +timestamps: true
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                    0 => "*"
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "task" => array:2 [
              "refs" => "1424183"
              "type" => "task"
            ]
            "text" => "<p><strong>Дано:</strong></p><p>Время задержки звука, $t = 6 \, с$</p><p>Скорость звука в воздухе, $v = 330 \, м/с$</p><p><strong>Найти:</strong></p><p>Расстояние до пушки, $S$</p><p><strong>Решение:</strong></p><p>Свет распространяется значительно быстрее звука. Скорость света в вакууме составляет примерно $300 \, 000 \, 000$ м/с, что намного превышает скорость звука в воздухе ($330$ м/с). Поэтому можно считать, что наблюдатель видит облачко дыма практически мгновенно после выстрела. Временем, которое требуется свету, чтобы дойти до наблюдателя, можно пренебречь.</p><p>Таким образом, указанная в условии задержка в 6 секунд — это время, которое потребовалось звуку от выстрела, чтобы преодолеть расстояние от пушки до наблюдателя.</p><p>Для нахождения расстояния воспользуемся формулой равномерного движения, связывающей расстояние, скорость и время:</p><p>$S = v \cdot t$</p><p>где $S$ — искомое расстояние, $v$ — скорость звука, а $t$ — время, за которое звук прошел это расстояние.</p><p>Подставим числовые значения из условия задачи в формулу:</p><p>$S = 330 \, \frac{м}{с} \cdot 6 \, с = 1980 \, м$</p><p>Для удобства можно перевести метры в километры:</p><p>$1980 \, м = 1,98 \, км$</p><p><strong>Ответ:</strong> пушка находилась на расстоянии 1980 м (или 1,98 км) от наблюдателя.</p>"
          ]
          #original: array:6 [
            "id" => 1695343
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1083}
            "task" => array:2 [
              "refs" => "1424183"
              "type" => "task"
            ]
            "text" => "<p><strong>Дано:</strong></p><p>Время задержки звука, $t = 6 \, с$</p><p>Скорость звука в воздухе, $v = 330 \, м/с$</p><p><strong>Найти:</strong></p><p>Расстояние до пушки, $S$</p><p><strong>Решение:</strong></p><p>Свет распространяется значительно быстрее звука. Скорость света в вакууме составляет примерно $300 \, 000 \, 000$ м/с, что намного превышает скорость звука в воздухе ($330$ м/с). Поэтому можно считать, что наблюдатель видит облачко дыма практически мгновенно после выстрела. Временем, которое требуется свету, чтобы дойти до наблюдателя, можно пренебречь.</p><p>Таким образом, указанная в условии задержка в 6 секунд — это время, которое потребовалось звуку от выстрела, чтобы преодолеть расстояние от пушки до наблюдателя.</p><p>Для нахождения расстояния воспользуемся формулой равномерного движения, связывающей расстояние, скорость и время:</p><p>$S = v \cdot t$</p><p>где $S$ — искомое расстояние, $v$ — скорость звука, а $t$ — время, за которое звук прошел это расстояние.</p><p>Подставим числовые значения из условия задачи в формулу:</p><p>$S = 330 \, \frac{м}{с} \cdot 6 \, с = 1980 \, м$</p><p>Для удобства можно перевести метры в километры:</p><p>$1980 \, м = 1,98 \, км$</p><p><strong>Ответ:</strong> пушка находилась на расстоянии 1980 м (или 1,98 км) от наблюдателя.</p>"
          ]
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    "book" => Illuminate\Database\Eloquent\Collection {#1124
      #items: array:1 [
        0 => App\Models\Book {#1092
          #connection: "mysql"
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          #primaryKey: "id"
          #keyType: "int"
          +incrementing: false
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            "created_at" => "2026-04-10 13:58:26"
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            "field_tree_default_status" => "tasks"
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            "field_subject" => Illuminate\Database\Eloquent\Collection {#1093
              #items: array:1 [
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                  #connection: "mysql"
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                  +exists: true
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                  #attributes: array:10 [
                    "id" => 6493
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Физика"
                    "field_abbreviated_name" => null
                    "field_cases" => array:6 [
                      "field_accusative_case" => "физику"
                      "field_creative_case" => "физикой"
                      "field_dative_case" => "физике"
                      "field_genitive_case" => "физики"
                      "field_nominative_case" => "физика"
                      "field_prepositional_case" => "физике"
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                    "field_short_name" => null
                    "field_subject_type" => "technical_subject"
                    "field_translit" => "fizika"
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                    "id" => 6493
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Физика"
                    "field_abbreviated_name" => null
                    "field_cases" => array:6 [
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                    "field_translit" => "fizika"
                  ]
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                    0 => "*"
                  ]
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              ]
              #escapeWhenCastingToString: false
            }
            "field_class" => Illuminate\Database\Eloquent\Collection {#1094
              #items: array:1 [
                0 => App\Models\Term {#1095
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 5458
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "9"
                    "field_cases" => array:6 [
                      "field_accusative_case" => "девятый"
                      "field_creative_case" => "девятым"
                      "field_dative_case" => "девятому"
                      "field_genitive_case" => "девятого"
                      "field_nominative_case" => "девятый"
                      "field_prepositional_case" => "девятом"
                    ]
                    "field_translit" => "devjatyj"
                  ]
                  #original: array:6 [
                    "id" => 5458
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "9"
                    "field_cases" => array:6 [
                      "field_accusative_case" => "девятый"
                      "field_creative_case" => "девятым"
                      "field_dative_case" => "девятому"
                      "field_genitive_case" => "девятого"
                      "field_nominative_case" => "девятый"
                      "field_prepositional_case" => "девятом"
                    ]
                    "field_translit" => "devjatyj"
                  ]
                  #changes: []
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_publisher" => Illuminate\Database\Eloquent\Collection {#1096
              #items: array:1 [
                0 => App\Models\Term {#1097
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 5153
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Просвещение"
                    "field_cases" => null
                    "field_translit" => "prosveschenie"
                  ]
                  #original: array:6 [
                    "id" => 5153
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Просвещение"
                    "field_cases" => null
                    "field_translit" => "prosveschenie"
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
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                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_author" => Illuminate\Database\Eloquent\Collection {#1098
              #items: array:3 [
                0 => App\Models\Term {#1099
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:12 [
                    "id" => 3745
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Артеменков"
                    "field_bio" => null
                    "field_degree_rp" => null
                    "field_foreign_lang_name" => null
                    "field_foreign_lang_patronymic" => null
                    "field_foreign_lang_surname" => null
                    "field_name" => "Денис"
                    "field_patronymic" => "Александрович"
                    "field_surname_rp" => null
                  ]
                  #original: array:12 [
                    "id" => 3745
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Артеменков"
                    "field_bio" => null
                    "field_degree_rp" => null
                    "field_foreign_lang_name" => null
                    "field_foreign_lang_patronymic" => null
                    "field_foreign_lang_surname" => null
                    "field_name" => "Денис"
                    "field_patronymic" => "Александрович"
                    "field_surname_rp" => null
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                1 => App\Models\Term {#1100
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:12 [
                    "id" => 5014
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Ломаченков"
                    "field_bio" => null
                    "field_degree_rp" => null
                    "field_foreign_lang_name" => null
                    "field_foreign_lang_patronymic" => null
                    "field_foreign_lang_surname" => null
                    "field_name" => "Иван"
                    "field_patronymic" => "Алексеевич"
                    "field_surname_rp" => null
                  ]
                  #original: array:12 [
                    "id" => 5014
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Ломаченков"
                    "field_bio" => null
                    "field_degree_rp" => null
                    "field_foreign_lang_name" => null
                    "field_foreign_lang_patronymic" => null
                    "field_foreign_lang_surname" => null
                    "field_name" => "Иван"
                    "field_patronymic" => "Алексеевич"
                    "field_surname_rp" => null
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                2 => App\Models\Term {#1101
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:12 [
                    "id" => 5412
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Панебратцев"
                    "field_bio" => null
                    "field_degree_rp" => null
                    "field_foreign_lang_name" => null
                    "field_foreign_lang_patronymic" => null
                    "field_foreign_lang_surname" => null
                    "field_name" => "Юрий"
                    "field_patronymic" => "Анатольевич"
                    "field_surname_rp" => "Панебратцева"
                  ]
                  #original: array:12 [
                    "id" => 5412
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Панебратцев"
                    "field_bio" => null
                    "field_degree_rp" => null
                    "field_foreign_lang_name" => null
                    "field_foreign_lang_patronymic" => null
                    "field_foreign_lang_surname" => null
                    "field_name" => "Юрий"
                    "field_patronymic" => "Анатольевич"
                    "field_surname_rp" => "Панебратцева"
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1102
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_book_type" => Illuminate\Database\Eloquent\Collection {#1103
              #items: array:1 [
                0 => App\Models\Term {#1104
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:10 [
                    "id" => 6518
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Задачник"
                    "field_book_type_foreign" => null
                    "field_cases" => array:6 [
                      "field_accusative_case" => "задачник"
                      "field_creative_case" => "задачником"
                      "field_dative_case" => "задачнику"
                      "field_genitive_case" => "задачника"
                      "field_nominative_case" => "задачник"
                      "field_prepositional_case" => "задачнике"
                    ]
                    "field_plural_form" => null
                    "field_short_name" => null
                    "field_short_name_foreign" => null
                    "field_translit" => "zadachnik"
                  ]
                  #original: array:10 [
                    "id" => 6518
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Задачник"
                    "field_book_type_foreign" => null
                    "field_cases" => array:6 [
                      "field_accusative_case" => "задачник"
                      "field_creative_case" => "задачником"
                      "field_dative_case" => "задачнику"
                      "field_genitive_case" => "задачника"
                      "field_nominative_case" => "задачник"
                      "field_prepositional_case" => "задачнике"
                    ]
                    "field_plural_form" => null
                    "field_short_name" => null
                    "field_short_name_foreign" => null
                    "field_translit" => "zadachnik"
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_country" => Illuminate\Database\Eloquent\Collection {#1105
              #items: array:1 [
                0 => App\Models\Term {#1106
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 9
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Россия"
                    "field_cases" => array:6 [
                      "field_accusative_case" => null
                      "field_creative_case" => null
                      "field_dative_case" => null
                      "field_genitive_case" => null
                      "field_nominative_case" => null
                      "field_prepositional_case" => null
                    ]
                    "field_translit" => "rossiya"
                  ]
                  #original: array:6 [
                    "id" => 9
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Россия"
                    "field_cases" => array:6 [
                      "field_accusative_case" => null
                      "field_creative_case" => null
                      "field_dative_case" => null
                      "field_genitive_case" => null
                      "field_nominative_case" => null
                      "field_prepositional_case" => null
                    ]
                    "field_translit" => "rossiya"
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_city" => Illuminate\Database\Eloquent\Collection {#1107
              #items: array:1 [
                0 => App\Models\Term {#1108
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 15
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Москва"
                    "field_cases" => array:6 [
                      "field_accusative_case" => null
                      "field_creative_case" => null
                      "field_dative_case" => null
                      "field_genitive_case" => null
                      "field_nominative_case" => null
                      "field_prepositional_case" => null
                    ]
                    "field_translit" => "moskva"
                  ]
                  #original: array:6 [
                    "id" => 15
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Москва"
                    "field_cases" => array:6 [
                      "field_accusative_case" => null
                      "field_creative_case" => null
                      "field_dative_case" => null
                      "field_genitive_case" => null
                      "field_nominative_case" => null
                      "field_prepositional_case" => null
                    ]
                    "field_translit" => "moskva"
                  ]
                  #changes: []
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                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_series" => Illuminate\Database\Eloquent\Collection {#1109
              #items: array:1 [
                0 => App\Models\Term {#1110
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:8 [
                    "id" => 4795
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "сферы"
                    "field_cases" => null
                    "field_foreign_lang_series" => null
                    "field_transcription_eng" => null
                    "field_translit" => "sfery"
                  ]
                  #original: array:8 [
                    "id" => 4795
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "сферы"
                    "field_cases" => null
                    "field_foreign_lang_series" => null
                    "field_transcription_eng" => null
                    "field_translit" => "sfery"
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_umk" => Illuminate\Database\Eloquent\Collection {#1111
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1112
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1113
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_publication_number" => "2"
            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1114
              #items: array:1 [
                0 => App\Models\Term {#1115
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 37
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "переработанное и дополненное"
                    "field_cases" => array:6 [
                      "field_accusative_case" => null
                      "field_creative_case" => null
                      "field_dative_case" => null
                      "field_genitive_case" => null
                      "field_nominative_case" => null
                      "field_prepositional_case" => null
                    ]
                    "field_translit" => "pererabotannoe i dopolnennoe"
                  ]
                  #original: array:6 [
                    "id" => 37
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "переработанное и дополненное"
                    "field_cases" => array:6 [
                      "field_accusative_case" => null
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                      "field_dative_case" => null
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                      "field_nominative_case" => null
                      "field_prepositional_case" => null
                    ]
                    "field_translit" => "pererabotannoe i dopolnennoe"
                  ]
                  #changes: []
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                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
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                  #relations: []
                  #touches: []
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1116
              #items: array:1 [
                0 => App\Models\Term {#1101}
              ]
              #escapeWhenCastingToString: false
            }
            "field_under_the_edition_degree" => null
            "field_cover_description" => null
            "field_publication_year" => "2011"
            "field_publication_year_until" => null
            "field_part" => ""
            "field_part_writing" => ""
            "field_second_foreign_language" => null
            "field_for_whom" => "Учебное пособие для общеобразовательных организаций"
            "field_allowed" => null
            "field_reserve_field" => null
            "field_link_to_source" => null
            "field_tasks_count" => "278"
            "field_priority" => null
            "field_default_folder" => "/fizika_09/artemenkov-z/"
            "field_isbn" => "978-5-09-038216-8"
            "field_cover" => array:1 [
              0 => "/media/fizika_09/artemenkov-z/covers/cover1.webp?ts=1758483621"
            ]
            "field_cover_alts" => array:1 [
              0 => ""
            ]
            "field_covers" => array:1 [
              0 => array:4 [
                "path" => "/media/fizika_09/artemenkov-z/covers/cover1.webp?ts=1758483621"
                "alt" => ""
                "width" => "1888"
                "height" => "2427"
              ]
            ]
            "field_popular_book" => "0"
            "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1117
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_new_book" => Illuminate\Database\Eloquent\Collection {#1118
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_old_book" => Illuminate\Database\Eloquent\Collection {#1119
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_url" => "/9-klass/fizika/artemenkov-zadachnik"
            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1120
              #items: array:1 [
                0 => App\Models\Term {#1121
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 49
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "синий"
                    "field_cases" => array:6 [
                      "field_accusative_case" => null
                      "field_creative_case" => null
                      "field_dative_case" => null
                      "field_genitive_case" => null
                      "field_nominative_case" => null
                      "field_prepositional_case" => null
                    ]
                    "field_translit" => "siniy"
                  ]
                  #original: array:6 [
                    "id" => 49
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "синий"
                    "field_cases" => array:6 [
                      "field_accusative_case" => null
                      "field_creative_case" => null
                      "field_dative_case" => null
                      "field_genitive_case" => null
                      "field_nominative_case" => null
                      "field_prepositional_case" => null
                    ]
                    "field_translit" => "siniy"
                  ]
                  #changes: []
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
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                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "breadcrumbs" => array:3 [
              "class" => 380
              "subject" => 556
              "class_subject" => 493
            ]
          ]
          #original: array:50 [
            "id" => 2549
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_tree_default_status" => "tasks"
            "field_pages_status" => null
            "field_subject" => Illuminate\Database\Eloquent\Collection {#1093}
            "field_class" => Illuminate\Database\Eloquent\Collection {#1094}
            "field_publisher" => Illuminate\Database\Eloquent\Collection {#1096}
            "field_author" => Illuminate\Database\Eloquent\Collection {#1098}
            "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1102}
            "field_book_type" => Illuminate\Database\Eloquent\Collection {#1103}
            "field_country" => Illuminate\Database\Eloquent\Collection {#1105}
            "field_city" => Illuminate\Database\Eloquent\Collection {#1107}
            "field_series" => Illuminate\Database\Eloquent\Collection {#1109}
            "field_umk" => Illuminate\Database\Eloquent\Collection {#1111}
            "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1112}
            "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1113}
            "field_publication_number" => "2"
            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1114}
            "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1116}
            "field_under_the_edition_degree" => null
            "field_cover_description" => null
            "field_publication_year" => "2011"
            "field_publication_year_until" => null
            "field_part" => ""
            "field_part_writing" => ""
            "field_second_foreign_language" => null
            "field_for_whom" => "Учебное пособие для общеобразовательных организаций"
            "field_allowed" => null
            "field_reserve_field" => null
            "field_link_to_source" => null
            "field_tasks_count" => "278"
            "field_priority" => null
            "field_default_folder" => "/fizika_09/artemenkov-z/"
            "field_isbn" => "978-5-09-038216-8"
            "field_cover" => array:1 [
              0 => "/media/fizika_09/artemenkov-z/covers/cover1.webp?ts=1758483621"
            ]
            "field_cover_alts" => array:1 [
              0 => ""
            ]
            "field_covers" => array:1 [
              0 => array:4 [
                "path" => "/media/fizika_09/artemenkov-z/covers/cover1.webp?ts=1758483621"
                "alt" => ""
                "width" => "1888"
                "height" => "2427"
              ]
            ]
            "field_popular_book" => "0"
            "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1117}
            "field_new_book" => Illuminate\Database\Eloquent\Collection {#1118}
            "field_old_book" => Illuminate\Database\Eloquent\Collection {#1119}
            "field_url" => "/9-klass/fizika/artemenkov-zadachnik"
            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1120}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "breadcrumbs" => array:3 [
              "class" => 380
              "subject" => 556
              "class_subject" => 493
            ]
          ]
          #changes: []
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          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "page" => Illuminate\Database\Eloquent\Collection {#1129
      #items: array:1 [
        0 => App\Models\BookPage {#1128
          #connection: "mysql"
          #table: "book_pages"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:21 [
            "id" => 1424369
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "19"
            "field_url" => "/9-klass/fizika/artemenkov-zadachnik/page-19"
            "field_display_title" => "19"
            "field_folder" => "1"
            "field_image_name" => "19"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1130
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1131
              #items: array:1 [
                0 => App\Models\Book {#1092}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1132
              #items: []
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1142
              #items: array:1 [
                0 => App\Models\Element {#1141
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 1674179
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "edition" => Illuminate\Database\Eloquent\Collection {#1151
                      #items: array:1 [
                        0 => App\Models\Edition {#1143
                          #connection: "mysql"
                          #table: "editions"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:21 [ …21]
                          #original: array:21 [ …21]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "book_page" => array:2 [
                      "refs" => "1424369"
                      "type" => "book_page"
                    ]
                    "img" => array:1 [
                      0 => array:5 [
                        "name" => "19-1.jpg"
                        "alt" => null
                        "width" => "1994"
                        "height" => 2505
                        "path" => "/media/fizika_09/artemenkov-z/0-1/19-1.webp?ts=1758727968"
                      ]
                    ]
                  ]
                  #original: array:6 [
                    "id" => 1674179
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "edition" => Illuminate\Database\Eloquent\Collection {#1151}
                    "book_page" => array:2 [
                      "refs" => "1424369"
                      "type" => "book_page"
                    ]
                    "img" => array:1 [
                      0 => array:5 [
                        "name" => "19-1.jpg"
                        "alt" => null
                        "width" => "1994"
                        "height" => 2505
                        "path" => "/media/fizika_09/artemenkov-z/0-1/19-1.webp?ts=1758727968"
                      ]
                    ]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1424370"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1424368"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#1234
              #items: array:3 [
                0 => App\Models\Task {#1244
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1424181
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "19"
                    "field_page_end" => null
                    "field_url" => "/9-klass/fizika/artemenkov-zadachnik/3-32"
                    "field_display_title" => "3.32"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1245
                      #items: array:1 [
                        0 => App\Models\Term {#1036}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1246
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1247
                      #items: array:1 [
                        0 => App\Models\Branch {#1034}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1248
                      #items: array:1 [
                        0 => App\Models\Branch {#1034}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#1265
                      #items: array:2 [
                        0 => App\Models\Element {#1249
                          #connection: "mysql"
                          #table: "elements"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: true
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                           …20
                        }
                        1 => App\Models\Element {#1257 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "next" => array:2 [
                      "refs" => "1424182"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1424180"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1267
                      #items: array:1 [
                        0 => App\Models\Book {#1092}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
                      "refs" => "1424369"
                      "type" => "book_page"
                    ]
                  ]
                  #original: array:24 [
                    "id" => 1424181
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "19"
                    "field_page_end" => null
                    "field_url" => "/9-klass/fizika/artemenkov-zadachnik/3-32"
                    "field_display_title" => "3.32"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1245}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1246}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1247}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1248}
                    "content" => Illuminate\Database\Eloquent\Collection {#1265}
                    "next" => array:2 [
                      "refs" => "1424182"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1424180"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1267}
                    "page" => array:2 [
                      "refs" => "1424369"
                      "type" => "book_page"
                    ]
                  ]
                  #changes: []
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                1 => App\Models\Task {#1266
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1424182
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "19"
                    "field_page_end" => null
                    "field_url" => "/9-klass/fizika/artemenkov-zadachnik/3-33"
                    "field_display_title" => "3.33"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1268
                      #items: array:1 [
                        0 => App\Models\Term {#1036}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1269
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1270
                      #items: array:1 [
                        0 => App\Models\Branch {#1034}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1271
                      #items: array:1 [
                        0 => App\Models\Branch {#1034}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#1288
                      #items: array:2 [
                        0 => App\Models\Element {#1272 …30}
                        1 => App\Models\Element {#1280 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "next" => array:2 [
                      "refs" => "1424183"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1424181"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1290
                      #items: array:1 [
                        0 => App\Models\Book {#1092}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
                      "refs" => "1424369"
                      "type" => "book_page"
                    ]
                  ]
                  #original: array:24 [
                    "id" => 1424182
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "19"
                    "field_page_end" => null
                    "field_url" => "/9-klass/fizika/artemenkov-zadachnik/3-33"
                    "field_display_title" => "3.33"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1268}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1269}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1270}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1271}
                    "content" => Illuminate\Database\Eloquent\Collection {#1288}
                    "next" => array:2 [
                      "refs" => "1424183"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1424181"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1290}
                    "page" => array:2 [
                      "refs" => "1424369"
                      "type" => "book_page"
                    ]
                  ]
                  #changes: []
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                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                2 => App\Models\Task {#1289
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1424183
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "19"
                    "field_page_end" => null
                    "field_url" => "/9-klass/fizika/artemenkov-zadachnik/3-34"
                    "field_display_title" => "3.34"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1291
                      #items: array:1 [
                        0 => App\Models\Term {#1036}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
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                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1292
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1293
                      #items: array:1 [
                        0 => App\Models\Branch {#1034}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1294
                      #items: array:1 [
                        0 => App\Models\Branch {#1034}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#1295
                      #items: array:2 [
                        0 => App\Models\Element {#1073}
                        1 => App\Models\Element {#1082}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "next" => array:2 [
                      "refs" => "1424184"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1424182"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1296
                      #items: array:1 [
                        0 => App\Models\Book {#1092}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
                      "refs" => "1424369"
                      "type" => "book_page"
                    ]
                  ]
                  #original: array:24 [
                    "id" => 1424183
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "19"
                    "field_page_end" => null
                    "field_url" => "/9-klass/fizika/artemenkov-zadachnik/3-34"
                    "field_display_title" => "3.34"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1291}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
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                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1292}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1293}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1294}
                    "content" => Illuminate\Database\Eloquent\Collection {#1295}
                    "next" => array:2 [
                      "refs" => "1424184"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1424182"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1296}
                    "page" => array:2 [
                      "refs" => "1424369"
                      "type" => "book_page"
                    ]
                  ]
                  #changes: []
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #touches: []
                  +timestamps: true
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                  #visible: []
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                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
            "id" => 1424369
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "19"
            "field_url" => "/9-klass/fizika/artemenkov-zadachnik/page-19"
            "field_display_title" => "19"
            "field_folder" => "1"
            "field_image_name" => "19"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1130}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1131}
            "field_metatags_title" => null
            "field_metatags_description" => null
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№3.34 (с. 19)

Просмотр Редак-ть Редак-ть (переопр)

Условие. №3.34 (с. 19)

Редак-ть Редакция

скриншот условия

3.34 Наблюдатель услышал звук выстрела пушки спустя 6 с после того, как увидел облачко дыма у ствола орудия. На каком расстоянии от наблюдателя находилась пушка? Скорость звука в воздухе принять равной 330 м/с.

Решение. №3.34 (с. 19)

Редак-ть Редакция

Дано:

Время задержки звука, $t = 6 \, с$

Скорость звука в воздухе, $v = 330 \, м/с$

Найти:

Расстояние до пушки, $S$

Решение:

Свет распространяется значительно быстрее звука. Скорость света в вакууме составляет примерно $300 \, 000 \, 000$ м/с, что намного превышает скорость звука в воздухе ($330$ м/с). Поэтому можно считать, что наблюдатель видит облачко дыма практически мгновенно после выстрела. Временем, которое требуется свету, чтобы дойти до наблюдателя, можно пренебречь.

Таким образом, указанная в условии задержка в 6 секунд — это время, которое потребовалось звуку от выстрела, чтобы преодолеть расстояние от пушки до наблюдателя.

Для нахождения расстояния воспользуемся формулой равномерного движения, связывающей расстояние, скорость и время:

$S = v \cdot t$

где $S$ — искомое расстояние, $v$ — скорость звука, а $t$ — время, за которое звук прошел это расстояние.

Подставим числовые значения из условия задачи в формулу:

$S = 330 \, \frac{м}{с} \cdot 6 \, с = 1980 \, м$

Для удобства можно перевести метры в километры:

$1980 \, м = 1,98 \, км$

Ответ: пушка находилась на расстоянии 1980 м (или 1,98 км) от наблюдателя.