Вариант 2, страница 69 - гдз по физике 9 класс дидактические материалы Марон, Марон

Физика, 9 класс Дидактические материалы, авторы: Марон Абрам Евсеевич, Марон Евгений Абрамович, издательство Просвещение, Москва, 2022, белого цвета

Авторы: Марон А. Е., Марон Е. А.

Тип: Дидактические материалы

Издательство: Просвещение

Год издания: 2022 - 2026

Уровень обучения: базовый

Цвет обложки: белый изображена башня

ISBN: 978-5-09-111414-0

Самостоятельные работы. СР-6. Относительность движения - страница 69.

App\Models\Task {#1024 // 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" => 1428621
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "69"
    "field_page_end" => "70"
    "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp06-2"
    "field_display_title" => "Вариант 2"
    "field_outside_task" => "0"
    "field_task_type" => Illuminate\Database\Eloquent\Collection {#331
      #items: []
      #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 {#1029
      #items: []
      #escapeWhenCastingToString: false
    }
    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1026
      #items: array:1 [
        0 => App\Models\Branch {#342
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
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          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1428174
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Самостоятельные работы"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1023
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "53"
            "field_branch_display" => "0"
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            "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
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            "field_h1" => null
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            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#333
              #items: array:1 [
                0 => App\Models\Book {#1033
                  #connection: "mysql"
                  #table: "books"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
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                  #attributes: array:50 [
                    "id" => 894
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                    "updated_at" => null
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                            "id" => 6493
                            "created_at" => "2026-04-10 13:58:26"
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                            "field_subject_type" => "technical_subject"
                            "field_translit" => "fizika"
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                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                        0 => App\Models\Term {#1035
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                            "created_at" => "2026-04-10 13:58:26"
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                              "field_nominative_case" => "девятый"
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                            "updated_at" => null
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                          #hidden: []
                          #visible: []
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                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1036
                      #items: array:1 [
                        0 => App\Models\Term {#1037
                          #connection: "mysql"
                          #table: "terms"
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                            "created_at" => "2026-04-10 13:58:26"
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                            "field_cases" => null
                            "field_translit" => "prosveschenie"
                          ]
                          #original: array:6 [
                            "id" => 5153
                            "created_at" => "2026-04-10 13:58:26"
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                          ]
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                        0 => App\Models\Term {#1039
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                          #table: "terms"
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                            "id" => 5107
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Марон"
                            "field_bio" => null
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                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
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                            "field_name" => "Абрам"
                            "field_patronymic" => "Евсеевич"
                            "field_surname_rp" => null
                          ]
                          #original: array:12 [
                            "id" => 5107
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Абрам"
                            "field_patronymic" => "Евсеевич"
                            "field_surname_rp" => null
                          ]
                          #changes: []
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                          #attributeCastCache: []
                          #dateFormat: null
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                        1 => App\Models\Term {#1040
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
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                          #withCount: []
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                          #escapeWhenCastingToString: false
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                            "id" => 5108
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                            "field_bio" => null
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                            "field_foreign_lang_patronymic" => null
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                          ]
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                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1041
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                        0 => App\Models\Term {#1043
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                          #table: "terms"
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                            "created_at" => "2026-04-10 13:58:26"
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                    "field_country" => Illuminate\Database\Eloquent\Collection {#1044
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                            "created_at" => "2026-04-10 13:58:26"
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                              "field_accusative_case" => "базовый"
                              "field_creative_case" => "базовым"
                              "field_dative_case" => "базовому"
                              "field_genitive_case" => "базового"
                              "field_nominative_case" => "базовый"
                              "field_prepositional_case" => "базовом"
                            ]
                            "field_translit" => "bazovyy"
                          ]
                          #original: array:6 [
                            "id" => 38
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "базовый"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "базовый"
                              "field_creative_case" => "базовым"
                              "field_dative_case" => "базовому"
                              "field_genitive_case" => "базового"
                              "field_nominative_case" => "базовый"
                              "field_prepositional_case" => "базовом"
                            ]
                            "field_translit" => "bazovyy"
                          ]
                          #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_standart_of_education" => 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 [
                            "id" => 25
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "ФГОС (новый)"
                            "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_color" => "красный"
                            "field_end_year" => "2027"
                            "field_start_year" => "2023"
                            "field_translit" => "fgos"
                            "field_type" => "новый"
                          ]
                          #original: array:10 [
                            "id" => 25
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "ФГОС (новый)"
                            "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_color" => "красный"
                            "field_end_year" => "2027"
                            "field_start_year" => "2023"
                            "field_translit" => "fgos"
                            "field_type" => "новый"
                          ]
                          #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_publication_number" => "3"
                    "field_publication_type" => 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 [
                            "id" => 34
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "переработанное"
                            "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"
                          ]
                          #original: array:6 [
                            "id" => 34
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "переработанное"
                            "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"
                          ]
                          #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_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1056
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => "изображена башня"
                    "field_publication_year" => "2022"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "674"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_09/maron-dm/"
                    "field_isbn" => "978-5-09-111414-0"
                    "field_cover" => array:1 [
                      0 => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880"
                        "alt" => ""
                        "width" => "1888"
                        "height" => "2427"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1057
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1058
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1059
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1060
                      #items: array:1 [
                        0 => App\Models\Term {#1061
                          #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" => 45
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "белый"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "белый"
                              "field_creative_case" => "белым"
                              "field_dative_case" => "белому"
                              "field_genitive_case" => "белого"
                              "field_nominative_case" => "белый"
                              "field_prepositional_case" => "белом"
                            ]
                            "field_translit" => "belyy"
                          ]
                          #original: array:6 [
                            "id" => 45
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "белый"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "белый"
                              "field_creative_case" => "белым"
                              "field_dative_case" => "белому"
                              "field_genitive_case" => "белого"
                              "field_nominative_case" => "белый"
                              "field_prepositional_case" => "белом"
                            ]
                            "field_translit" => "belyy"
                          ]
                          #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
                    "breadcrumbs" => array:3 [
                      "class" => 380
                      "subject" => 556
                      "class_subject" => 493
                    ]
                  ]
                  #original: array:50 [
                    "id" => 894
                    "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 {#1030}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1034}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1036}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1038}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1041}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1042}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1044}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1046}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1048}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1049}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1050}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1052}
                    "field_publication_number" => "3"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1054}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1056}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => "изображена башня"
                    "field_publication_year" => "2022"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "674"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_09/maron-dm/"
                    "field_isbn" => "978-5-09-111414-0"
                    "field_cover" => array:1 [
                      0 => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880"
                        "alt" => ""
                        "width" => "1888"
                        "height" => "2427"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1057}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1058}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1059}
                    "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1060}
                    "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: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1062
              #items: []
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1428174
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Самостоятельные работы"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1023}
            "field_page_start" => "53"
            "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 {#333}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1062}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1063
      #items: array:2 [
        0 => App\Models\Branch {#342}
        1 => App\Models\Branch {#1064
          #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" => 1428180
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "СР-6. Относительность движения"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1065
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "69"
            "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 {#1066
              #items: array:1 [
                0 => App\Models\Book {#1033}
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1067
              #items: array:1 [
                0 => App\Models\Branch {#1068
                  #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" => 1428174
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Самостоятельные работы"
                    "field_branch_order" => null
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1069
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_page_start" => "53"
                    "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 {#1070
                      #items: array:1 [
                        0 => App\Models\Book {#1033}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1071
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                  ]
                  #original: array:24 [
                    "id" => 1428174
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Самостоятельные работы"
                    "field_branch_order" => null
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1069}
                    "field_page_start" => "53"
                    "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 {#1070}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1071}
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1428180
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "СР-6. Относительность движения"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1065}
            "field_page_start" => "69"
            "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 {#1066}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1067}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "content" => Illuminate\Database\Eloquent\Collection {#1072
      #items: array:2 [
        0 => App\Models\Element {#1073
          #connection: "mysql"
          #table: "elements"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:7 [
            "id" => 1682936
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1074
              #items: array:1 [
                0 => App\Models\Edition {#1075
                  #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 [
                    "id" => 5992
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1076
                      #items: array:1 [
                        0 => App\Models\Term {#1037}
                      ]
                      #escapeWhenCastingToString: false
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                    "field_content_type" => "free"
                    "field_content_mode" => "text, image"
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                    "field_moderator" => "stas"
                    "field_edition_type" => "statement"
                    "field_root_dir" => "0-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1077
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                      #escapeWhenCastingToString: false
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                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1078
                      #items: []
                      #escapeWhenCastingToString: false
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                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1079
                      #items: []
                      #escapeWhenCastingToString: false
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                    "id" => 5992
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1076}
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                    "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 {#1077}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1078}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1079}
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                  #visible: []
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                    0 => "*"
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              #escapeWhenCastingToString: false
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            "task" => array:2 [
              "refs" => "1428621"
              "type" => "task"
            ]
            "text" => "<p><strong>Вариант 3</strong></p><p><strong>1.</strong> Сколько времени пассажир, сидящий у окна поезда, который идёт со скоростью 54 км/ч, будет видеть проходящий мимо него встречный поезд, скорость которого 36 км/ч, если длина поезда 250 м?</p><p><strong>2.</strong> Вагон шириной 2,7 м был пробит пулей, летящей перпендикулярно движению вагона. Смещение отверстий в стенках вагона относительно друг друга равно 3 см. Какова скорость пули внутри вагона, если вагон движется со скоростью 36 км/ч?</p>"
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              0 => array:5 [
                "name" => "2-1.jpg"
                "alt" => null
                "width" => "1463"
                "height" => 383
                "path" => "/media/fizika_09/maron-dm/0-cp06/2-1.webp?ts=1758964229"
              ]
              1 => array:5 [
                "name" => "2-2.jpg"
                "alt" => null
                "width" => "1431"
                "height" => 383
                "path" => "/media/fizika_09/maron-dm/0-cp06/2-2.webp?ts=1758964229"
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          ]
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            "id" => 1682936
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1074}
            "task" => array:2 [
              "refs" => "1428621"
              "type" => "task"
            ]
            "text" => "<p><strong>Вариант 3</strong></p><p><strong>1.</strong> Сколько времени пассажир, сидящий у окна поезда, который идёт со скоростью 54 км/ч, будет видеть проходящий мимо него встречный поезд, скорость которого 36 км/ч, если длина поезда 250 м?</p><p><strong>2.</strong> Вагон шириной 2,7 м был пробит пулей, летящей перпендикулярно движению вагона. Смещение отверстий в стенках вагона относительно друг друга равно 3 см. Какова скорость пули внутри вагона, если вагон движется со скоростью 36 км/ч?</p>"
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                "name" => "2-1.jpg"
                "alt" => null
                "width" => "1463"
                "height" => 383
                "path" => "/media/fizika_09/maron-dm/0-cp06/2-1.webp?ts=1758964229"
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                "width" => "1431"
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        }
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          #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" => 1730638
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1081
              #items: array:1 [
                0 => App\Models\Edition {#1082
                  #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 [
                    "id" => 6313
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Решение"
                    "field_order" => "2"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1083
                      #items: array:1 [
                        0 => App\Models\Term {#1084
                          #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: []
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                          #touches: []
                          +timestamps: true
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                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
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                    "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 {#1085
                      #items: []
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                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1086
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1087
                      #items: []
                      #escapeWhenCastingToString: false
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                    "field_content_source" => null
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                  #original: array:21 [
                    "id" => 6313
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Решение"
                    "field_order" => "2"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1083}
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                    "field_root_dir" => "1-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1085}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1086}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1087}
                    "field_content_source" => null
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                  #changes: []
                  #casts: []
                  #classCastCache: []
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                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
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                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
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                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
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                }
              ]
              #escapeWhenCastingToString: false
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            "task" => array:2 [
              "refs" => "1428621"
              "type" => "task"
            ]
            "text" => "<p><strong>1.</strong> <strong>Дано:</strong></p><p>$v_1 = 54 \text{ км/ч}$</p><p>$v_2 = 36 \text{ км/ч}$</p><p>$L = 250 \text{ м}$</p><p>$v_1 = 54 \cdot \frac{1000 \text{ м}}{3600 \text{ с}} = 15 \text{ м/с}$<br>$v_2 = 36 \cdot \frac{1000 \text{ м}}{3600 \text{ с}} = 10 \text{ м/с}$<br>$L = 250 \text{ м}$</p><p><strong>Найти:</strong></p><p>$\text{t}$</p><p><strong>Решение:</strong></p><p>Для пассажира, находящегося в первом поезде, встречный поезд движется с относительной скоростью. Так как поезда движутся навстречу друг другу, их относительная скорость $v_{отн}$ равна сумме их скоростей относительно земли:</p><p>$v_{отн} = v_1 + v_2 = 15 \text{ м/с} + 10 \text{ м/с} = 25 \text{ м/с}$</p><p>Время, в течение которого пассажир будет видеть встречный поезд, равно времени, за которое вся длина встречного поезда $\text{L}$ пройдет мимо пассажира с этой относительной скоростью. Это время можно найти по формуле:</p><p>$t = \frac{L}{v_{отн}}$</p><p>Подставим числовые значения:</p><p>$t = \frac{250 \text{ м}}{25 \text{ м/с}} = 10 \text{ с}$</p><p><strong>Ответ:</strong> 10 с.</p><p><strong>2.</strong> <strong>Дано:</strong></p><p>$W = 2,7 \text{ м}$</p><p>$S = 3 \text{ см}$</p><p>$v_{вагона} = 36 \text{ км/ч}$</p><p>$W = 2,7 \text{ м}$<br>$S = 3 \text{ см} = 0,03 \text{ м}$<br>$v_{вагона} = 36 \cdot \frac{1000 \text{ м}}{3600 \text{ с}} = 10 \text{ м/с}$</p><p><strong>Найти:</strong></p><p>$v_{пули}$</p><p><strong>Решение:</strong></p><p>Движение можно разложить на две составляющие: движение пули поперек вагона и движение вагона вперед.</p><p>Время $\text{t}$, за которое пуля пролетает вагон по ширине $\text{W}$, зависит от скорости пули $v_{пули}$:</p><p>$t = \frac{W}{v_{пули}}$</p><p>За это же время $\text{t}$ вагон смещается вперед на расстояние $\text{S}$ со скоростью $v_{вагона}$. Это смещение и есть смещение отверстий в стенках вагона.</p><p>$S = v_{вагона} \cdot t$</p><p>Так как время в обоих уравнениях одно и то же, мы можем приравнять выражения для $\text{t}$, полученные из этих формул:</p><p>$\frac{W}{v_{пули}} = \frac{S}{v_{вагона}}$</p><p>Из этого соотношения выразим искомую скорость пули $v_{пули}$:</p><p>$v_{пули} = \frac{W \cdot v_{вагона}}{S}$</p><p>Подставим числовые значения в систему СИ:</p><p>$v_{пули} = \frac{2,7 \text{ м} \cdot 10 \text{ м/с}}{0,03 \text{ м}} = \frac{27}{0,03} \text{ м/с} = 900 \text{ м/с}$</p><p><strong>Ответ:</strong> 900 м/с.</p>"
          ]
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            "id" => 1730638
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1081}
            "task" => array:2 [
              "refs" => "1428621"
              "type" => "task"
            ]
            "text" => "<p><strong>1.</strong> <strong>Дано:</strong></p><p>$v_1 = 54 \text{ км/ч}$</p><p>$v_2 = 36 \text{ км/ч}$</p><p>$L = 250 \text{ м}$</p><p>$v_1 = 54 \cdot \frac{1000 \text{ м}}{3600 \text{ с}} = 15 \text{ м/с}$<br>$v_2 = 36 \cdot \frac{1000 \text{ м}}{3600 \text{ с}} = 10 \text{ м/с}$<br>$L = 250 \text{ м}$</p><p><strong>Найти:</strong></p><p>$\text{t}$</p><p><strong>Решение:</strong></p><p>Для пассажира, находящегося в первом поезде, встречный поезд движется с относительной скоростью. Так как поезда движутся навстречу друг другу, их относительная скорость $v_{отн}$ равна сумме их скоростей относительно земли:</p><p>$v_{отн} = v_1 + v_2 = 15 \text{ м/с} + 10 \text{ м/с} = 25 \text{ м/с}$</p><p>Время, в течение которого пассажир будет видеть встречный поезд, равно времени, за которое вся длина встречного поезда $\text{L}$ пройдет мимо пассажира с этой относительной скоростью. Это время можно найти по формуле:</p><p>$t = \frac{L}{v_{отн}}$</p><p>Подставим числовые значения:</p><p>$t = \frac{250 \text{ м}}{25 \text{ м/с}} = 10 \text{ с}$</p><p><strong>Ответ:</strong> 10 с.</p><p><strong>2.</strong> <strong>Дано:</strong></p><p>$W = 2,7 \text{ м}$</p><p>$S = 3 \text{ см}$</p><p>$v_{вагона} = 36 \text{ км/ч}$</p><p>$W = 2,7 \text{ м}$<br>$S = 3 \text{ см} = 0,03 \text{ м}$<br>$v_{вагона} = 36 \cdot \frac{1000 \text{ м}}{3600 \text{ с}} = 10 \text{ м/с}$</p><p><strong>Найти:</strong></p><p>$v_{пули}$</p><p><strong>Решение:</strong></p><p>Движение можно разложить на две составляющие: движение пули поперек вагона и движение вагона вперед.</p><p>Время $\text{t}$, за которое пуля пролетает вагон по ширине $\text{W}$, зависит от скорости пули $v_{пули}$:</p><p>$t = \frac{W}{v_{пули}}$</p><p>За это же время $\text{t}$ вагон смещается вперед на расстояние $\text{S}$ со скоростью $v_{вагона}$. Это смещение и есть смещение отверстий в стенках вагона.</p><p>$S = v_{вагона} \cdot t$</p><p>Так как время в обоих уравнениях одно и то же, мы можем приравнять выражения для $\text{t}$, полученные из этих формул:</p><p>$\frac{W}{v_{пули}} = \frac{S}{v_{вагона}}$</p><p>Из этого соотношения выразим искомую скорость пули $v_{пули}$:</p><p>$v_{пули} = \frac{W \cdot v_{вагона}}{S}$</p><p>Подставим числовые значения в систему СИ:</p><p>$v_{пули} = \frac{2,7 \text{ м} \cdot 10 \text{ м/с}}{0,03 \text{ м}} = \frac{27}{0,03} \text{ м/с} = 900 \text{ м/с}$</p><p><strong>Ответ:</strong> 900 м/с.</p>"
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    "book" => Illuminate\Database\Eloquent\Collection {#1088
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      #escapeWhenCastingToString: false
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    "page" => Illuminate\Database\Eloquent\Collection {#1112
      #items: array:1 [
        0 => App\Models\BookPage {#1111
          #connection: "mysql"
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          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
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                  #connection: "mysql"
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                  +exists: true
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                  #attributes: array:50 [
                    "id" => 894
                    "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 {#1116
                      #items: array:1 [
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                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
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                          #withCount: []
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                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:10 [ …10]
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                          #changes: []
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                          #guarded: array:1 [ …1]
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                    "field_class" => Illuminate\Database\Eloquent\Collection {#1117
                      #items: array:1 [
                        0 => App\Models\Term {#1118
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
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                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
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                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1119
                      #items: array:1 [
                        0 => App\Models\Term {#1120
                          #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]
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                          #dateFormat: null
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                          #relations: []
                          #touches: []
                          +timestamps: true
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                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1121
                      #items: array:2 [
                        0 => App\Models\Term {#1122
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
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                          #withCount: []
                          +preventsLazyLoading: false
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                          +exists: true
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                          #escapeWhenCastingToString: false
                          #attributes: array:12 [ …12]
                          #original: array:12 [ …12]
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                          #dateFormat: null
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                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                        1 => App\Models\Term {#1123
                          #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: []
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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_author_foreign" => Illuminate\Database\Eloquent\Collection {#1124
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1125
                      #items: array:1 [
                        0 => App\Models\Term {#1126
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
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                          +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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                          #relations: []
                          #touches: []
                          +timestamps: true
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                          #visible: []
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                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1127
                      #items: array:1 [
                        0 => App\Models\Term {#1128
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
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                          #withCount: []
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                          #attributes: array:6 [ …6]
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                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
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                          #relations: []
                          #touches: []
                          +timestamps: true
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                          #hidden: []
                          #visible: []
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                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1129
                      #items: array:1 [
                        0 => App\Models\Term {#1130
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
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                          +exists: true
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                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
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                          #relations: []
                          #touches: []
                          +timestamps: true
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                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1131
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1132
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1133
                      #items: array:1 [
                        0 => App\Models\Term {#1134
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
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                          +exists: true
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                          #attributes: array:6 [ …6]
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                          #touches: []
                          +timestamps: true
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                          #hidden: []
                          #visible: []
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                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1135
                      #items: array:1 [
                        0 => App\Models\Term {#1136
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
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                          #attributes: array:10 [ …10]
                          #original: array:10 [ …10]
                          #changes: []
                          #casts: []
                           …14
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_publication_number" => "3"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1137
                      #items: array:1 [
                        0 => App\Models\Term {#1138 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1139
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => "изображена башня"
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                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "674"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_09/maron-dm/"
                    "field_isbn" => "978-5-09-111414-0"
                    "field_cover" => array:1 [
                      0 => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880"
                        "alt" => ""
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                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1140
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1141
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1142
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1143
                      #items: array:1 [
                        0 => App\Models\Term {#1144 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
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                    "breadcrumbs" => array:3 [
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                    ]
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                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1116}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1117}
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                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1124}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1125}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1127}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1129}
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                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1132}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1133}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1135}
                    "field_publication_number" => "3"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1137}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1139}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => "изображена башня"
                    "field_publication_year" => "2022"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
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                    "field_allowed" => null
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                    "field_default_folder" => "/fizika_09/maron-dm/"
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                    "field_cover" => array:1 [
                      0 => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
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                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1140}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1141}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1142}
                    "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1143}
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                    0 => "*"
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                }
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            "field_metatags_title" => null
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1145
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              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1156
              #items: array:1 [
                0 => App\Models\Element {#1155
                  #connection: "mysql"
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                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 1683627
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "edition" => Illuminate\Database\Eloquent\Collection {#1165
                      #items: array:1 [
                        0 => App\Models\Edition {#1157 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "book_page" => array:2 [
                      "refs" => "1428960"
                      "type" => "book_page"
                    ]
                    "img" => array:1 [
                      0 => array:5 [
                        "name" => "69-1.jpg"
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                        "width" => "1577"
                        "height" => 2519
                        "path" => "/media/fizika_09/maron-dm/0-1/69-1.webp?ts=1758964756"
                      ]
                    ]
                  ]
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                    "edition" => Illuminate\Database\Eloquent\Collection {#1165}
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                      "refs" => "1428960"
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                    ]
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                        "width" => "1577"
                        "height" => 2519
                        "path" => "/media/fizika_09/maron-dm/0-1/69-1.webp?ts=1758964756"
                      ]
                    ]
                  ]
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                    0 => "*"
                  ]
                }
              ]
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            }
            "next" => array:2 [
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            ]
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              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#1288
              #items: array:3 [
                0 => App\Models\Task {#1298
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  #attributes: array:24 [
                    "id" => 1428619
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                    "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp05-10"
                    "field_display_title" => "Вариант 10"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1299
                      #items: []
                      #escapeWhenCastingToString: false
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                    "field_metatags_title" => null
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1300
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1338
                      #items: array:1 [
                        0 => App\Models\Branch {#1301 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1411
                      #items: array:2 [
                        0 => App\Models\Branch {#1336 …30}
                        1 => App\Models\Branch {#1372 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#1428
                      #items: array:2 [
                        0 => App\Models\Element {#1413 …30}
                        1 => App\Models\Element {#1420 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "next" => array:2 [
                      "refs" => "1428620"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1428618"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1430
                      #items: array:1 [
                        0 => App\Models\Book {#1114}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
                      "refs" => "1428960"
                      "type" => "book_page"
                    ]
                  ]
                  #original: array:24 [
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                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "69"
                    "field_page_end" => null
                    "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp05-10"
                    "field_display_title" => "Вариант 10"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1299}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
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                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1300}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1338}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1411}
                    "content" => Illuminate\Database\Eloquent\Collection {#1428}
                    "next" => array:2 [
                      "refs" => "1428620"
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                    ]
                    "previous" => array:2 [
                      "refs" => "1428618"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1430}
                    "page" => array:2 [
                      "refs" => "1428960"
                      "type" => "book_page"
                    ]
                  ]
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                  #touches: []
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                1 => App\Models\Task {#1429
                  #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 [
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                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "69"
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                    "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp06-1"
                    "field_display_title" => "Вариант 1"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1431
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
                    "field_metatags_description" => null
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Вариант 2 (с. 69)
Условие. Вариант 2 (с. 69)
скриншот условия
Физика, 9 класс Дидактические материалы, авторы: Марон Абрам Евсеевич, Марон Евгений Абрамович, издательство Просвещение, Москва, 2022, белого цвета, страница 69, Условие
Физика, 9 класс Дидактические материалы, авторы: Марон Абрам Евсеевич, Марон Евгений Абрамович, издательство Просвещение, Москва, 2022, белого цвета, страница 69, Условие (продолжение 2)

Вариант 3

1. Сколько времени пассажир, сидящий у окна поезда, который идёт со скоростью 54 км/ч, будет видеть проходящий мимо него встречный поезд, скорость которого 36 км/ч, если длина поезда 250 м?

2. Вагон шириной 2,7 м был пробит пулей, летящей перпендикулярно движению вагона. Смещение отверстий в стенках вагона относительно друг друга равно 3 см. Какова скорость пули внутри вагона, если вагон движется со скоростью 36 км/ч?

Решение. Вариант 2 (с. 69)

1. Дано:

$v_1 = 54 \text{ км/ч}$

$v_2 = 36 \text{ км/ч}$

$L = 250 \text{ м}$

$v_1 = 54 \cdot \frac{1000 \text{ м}}{3600 \text{ с}} = 15 \text{ м/с}$
$v_2 = 36 \cdot \frac{1000 \text{ м}}{3600 \text{ с}} = 10 \text{ м/с}$
$L = 250 \text{ м}$

Найти:

$\text{t}$

Решение:

Для пассажира, находящегося в первом поезде, встречный поезд движется с относительной скоростью. Так как поезда движутся навстречу друг другу, их относительная скорость $v_{отн}$ равна сумме их скоростей относительно земли:

$v_{отн} = v_1 + v_2 = 15 \text{ м/с} + 10 \text{ м/с} = 25 \text{ м/с}$

Время, в течение которого пассажир будет видеть встречный поезд, равно времени, за которое вся длина встречного поезда $\text{L}$ пройдет мимо пассажира с этой относительной скоростью. Это время можно найти по формуле:

$t = \frac{L}{v_{отн}}$

Подставим числовые значения:

$t = \frac{250 \text{ м}}{25 \text{ м/с}} = 10 \text{ с}$

Ответ: 10 с.

2. Дано:

$W = 2,7 \text{ м}$

$S = 3 \text{ см}$

$v_{вагона} = 36 \text{ км/ч}$

$W = 2,7 \text{ м}$
$S = 3 \text{ см} = 0,03 \text{ м}$
$v_{вагона} = 36 \cdot \frac{1000 \text{ м}}{3600 \text{ с}} = 10 \text{ м/с}$

Найти:

$v_{пули}$

Решение:

Движение можно разложить на две составляющие: движение пули поперек вагона и движение вагона вперед.

Время $\text{t}$, за которое пуля пролетает вагон по ширине $\text{W}$, зависит от скорости пули $v_{пули}$:

$t = \frac{W}{v_{пули}}$

За это же время $\text{t}$ вагон смещается вперед на расстояние $\text{S}$ со скоростью $v_{вагона}$. Это смещение и есть смещение отверстий в стенках вагона.

$S = v_{вагона} \cdot t$

Так как время в обоих уравнениях одно и то же, мы можем приравнять выражения для $\text{t}$, полученные из этих формул:

$\frac{W}{v_{пули}} = \frac{S}{v_{вагона}}$

Из этого соотношения выразим искомую скорость пули $v_{пули}$:

$v_{пули} = \frac{W \cdot v_{вагона}}{S}$

Подставим числовые значения в систему СИ:

$v_{пули} = \frac{2,7 \text{ м} \cdot 10 \text{ м/с}}{0,03 \text{ м}} = \frac{27}{0,03} \text{ м/с} = 900 \text{ м/с}$

Ответ: 900 м/с.

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