Номер 1.3, страница 136 - гдз по физике 8-11 класс учебник, задачник Гельфгат, Генденштейн

Физика, 8-11 класс Учебник, задачник, авторы: Гельфгат Илья Маркович, Генденштейн Лев Элевич, Кирик Леонид Анатольевич, издательство Илекса, Москва, 2005

Авторы: Гельфгат И. М., Генденштейн Л. Э., Кирик Л. А.

Тип: Учебник, задачник

Издательство: Илекса

Год издания: 2005 - 2026

Цвет обложки: синий мужчина в красном, летит на черном шаре

ISBN: 978-5-89237-332-6

Тесты. Первый уровень - номер 1.3, страница 136.

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" => 1288856
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "136"
    "field_page_end" => null
    "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/test1-3"
    "field_display_title" => "1.3"
    "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"
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          #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"
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              "field_genitive_case" => "номера"
              "field_nominative_case" => "номер"
              "field_prepositional_case" => "номере"
            ]
            "field_short_name" => ""
          ]
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          #guarded: array:1 [
            0 => "*"
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      ]
      #escapeWhenCastingToString: false
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    "field_metatags_title" => null
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    "field_match" => null
    "breadcrumbs" => []
    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1035
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    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1046
      #items: array:1 [
        0 => App\Models\Branch {#1045
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
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          #attributes: array:24 [
            "id" => 1287894
            "created_at" => "2026-04-10 13:58:26"
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            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1047
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            "book" => Illuminate\Database\Eloquent\Collection {#1083
              #items: array:1 [
                0 => App\Models\Book {#1048
                  #connection: "mysql"
                  #table: "books"
                  #primaryKey: "id"
                  #keyType: "int"
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                  #attributes: array:50 [
                    "id" => 5401
                    "created_at" => "2026-04-10 13:58:26"
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                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1050
                      #items: array:1 [
                        0 => App\Models\Term {#1049
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                          #primaryKey: "id"
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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 [ …6]
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                            "field_subject_type" => "technical_subject"
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                          #original: array:10 [
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                            "updated_at" => null
                            "name" => "Физика"
                            "field_abbreviated_name" => null
                            "field_cases" => array:6 [ …6]
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                          #visible: []
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                            0 => "*"
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                      ]
                      #escapeWhenCastingToString: false
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                    "field_class" => Illuminate\Database\Eloquent\Collection {#1051
                      #items: array:4 [
                        0 => App\Models\Term {#1052
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
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                          +exists: true
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                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 5457
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "8"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "vosmoj"
                          ]
                          #original: array:6 [
                            "id" => 5457
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "8"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "vosmoj"
                          ]
                          #changes: []
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                          #dateFormat: null
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                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                        1 => App\Models\Term {#1053
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
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                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 5458
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "9"
                            "field_cases" => array:6 [ …6]
                            "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 [ …6]
                            "field_translit" => "devjatyj"
                          ]
                          #changes: []
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                          #hidden: []
                          #visible: []
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                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                        2 => App\Models\Term {#1054
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
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                          +exists: true
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                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 5459
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "10"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "desjatyj"
                          ]
                          #original: array:6 [
                            "id" => 5459
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "10"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "desjatyj"
                          ]
                          #changes: []
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                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
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                          #hidden: []
                          #visible: []
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                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                        3 => App\Models\Term {#1055
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
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                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 5460
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                            "field_cases" => array:6 [ …6]
                            "field_translit" => "odinadcatyj"
                          ]
                          #original: array:6 [
                            "id" => 5460
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "11"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "odinadcatyj"
                          ]
                          #changes: []
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                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1056
                      #items: array:1 [
                        0 => App\Models\Term {#1057
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
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                            "updated_at" => null
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                          #original: array:6 [
                            "id" => 5158
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                    "field_author" => Illuminate\Database\Eloquent\Collection {#1058
                      #items: array:3 [
                        0 => App\Models\Term {#1059
                          #connection: "mysql"
                          #table: "terms"
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                          #original: array:12 [
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                        1 => App\Models\Term {#1060
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
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                        2 => App\Models\Term {#1061
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                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1062
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                      #items: array:1 [
                        0 => App\Models\Term {#1064
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
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                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Учебник, задачник"
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                            "field_plural_form" => null
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                            "id" => 6673
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                            "name" => "Учебник, задачник"
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                            "field_cases" => array:6 [ …6]
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                            "field_translit" => "uchebnik, zadachnik"
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                          ]
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                      ]
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                    }
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1065
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                        0 => App\Models\Term {#1066
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                          #table: "terms"
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                            "id" => 9
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Россия"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "rossiya"
                          ]
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                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Россия"
                            "field_cases" => array:6 [ …6]
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                          ]
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                          ]
                        }
                      ]
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                    }
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1067
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                        0 => App\Models\Term {#1068
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
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                          #withCount: []
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                            "id" => 15
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Москва"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "moskva"
                          ]
                          #original: array:6 [
                            "id" => 15
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Москва"
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                          ]
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                          ]
                        }
                      ]
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                    }
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1069
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                    }
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1070
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                    }
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1071
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                      #escapeWhenCastingToString: false
                    }
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1072
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                      #escapeWhenCastingToString: false
                    }
                    "field_publication_number" => "6"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1073
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                        0 => App\Models\Term {#1074
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
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                          #withCount: []
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                          #attributes: array:6 [
                            "id" => 35
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "исправленное"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "ispravlennoe"
                          ]
                          #original: array:6 [
                            "id" => 35
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "исправленное"
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                            "field_translit" => "ispravlennoe"
                          ]
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                          #attributeCastCache: []
                          #dateFormat: null
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                      ]
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                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1075
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                    "field_for_whom" => "Учебное издание"
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                    }
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                    }
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                    }
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                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1079
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                        0 => App\Models\Term {#1080
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                          #table: "terms"
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                            "created_at" => "2026-04-10 13:58:26"
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                            "field_translit" => "siniy"
                          ]
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                            "created_at" => "2026-04-10 13:58:26"
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                            "name" => "синий"
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                      ]
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                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1050}
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                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1056}
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                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1062}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1063}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1065}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1067}
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                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1070}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1071}
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                    "field_publication_year" => "2005"
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                    "field_part" => ""
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                    "field_for_whom" => "Учебное издание"
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                    "field_tasks_count" => "1001"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_08/gelfgat-u/"
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                    "field_cover" => array:1 [
                      0 => "/media/fizika_08/gelfgat-u/covers/cover1.webp?ts=1755898771"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
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                        "alt" => ""
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                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1076}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1077}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1078}
                    "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1079}
                    "field_metatags_title" => null
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                    "breadcrumbs" => array:3 [
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                    ]
                  ]
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                  #touches: []
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                  #visible: []
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                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1081
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              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
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            "updated_at" => null
            "field_display_title" => "Тесты"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1047}
            "field_page_start" => "136"
            "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 {#1083}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1081}
          ]
          #changes: []
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          #attributeCastCache: []
          #dateFormat: null
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            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1187
      #items: array:2 [
        0 => App\Models\Branch {#1038
          #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" => 1287894
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Тесты"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1034
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "136"
            "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
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            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1039
              #items: array:1 [
                0 => App\Models\Book {#1042
                  #connection: "mysql"
                  #table: "books"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:50 [
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                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1040
                      #items: array:1 [ …1]
                      #escapeWhenCastingToString: false
                    }
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1041
                      #items: array:4 [ …4]
                      #escapeWhenCastingToString: false
                    }
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1087
                      #items: array:1 [ …1]
                      #escapeWhenCastingToString: false
                    }
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1089
                      #items: array:3 [ …3]
                      #escapeWhenCastingToString: false
                    }
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1093
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1094
                      #items: array:1 [ …1]
                      #escapeWhenCastingToString: false
                    }
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1096
                      #items: array:1 [ …1]
                      #escapeWhenCastingToString: false
                    }
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1098
                      #items: array:1 [ …1]
                      #escapeWhenCastingToString: false
                    }
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1100
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1101
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1102
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1103
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_publication_number" => "6"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1104
                      #items: array:1 [ …1]
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1106
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => "мужчина в красном, летит на черном шаре"
                    "field_publication_year" => "2005"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное издание"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "1001"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_08/gelfgat-u/"
                    "field_isbn" => "978-5-89237-332-6"
                    "field_cover" => array:1 [
                      0 => "/media/fizika_08/gelfgat-u/covers/cover1.webp?ts=1755898771"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [ …4]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1107
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1108
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1109
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1110
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                      #escapeWhenCastingToString: false
                    }
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                  ]
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                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1040}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1041}
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                    "field_author" => Illuminate\Database\Eloquent\Collection {#1089}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1093}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1094}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1096}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1098}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1100}
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                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1102}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1103}
                    "field_publication_number" => "6"
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                    "field_under_the_edition_degree" => null
                    "field_cover_description" => "мужчина в красном, летит на черном шаре"
                    "field_publication_year" => "2005"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное издание"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "1001"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_08/gelfgat-u/"
                    "field_isbn" => "978-5-89237-332-6"
                    "field_cover" => array:1 [
                      0 => "/media/fizika_08/gelfgat-u/covers/cover1.webp?ts=1755898771"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [ …4]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1107}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1108}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1109}
                    "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1110}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [
                      "class" => 379
                      "subject" => 556
                      "class_subject" => 492
                    ]
                  ]
                  #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 {#1112
              #items: []
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1287894
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Тесты"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1034}
            "field_page_start" => "136"
            "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 {#1039}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1112}
          ]
          #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 => "*"
          ]
        }
        1 => App\Models\Branch {#1113
          #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" => 1287895
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Первый уровень"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1114
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "136"
            "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 {#1115
              #items: array:1 [
                0 => App\Models\Book {#1116
                  #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" => 5401
                    "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 {#1117
                      #items: array:1 [ …1]
                      #escapeWhenCastingToString: false
                    }
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1119
                      #items: array:4 [ …4]
                      #escapeWhenCastingToString: false
                    }
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1124
                      #items: array:1 [ …1]
                      #escapeWhenCastingToString: false
                    }
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1126
                      #items: array:3 [ …3]
                      #escapeWhenCastingToString: false
                    }
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1130
                      #items: []
                       …1
                    }
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1131 …2}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1133 …2}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1135 …2}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1137 …2}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1138 …2}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1139 …2}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1140 …2}
                    "field_publication_number" => "6"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1141 …2}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1143 …2}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => "мужчина в красном, летит на черном шаре"
                    "field_publication_year" => "2005"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное издание"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "1001"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_08/gelfgat-u/"
                    "field_isbn" => "978-5-89237-332-6"
                    "field_cover" => array:1 [ …1]
                    "field_cover_alts" => array:1 [ …1]
                    "field_covers" => array:1 [ …1]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1144 …2}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1145 …2}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1146 …2}
                    "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1147 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [ …3]
                  ]
                  #original: array:50 [
                    "id" => 5401
                    "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 {#1117}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1119}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1124}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1126}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1130 …1}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1131 …2}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1133 …2}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1135 …2}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1137 …2}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1138 …2}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1139 …2}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1140 …2}
                    "field_publication_number" => "6"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1141 …2}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1143 …2}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => "мужчина в красном, летит на черном шаре"
                    "field_publication_year" => "2005"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное издание"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "1001"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_08/gelfgat-u/"
                    "field_isbn" => "978-5-89237-332-6"
                    "field_cover" => array:1 [ …1]
                    "field_cover_alts" => array:1 [ …1]
                    "field_covers" => array:1 [ …1]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1144 …2}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1145 …2}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1146 …2}
                    "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1147 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [ …3]
                  ]
                  #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
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1149
              #items: array:1 [
                0 => App\Models\Branch {#1150
                  #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" => 1287894
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Тесты"
                    "field_branch_order" => null
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1151 …2}
                    "field_page_start" => "136"
                    "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 {#1152 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1186 …2}
                  ]
                  #original: array:24 [
                    "id" => 1287894
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Тесты"
                    "field_branch_order" => null
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1151 …2}
                    "field_page_start" => "136"
                    "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 {#1152 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1186 …2}
                  ]
                  #changes: []
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                  #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
            }
          ]
          #original: array:24 [
            "id" => 1287895
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Первый уровень"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1114}
            "field_page_start" => "136"
            "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 {#1115}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1149}
          ]
          #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
    }
    "content" => Illuminate\Database\Eloquent\Collection {#1190
      #items: array:3 [
        0 => App\Models\Element {#1199
          #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" => 1479350
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1208
              #items: array:1 [
                0 => App\Models\Edition {#1200
                  #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" => 5410
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1202 …2}
                    "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 {#1203 …2}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1204 …2}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1205 …2}
                    "field_content_source" => null
                  ]
                  #original: array:21 [
                    "id" => 5410
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1202 …2}
                    "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 {#1203 …2}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1204 …2}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1205 …2}
                    "field_content_source" => null
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "task" => array:2 [
              "refs" => "1288856"
              "type" => "task"
            ]
            "text" => "<p><strong>T 1.3.</strong> Мяч массой $400 \text{ г}$ плавает в воде, погрузившись в нее наполовину. Какая архимедова сила действует на этот же мяч, плавающий в керосине?</p><p><strong>А. </strong>$2 \text{ Н}$.</p><p><strong>Б. </strong>$3,2 \text{ Н}$.</p><p><strong>В. </strong>$4 \text{ Н}$.</p><p><strong>Г. </strong>$1,6 \text{ Н}$.</p><p><strong>Д. </strong>Среди ответов А-Г нет правильного.</p>"
            "img" => array:1 [
              0 => array:5 [
                "name" => "3-1.jpg"
                "alt" => null
                "width" => "1167"
                "height" => 306
                "path" => "/media/fizika_08/gelfgat-u/0-test1/3-1.webp?ts=1756050190"
              ]
            ]
          ]
          #original: array:7 [
            "id" => 1479350
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1208}
            "task" => array:2 [
              "refs" => "1288856"
              "type" => "task"
            ]
            "text" => "<p><strong>T 1.3.</strong> Мяч массой $400 \text{ г}$ плавает в воде, погрузившись в нее наполовину. Какая архимедова сила действует на этот же мяч, плавающий в керосине?</p><p><strong>А. </strong>$2 \text{ Н}$.</p><p><strong>Б. </strong>$3,2 \text{ Н}$.</p><p><strong>В. </strong>$4 \text{ Н}$.</p><p><strong>Г. </strong>$1,6 \text{ Н}$.</p><p><strong>Д. </strong>Среди ответов А-Г нет правильного.</p>"
            "img" => array:1 [
              0 => array:5 [
                "name" => "3-1.jpg"
                "alt" => null
                "width" => "1167"
                "height" => 306
                "path" => "/media/fizika_08/gelfgat-u/0-test1/3-1.webp?ts=1756050190"
              ]
            ]
          ]
          #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\Element {#1206
          #connection: "mysql"
          #table: "elements"
          #primaryKey: "id"
          #keyType: "int"
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            "created_at" => "2026-04-10 13:58:26"
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              #items: array:1 [
                0 => App\Models\Edition {#1207
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                  #table: "editions"
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                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Решение"
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                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1210 …2}
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                    "field_edition_type" => "solution"
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                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1211 …2}
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                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1213 …2}
                    "field_content_source" => null
                  ]
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                    "id" => 5411
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Решение"
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                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1210 …2}
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                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1211 …2}
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                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1212 …2}
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                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1213 …2}
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            "id" => 1479632
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            "edition" => Illuminate\Database\Eloquent\Collection {#1216}
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        }
        2 => App\Models\Element {#1214
          #connection: "mysql"
          #table: "elements"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
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            "id" => 1738549
            "created_at" => "2026-04-10 13:58:26"
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            "edition" => Illuminate\Database\Eloquent\Collection {#1224
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                0 => App\Models\Edition {#1215
                  #connection: "mysql"
                  #table: "editions"
                  #primaryKey: "id"
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                  +incrementing: false
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                    "id" => 6336
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Решение 2"
                    "field_order" => "3"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1218 …2}
                    "field_content_type" => "free"
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                    "field_solution_author" => "Gemini 2.5 Pro"
                    "field_moderator" => "tolik"
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                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1219 …2}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1220 …2}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1221 …2}
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                  ]
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                    "id" => 6336
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1218 …2}
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              ]
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            "text" => "<p><strong>Т 1.3.</strong></p><p><strong>Дано:</strong></p><p>Масса мяча, $m = 400$ г</p><p>Условие плавания в воде: мяч погружен на половину своего объема, $V_{погр.воды} = \frac{1}{2}V_{мяча}$</p><p>Ускорение свободного падения, $g \approx 10 \frac{м}{с^2}$</p><p><em>Перевод в систему СИ:</em></p><p>$m = 400 \text{ г} = 0,4 \text{ кг}$</p><p><strong>Найти:</strong></p><p>Архимедову силу, действующую на мяч в керосине, $F_{А,кер}$</p><p><strong>Решение:</strong></p><p>Когда тело плавает в жидкости, действующая на него сила тяжести уравновешивается выталкивающей силой (силой Архимеда). Это является условием плавания тел. Следовательно, если мяч плавает в керосине, то действующая на него сила Архимеда должна быть равна его силе тяжести.</p><p>Сначала рассчитаем силу тяжести, действующую на мяч. Она постоянна и не зависит от жидкости, в которой он находится:</p><p>$F_т = m \cdot g$</p><p>$F_т = 0,4 \text{ кг} \cdot 10 \frac{м}{с^2} = 4 \text{ Н}$</p><p>Теперь нужно убедиться, что мяч действительно будет плавать в керосине, а не утонет. Для этого сравним плотность мяча с плотностью керосина. Плотность мяча можно найти из условия его плавания в воде.</p><p>Когда мяч плавает в воде, сила тяжести равна силе Архимеда в воде:</p><p>$F_т = F_{А,воды}$</p><p>$m \cdot g = \rho_{воды} \cdot g \cdot V_{погр.воды}$</p><p>Подставим известные значения и выразим плотность мяча $\rho_{мяча} = \frac{m}{V_{мяча}}$:</p><p>$\rho_{мяча} \cdot V_{мяча} \cdot g = \rho_{воды} \cdot g \cdot \frac{V_{мяча}}{2}$</p><p>Сократив $V_{мяча}$ и $\text{g}$, получим:</p><p>$\rho_{мяча} = \frac{\rho_{воды}}{2}$</p><p>Плотность пресной воды $\rho_{воды} \approx 1000 \frac{кг}{м^3}$, следовательно, плотность мяча:</p><p>$\rho_{мяча} = \frac{1000 \frac{кг}{м^3}}{2} = 500 \frac{кг}{м^3}$</p><p>Плотность керосина составляет примерно $\rho_{кер} \approx 800 \frac{кг}{м^3}$.</p><p>Поскольку плотность мяча ($500 \frac{кг}{м^3}$) меньше плотности керосина ($800 \frac{кг}{м^3}$), мяч будет плавать в керосине.</p><p>Так как мяч плавает в керосине, то по условию плавания тел сила Архимеда, действующая на него, равна его силе тяжести:</p><p>$F_{А,кер} = F_т = 4 \text{ Н}$</p><p><strong>Ответ:</strong> В. 4 Н.</p>"
          ]
          #original: array:6 [
            "id" => 1738549
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1224}
            "task" => array:2 [
              "refs" => "1288856"
              "type" => "task"
            ]
            "text" => "<p><strong>Т 1.3.</strong></p><p><strong>Дано:</strong></p><p>Масса мяча, $m = 400$ г</p><p>Условие плавания в воде: мяч погружен на половину своего объема, $V_{погр.воды} = \frac{1}{2}V_{мяча}$</p><p>Ускорение свободного падения, $g \approx 10 \frac{м}{с^2}$</p><p><em>Перевод в систему СИ:</em></p><p>$m = 400 \text{ г} = 0,4 \text{ кг}$</p><p><strong>Найти:</strong></p><p>Архимедову силу, действующую на мяч в керосине, $F_{А,кер}$</p><p><strong>Решение:</strong></p><p>Когда тело плавает в жидкости, действующая на него сила тяжести уравновешивается выталкивающей силой (силой Архимеда). Это является условием плавания тел. Следовательно, если мяч плавает в керосине, то действующая на него сила Архимеда должна быть равна его силе тяжести.</p><p>Сначала рассчитаем силу тяжести, действующую на мяч. Она постоянна и не зависит от жидкости, в которой он находится:</p><p>$F_т = m \cdot g$</p><p>$F_т = 0,4 \text{ кг} \cdot 10 \frac{м}{с^2} = 4 \text{ Н}$</p><p>Теперь нужно убедиться, что мяч действительно будет плавать в керосине, а не утонет. Для этого сравним плотность мяча с плотностью керосина. Плотность мяча можно найти из условия его плавания в воде.</p><p>Когда мяч плавает в воде, сила тяжести равна силе Архимеда в воде:</p><p>$F_т = F_{А,воды}$</p><p>$m \cdot g = \rho_{воды} \cdot g \cdot V_{погр.воды}$</p><p>Подставим известные значения и выразим плотность мяча $\rho_{мяча} = \frac{m}{V_{мяча}}$:</p><p>$\rho_{мяча} \cdot V_{мяча} \cdot g = \rho_{воды} \cdot g \cdot \frac{V_{мяча}}{2}$</p><p>Сократив $V_{мяча}$ и $\text{g}$, получим:</p><p>$\rho_{мяча} = \frac{\rho_{воды}}{2}$</p><p>Плотность пресной воды $\rho_{воды} \approx 1000 \frac{кг}{м^3}$, следовательно, плотность мяча:</p><p>$\rho_{мяча} = \frac{1000 \frac{кг}{м^3}}{2} = 500 \frac{кг}{м^3}$</p><p>Плотность керосина составляет примерно $\rho_{кер} \approx 800 \frac{кг}{м^3}$.</p><p>Поскольку плотность мяча ($500 \frac{кг}{м^3}$) меньше плотности керосина ($800 \frac{кг}{м^3}$), мяч будет плавать в керосине.</p><p>Так как мяч плавает в керосине, то по условию плавания тел сила Архимеда, действующая на него, равна его силе тяжести:</p><p>$F_{А,кер} = F_т = 4 \text{ Н}$</p><p><strong>Ответ:</strong> В. 4 Н.</p>"
          ]
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    "book" => Illuminate\Database\Eloquent\Collection {#1196
      #items: array:1 [
        0 => App\Models\Book {#1048}
      ]
      #escapeWhenCastingToString: false
    }
    "page" => Illuminate\Database\Eloquent\Collection {#1194
      #items: array:1 [
        0 => App\Models\BookPage {#1191
          #connection: "mysql"
          #table: "book_pages"
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          #keyType: "int"
          +incrementing: true
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          #attributes: array:21 [
            "id" => 1340487
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "136"
            "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/page-136"
            "field_display_title" => "136"
            "field_folder" => "1"
            "field_image_name" => "136"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1192
              #items: []
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            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1222
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1223
              #items: []
              #escapeWhenCastingToString: false
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            "content" => Illuminate\Database\Eloquent\Collection {#1234
              #items: array:1 [
                0 => App\Models\Element {#1233
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  #perPage: 15
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                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 1518608
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "edition" => Illuminate\Database\Eloquent\Collection {#1235 …2}
                    "book_page" => array:2 [ …2]
                    "img" => array:1 [ …1]
                  ]
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                    "id" => 1518608
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "edition" => Illuminate\Database\Eloquent\Collection {#1235 …2}
                    "book_page" => array:2 [ …2]
                    "img" => array:1 [ …1]
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                }
              ]
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1288854
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "136"
                    "field_page_end" => null
                    "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/test1-1"
                    "field_display_title" => "1.1"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1422 …2}
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                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1423 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1424 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1425 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1428 …2}
                    "next" => array:2 [ …2]
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                    "book" => Illuminate\Database\Eloquent\Collection {#1434 …2}
                    "page" => array:2 [ …2]
                  ]
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                    "updated_at" => null
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                    "field_page_end" => null
                    "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/test1-1"
                    "field_display_title" => "1.1"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1422 …2}
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1423 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1425 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1428 …2}
                    "next" => array:2 [ …2]
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                    "book" => Illuminate\Database\Eloquent\Collection {#1434 …2}
                    "page" => array:2 [ …2]
                  ]
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                    0 => "*"
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                }
                1 => App\Models\Task {#1427
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№1.3 (с. 136)
Условие. №1.3 (с. 136)
скриншот условия
Физика, 8-11 класс Учебник, задачник, авторы: Гельфгат Илья Маркович, Генденштейн Лев Элевич, Кирик Леонид Анатольевич, издательство Илекса, Москва, 2005, страница 136, номер 1.3, Условие

T 1.3. Мяч массой $400 \text{ г}$ плавает в воде, погрузившись в нее наполовину. Какая архимедова сила действует на этот же мяч, плавающий в керосине?

А. $2 \text{ Н}$.

Б. $3,2 \text{ Н}$.

В. $4 \text{ Н}$.

Г. $1,6 \text{ Н}$.

Д. Среди ответов А-Г нет правильного.

Решение. №1.3 (с. 136)
Физика, 8-11 класс Учебник, задачник, авторы: Гельфгат Илья Маркович, Генденштейн Лев Элевич, Кирик Леонид Анатольевич, издательство Илекса, Москва, 2005, страница 136, номер 1.3, Решение
Решение 2. №1.3 (с. 136)

Т 1.3.

Дано:

Масса мяча, $m = 400$ г

Условие плавания в воде: мяч погружен на половину своего объема, $V_{погр.воды} = \frac{1}{2}V_{мяча}$

Ускорение свободного падения, $g \approx 10 \frac{м}{с^2}$

Перевод в систему СИ:

$m = 400 \text{ г} = 0,4 \text{ кг}$

Найти:

Архимедову силу, действующую на мяч в керосине, $F_{А,кер}$

Решение:

Когда тело плавает в жидкости, действующая на него сила тяжести уравновешивается выталкивающей силой (силой Архимеда). Это является условием плавания тел. Следовательно, если мяч плавает в керосине, то действующая на него сила Архимеда должна быть равна его силе тяжести.

Сначала рассчитаем силу тяжести, действующую на мяч. Она постоянна и не зависит от жидкости, в которой он находится:

$F_т = m \cdot g$

$F_т = 0,4 \text{ кг} \cdot 10 \frac{м}{с^2} = 4 \text{ Н}$

Теперь нужно убедиться, что мяч действительно будет плавать в керосине, а не утонет. Для этого сравним плотность мяча с плотностью керосина. Плотность мяча можно найти из условия его плавания в воде.

Когда мяч плавает в воде, сила тяжести равна силе Архимеда в воде:

$F_т = F_{А,воды}$

$m \cdot g = \rho_{воды} \cdot g \cdot V_{погр.воды}$

Подставим известные значения и выразим плотность мяча $\rho_{мяча} = \frac{m}{V_{мяча}}$:

$\rho_{мяча} \cdot V_{мяча} \cdot g = \rho_{воды} \cdot g \cdot \frac{V_{мяча}}{2}$

Сократив $V_{мяча}$ и $\text{g}$, получим:

$\rho_{мяча} = \frac{\rho_{воды}}{2}$

Плотность пресной воды $\rho_{воды} \approx 1000 \frac{кг}{м^3}$, следовательно, плотность мяча:

$\rho_{мяча} = \frac{1000 \frac{кг}{м^3}}{2} = 500 \frac{кг}{м^3}$

Плотность керосина составляет примерно $\rho_{кер} \approx 800 \frac{кг}{м^3}$.

Поскольку плотность мяча ($500 \frac{кг}{м^3}$) меньше плотности керосина ($800 \frac{кг}{м^3}$), мяч будет плавать в керосине.

Так как мяч плавает в керосине, то по условию плавания тел сила Архимеда, действующая на него, равна его силе тяжести:

$F_{А,кер} = F_т = 4 \text{ Н}$

Ответ: В. 4 Н.

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