Страница 78 - гдз по физике 10-11 класс сборник задач Парфентьева

Физика, 10-11 класс Сборник задач, автор: Парфентьева Наталия Андреевна, издательство Просвещение, Москва, 2007

Авторы: Парфентьева Н. А.

Тип: Сборник задач

Серия: классический курс

Издательство: Просвещение

Год издания: 2007 - 2026

Цвет обложки: фиолетовый

ISBN: 978-5-09-092936-3

Cтраница 78

App\Models\BookPage {#1003 // resources/views/models/book_page/default.blade.php
  #connection: "mysql"
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  #attributes: array:21 [
    "id" => 1341328
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    "updated_at" => null
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    "field_url" => "/10-klass/fizika/parfenteva-sbornik-zadach/page-78"
    "field_display_title" => "78"
    "field_folder" => "1"
    "field_image_name" => "78"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008
      #items: []
      #escapeWhenCastingToString: false
    }
    "field_weight" => "0"
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        0 => App\Models\Book {#1006
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          #table: "books"
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              #items: array:1 [
                0 => App\Models\Term {#1007
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            "field_class" => Illuminate\Database\Eloquent\Collection {#1010
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              ]
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            }
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            "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1032
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          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "next" => Illuminate\Database\Eloquent\Collection {#3925
      #items: array:1 [
        0 => App\Models\BookPage {#3926
          #connection: "mysql"
          #table: "book_pages"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:21 [
            "id" => 1341329
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "79"
            "field_url" => "/10-klass/fizika/parfenteva-sbornik-zadach/page-79"
            "field_display_title" => "79"
            "field_folder" => "1"
            "field_image_name" => "79"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#3938
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#3936
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#3935
              #items: []
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#3997
              #items: array:1 [
                0 => App\Models\Element {#3999
                  #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 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1341330"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1341328"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#4138
              #items: array:8 [
                0 => App\Models\Task {#4152
                  #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 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Task {#4159
                  #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 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Task {#4166
                  #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 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                3 => App\Models\Task {#4178
                  #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 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                4 => App\Models\Task {#4190
                  #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 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                5 => App\Models\Task {#4202
                  #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 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                6 => App\Models\Task {#4214
                  #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 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                7 => App\Models\Task {#4226
                  #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 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
            "id" => 1341329
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "79"
            "field_url" => "/10-klass/fizika/parfenteva-sbornik-zadach/page-79"
            "field_display_title" => "79"
            "field_folder" => "1"
            "field_image_name" => "79"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#3938}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#3936}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#3935}
            "content" => Illuminate\Database\Eloquent\Collection {#3997}
            "next" => array:2 [
              "refs" => "1341330"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1341328"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#4138}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "previous" => Illuminate\Database\Eloquent\Collection {#3922
      #items: array:1 [
        0 => App\Models\BookPage {#3915
          #connection: "mysql"
          #table: "book_pages"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:21 [
            "id" => 1341327
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "77"
            "field_url" => "/10-klass/fizika/parfenteva-sbornik-zadach/page-77"
            "field_display_title" => "77"
            "field_folder" => "1"
            "field_image_name" => "77"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#3920
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#3921
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#3923
              #items: []
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#3933
              #items: array:1 [
                0 => App\Models\Element {#3932
                  #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 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1341328"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1341326"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#3924
              #items: array:5 [
                0 => App\Models\Task {#3941
                  #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 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Task {#3948
                  #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 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Task {#3960
                  #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 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                3 => App\Models\Task {#3972
                  #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 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                4 => App\Models\Task {#3984
                  #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 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
            "id" => 1341327
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "77"
            "field_url" => "/10-klass/fizika/parfenteva-sbornik-zadach/page-77"
            "field_display_title" => "77"
            "field_folder" => "1"
            "field_image_name" => "77"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#3920}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#3921}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#3923}
            "content" => Illuminate\Database\Eloquent\Collection {#3933}
            "next" => array:2 [
              "refs" => "1341328"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1341326"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#3924}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "tasks" => Illuminate\Database\Eloquent\Collection {#1042
      #items: array:6 [
        0 => App\Models\Task {#1064
          #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" => 1320567
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "78"
            "field_page_end" => null
            "field_url" => "/10-klass/fizika/parfenteva-sbornik-zadach/1-564"
            "field_display_title" => "564"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1068
              #items: array:1 [
                0 => App\Models\Term {#1065
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_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 {#1067
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1106
              #items: array:1 [
                0 => App\Models\Branch {#1066
                  #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 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1142
              #items: array:5 [
                0 => App\Models\Branch {#1154
                  #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 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Branch {#1159
                  #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 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Branch {#1163
                  #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 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                3 => App\Models\Branch {#1167
                  #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 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                4 => App\Models\Branch {#1171
                  #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 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1104
              #items: array:2 [
                0 => App\Models\Element {#1134
                  #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 [ …7]
                  #original: array:7 [ …7]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1133
                  #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 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1320568"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1320566"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1137
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1341328"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1320567
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "78"
            "field_page_end" => null
            "field_url" => "/10-klass/fizika/parfenteva-sbornik-zadach/1-564"
            "field_display_title" => "564"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1068}
            "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 {#1067}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1106}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1142}
            "content" => Illuminate\Database\Eloquent\Collection {#1104}
            "next" => array:2 [
              "refs" => "1320568"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1320566"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1137}
            "page" => array:2 [
              "refs" => "1341328"
              "type" => "book_page"
            ]
          ]
          #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\Task {#1140
          #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" => 1320568
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "78"
            "field_page_end" => null
            "field_url" => "/10-klass/fizika/parfenteva-sbornik-zadach/1-565"
            "field_display_title" => "565"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1152
              #items: array:1 [
                0 => App\Models\Term {#1065}
              ]
              #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 {#1135
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1138
              #items: array:1 [
                0 => App\Models\Branch {#1154}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1108
              #items: array:5 [
                0 => App\Models\Branch {#1154}
                1 => App\Models\Branch {#1159}
                2 => App\Models\Branch {#1163}
                3 => App\Models\Branch {#1167}
                4 => App\Models\Branch {#1171}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1109
              #items: array:2 [
                0 => App\Models\Element {#1115
                  #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 [ …7]
                  #original: array:7 [ …7]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1112
                  #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 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1320569"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1320567"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1119
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1341328"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1320568
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "78"
            "field_page_end" => null
            "field_url" => "/10-klass/fizika/parfenteva-sbornik-zadach/1-565"
            "field_display_title" => "565"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1152}
            "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 {#1135}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1138}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1108}
            "content" => Illuminate\Database\Eloquent\Collection {#1109}
            "next" => array:2 [
              "refs" => "1320569"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1320567"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1119}
            "page" => array:2 [
              "refs" => "1341328"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        2 => App\Models\Task {#1124
          #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" => 1320569
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "78"
            "field_page_end" => null
            "field_url" => "/10-klass/fizika/parfenteva-sbornik-zadach/1-566"
            "field_display_title" => "566"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1139
              #items: array:1 [
                0 => App\Models\Term {#1065}
              ]
              #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 {#1118
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1120
              #items: array:1 [
                0 => App\Models\Branch {#1154}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1125
              #items: array:5 [
                0 => App\Models\Branch {#1154}
                1 => App\Models\Branch {#1159}
                2 => App\Models\Branch {#1163}
                3 => App\Models\Branch {#1167}
                4 => App\Models\Branch {#1171}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1123
              #items: array:2 [
                0 => App\Models\Element {#1149
                  #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 [ …7]
                  #original: array:7 [ …7]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1150
                  #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 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1320570"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1320568"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1143
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1341328"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1320569
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "78"
            "field_page_end" => null
            "field_url" => "/10-klass/fizika/parfenteva-sbornik-zadach/1-566"
            "field_display_title" => "566"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1139}
            "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 {#1118}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1120}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1125}
            "content" => Illuminate\Database\Eloquent\Collection {#1123}
            "next" => array:2 [
              "refs" => "1320570"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1320568"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1143}
            "page" => array:2 [
              "refs" => "1341328"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        3 => App\Models\Task {#1113
          #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" => 1320570
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "78"
            "field_page_end" => null
            "field_url" => "/10-klass/fizika/parfenteva-sbornik-zadach/1-567"
            "field_display_title" => "567"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1121
              #items: array:1 [
                0 => App\Models\Term {#1065}
              ]
              #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 {#1151
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1107
              #items: array:1 [
                0 => App\Models\Branch {#1154}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1110
              #items: array:5 [
                0 => App\Models\Branch {#1154}
                1 => App\Models\Branch {#1159}
                2 => App\Models\Branch {#1163}
                3 => App\Models\Branch {#1167}
                4 => App\Models\Branch {#1171}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1111
              #items: array:2 [
                0 => App\Models\Element {#1187
                  #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 [ …7]
                  #original: array:7 [ …7]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1197
                  #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 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1320571"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1320569"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1188
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1341328"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1320570
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "78"
            "field_page_end" => null
            "field_url" => "/10-klass/fizika/parfenteva-sbornik-zadach/1-567"
            "field_display_title" => "567"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1121}
            "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 {#1151}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1107}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1110}
            "content" => Illuminate\Database\Eloquent\Collection {#1111}
            "next" => array:2 [
              "refs" => "1320571"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1320569"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1188}
            "page" => array:2 [
              "refs" => "1341328"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        4 => App\Models\Task {#1144
          #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" => 1320571
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "78"
            "field_page_end" => null
            "field_url" => "/10-klass/fizika/parfenteva-sbornik-zadach/1-568"
            "field_display_title" => "568"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1105
              #items: array:1 [
                0 => App\Models\Term {#1065}
              ]
              #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 {#1189
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1180
              #items: array:1 [
                0 => App\Models\Branch {#1154}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1458
              #items: array:5 [
                0 => App\Models\Branch {#1470
                  #connection: "mysql"
                   …29
                }
                1 => App\Models\Branch {#1474 …30}
                2 => App\Models\Branch {#1478 …30}
                3 => App\Models\Branch {#1482 …30}
                4 => App\Models\Branch {#1486 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1378
              #items: array:2 [
                0 => App\Models\Element {#1425 …30}
                1 => App\Models\Element {#1455 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1320572"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1320570"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1421
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1341328"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1320571
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "78"
            "field_page_end" => null
            "field_url" => "/10-klass/fizika/parfenteva-sbornik-zadach/1-568"
            "field_display_title" => "568"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1105}
            "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 {#1189}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1180}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1458}
            "content" => Illuminate\Database\Eloquent\Collection {#1378}
            "next" => array:2 [
              "refs" => "1320572"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1320570"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1421}
            "page" => array:2 [
              "refs" => "1341328"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        5 => App\Models\Task {#1412
          #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" => 1320572
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "78"
            "field_page_end" => "79"
            "field_url" => "/10-klass/fizika/parfenteva-sbornik-zadach/1-569"
            "field_display_title" => "569"
            "field_outside_task" => "0"
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1468
              #items: array:1 [
                0 => App\Models\Term {#1065}
              ]
              #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 {#1424
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1417
              #items: array:1 [
                0 => App\Models\Branch {#1470 …29}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1413
              #items: array:5 [
                0 => App\Models\Branch {#1470 …29}
                1 => App\Models\Branch {#1474 …30}
                2 => App\Models\Branch {#1478 …30}
                3 => App\Models\Branch {#1482 …30}
                4 => App\Models\Branch {#1486 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1416
              #items: array:2 [
                0 => App\Models\Element {#1444 …30}
                1 => App\Models\Element {#1443 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1320573"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1320571"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1446
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1341328"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1320572
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "78"
            "field_page_end" => "79"
            "field_url" => "/10-klass/fizika/parfenteva-sbornik-zadach/1-569"
            "field_display_title" => "569"
            "field_outside_task" => "0"
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1468}
            "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 {#1424}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1417}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1413}
            "content" => Illuminate\Database\Eloquent\Collection {#1416}
            "next" => array:2 [
              "refs" => "1320573"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1320571"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1446}
            "page" => array:2 [
              "refs" => "1341328"
              "type" => "book_page"
            ]
          ]
          #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:21 [
    "id" => 1341328
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "78"
    "field_url" => "/10-klass/fizika/parfenteva-sbornik-zadach/page-78"
    "field_display_title" => "78"
    "field_folder" => "1"
    "field_image_name" => "78"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008}
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1040}
    "field_metatags_title" => null
    "field_metatags_description" => null
    "field_h1" => null
    "field_description_top" => null
    "field_description_bottom" => null
    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1038}
    "content" => Illuminate\Database\Eloquent\Collection {#1049}
    "next" => array:2 [
      "refs" => "1341329"
      "type" => "book_page"
    ]
    "previous" => array:2 [
      "refs" => "1341327"
      "type" => "book_page"
    ]
    "tasks" => Illuminate\Database\Eloquent\Collection {#1042}
  ]
  #changes: []
  #casts: []
  #classCastCache: []
  #attributeCastCache: []
  #dateFormat: null
  #appends: []
  #dispatchesEvents: []
  #observables: []
  #relations: []
  #touches: []
  +timestamps: true
  +usesUniqueIds: false
  #hidden: []
  #visible: []
  #fillable: []
  #guarded: array:1 [
    0 => "*"
  ]
}
Физика, 10-11 класс Сборник задач, автор: Парфентьева Наталия Андреевна, издательство Просвещение, Москва, 2007, Часть 1, страница 78
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