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Страница 397 - гдз по физике 10 класс учебник Мякишев, Синяков
Авторы: Мякишев Г. Я., Синяков А. З.
Тип: Учебник
Издательство: Просвещение
Год издания: 2021 - 2026
Уровень обучения: углублённый
Цвет обложки: белый колесо обозрения, статор и ротор изображены
ISBN: 978-5-09-087885-2
Популярные ГДЗ в 10 классе
Cтраница 397
App\Models\BookPage {#1003 // resources/views/models/book_page/default.blade.php #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" => 1406717 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "397" "field_url" => "/10-klass/fizika/myakishev-uchebnik-2021/page-397" "field_display_title" => "397" "field_folder" => "1" "field_image_name" => "397" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008 #items: [] #escapeWhenCastingToString: false } "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1039 #items: array:1 [ 0 => App\Models\Book {#1006 #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" => 1918 "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 {#1009 #items: array:1 [ 0 => App\Models\Term {#1007 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ "id" => 6493 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Физика" "field_abbreviated_name" => null "field_cases" => array:6 [ "field_accusative_case" => "физику" "field_creative_case" => "физикой" "field_dative_case" => "физике" "field_genitive_case" => "физики" "field_nominative_case" => "физика" "field_prepositional_case" => "физике" ] "field_foreign_lang_name" => null "field_short_name" => null "field_subject_type" => "technical_subject" "field_translit" => "fizika" ] #original: array:10 [ "id" => 6493 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Физика" "field_abbreviated_name" => null "field_cases" => array:6 [ "field_accusative_case" => "физику" "field_creative_case" => "физикой" "field_dative_case" => "физике" "field_genitive_case" => "физики" "field_nominative_case" => "физика" "field_prepositional_case" => "физике" ] "field_foreign_lang_name" => null "field_short_name" => null "field_subject_type" => "technical_subject" "field_translit" => "fizika" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_class" => Illuminate\Database\Eloquent\Collection {#1010 #items: array:1 [ 0 => App\Models\Term {#1011 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 5459 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "10" "field_cases" => array:6 [ "field_accusative_case" => "десятый" "field_creative_case" => "десятым" "field_dative_case" => "десятому" "field_genitive_case" => "десятого" "field_nominative_case" => "десятый" "field_prepositional_case" => "десятом" ] "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 [ "field_accusative_case" => "десятый" "field_creative_case" => "десятым" "field_dative_case" => "десятому" "field_genitive_case" => "десятого" "field_nominative_case" => "десятый" "field_prepositional_case" => "десятом" ] "field_translit" => "desjatyj" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_publisher" => Illuminate\Database\Eloquent\Collection {#1012 #items: array:1 [ 0 => App\Models\Term {#1013 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 5153 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Просвещение" "field_cases" => null "field_translit" => "prosveschenie" ] #original: array:6 [ "id" => 5153 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Просвещение" "field_cases" => null "field_translit" => "prosveschenie" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_author" => Illuminate\Database\Eloquent\Collection {#1014 #items: array:2 [ 0 => App\Models\Term {#1015 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:12 [ "id" => 5305 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Мякишев" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Генадий" "field_patronymic" => "Яковлевич" "field_surname_rp" => null ] #original: array:12 [ "id" => 5305 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Мякишев" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Генадий" "field_patronymic" => "Яковлевич" "field_surname_rp" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Term {#1016 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:12 [ "id" => 5771 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Синяков" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Арон" "field_patronymic" => "Залманович" "field_surname_rp" => null ] #original: array:12 [ "id" => 5771 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Синяков" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Арон" "field_patronymic" => "Залманович" "field_surname_rp" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1017 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1018 #items: array:1 [ 0 => App\Models\Term {#1019 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ "id" => 6671 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Учебник" "field_book_type_foreign" => null "field_cases" => array:6 [ "field_accusative_case" => "учебник" "field_creative_case" => "учебником" "field_dative_case" => "учебнику" "field_genitive_case" => "учебника" "field_nominative_case" => "учебник" "field_prepositional_case" => "учебнике" ] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "uchebnik" ] #original: array:10 [ "id" => 6671 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Учебник" "field_book_type_foreign" => null "field_cases" => array:6 [ "field_accusative_case" => "учебник" "field_creative_case" => "учебником" "field_dative_case" => "учебнику" "field_genitive_case" => "учебника" "field_nominative_case" => "учебник" "field_prepositional_case" => "учебнике" ] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "uchebnik" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_country" => Illuminate\Database\Eloquent\Collection {#1020 #items: array:1 [ 0 => App\Models\Term {#1021 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 9 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Россия" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "rossiya" ] #original: array:6 [ "id" => 9 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Россия" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "rossiya" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_city" => Illuminate\Database\Eloquent\Collection {#1022 #items: array:1 [ 0 => App\Models\Term {#1023 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 15 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Москва" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "moskva" ] #original: array:6 [ "id" => 15 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Москва" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "moskva" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_series" => Illuminate\Database\Eloquent\Collection {#1024 #items: [] #escapeWhenCastingToString: false } "field_umk" => Illuminate\Database\Eloquent\Collection {#1025 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1026 #items: array:1 [ 0 => App\Models\Term {#1027 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 39 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "углублённый" "field_cases" => array:6 [ "field_accusative_case" => "углубленный" "field_creative_case" => "углубленным" "field_dative_case" => "углубленному" "field_genitive_case" => "углубленного" "field_nominative_case" => "углубленный" "field_prepositional_case" => "углубленном" ] "field_translit" => "uglublennyy" ] #original: array:6 [ "id" => 39 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "углублённый" "field_cases" => array:6 [ "field_accusative_case" => "углубленный" "field_creative_case" => "углубленным" "field_dative_case" => "углубленному" "field_genitive_case" => "углубленного" "field_nominative_case" => "углубленный" "field_prepositional_case" => "углубленном" ] "field_translit" => "uglublennyy" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1028 #items: [] #escapeWhenCastingToString: false } "field_publication_number" => "11" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1029 #items: array:1 [ 0 => App\Models\Term {#1030 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 33 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "стереотипное" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "stereotipnoe" ] #original: array:6 [ "id" => 33 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "стереотипное" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "stereotipnoe" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1031 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition_degree" => null "field_cover_description" => "колесо обозрения, статор и ротор изображены" "field_publication_year" => "2021" "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" => "417" "field_priority" => null "field_default_folder" => "/fizika_10/myakishev-u21/" "field_isbn" => "978-5-09-087885-2" "field_cover" => array:1 [ 0 => "/media/fizika_10/myakishev-u21/covers/cover1.webp?ts=1757448155" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_10/myakishev-u21/covers/cover1.webp?ts=1757448155" "alt" => "" "width" => "1857" "height" => "2469" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1032 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1033 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1034 #items: [] #escapeWhenCastingToString: false } "field_url" => "/10-klass/fizika/myakishev-uchebnik-2021" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1035 #items: array:1 [ 0 => App\Models\Term {#1036 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 45 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "белый" "field_cases" => array:6 [ "field_accusative_case" => "белый" "field_creative_case" => "белым" "field_dative_case" => "белому" "field_genitive_case" => "белого" "field_nominative_case" => "белый" "field_prepositional_case" => "белом" ] "field_translit" => "belyy" ] #original: array:6 [ "id" => 45 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "белый" "field_cases" => array:6 [ "field_accusative_case" => "белый" "field_creative_case" => "белым" "field_dative_case" => "белому" "field_genitive_case" => "белого" "field_nominative_case" => "белый" "field_prepositional_case" => "белом" ] "field_translit" => "belyy" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 381 "subject" => 556 "class_subject" => 494 ] ] #original: array:50 [ "id" => 1918 "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 {#1009} "field_class" => Illuminate\Database\Eloquent\Collection {#1010} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1012} "field_author" => Illuminate\Database\Eloquent\Collection {#1014} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1017} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1018} "field_country" => Illuminate\Database\Eloquent\Collection {#1020} "field_city" => Illuminate\Database\Eloquent\Collection {#1022} "field_series" => Illuminate\Database\Eloquent\Collection {#1024} "field_umk" => Illuminate\Database\Eloquent\Collection {#1025} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1026} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1028} "field_publication_number" => "11" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1029} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1031} "field_under_the_edition_degree" => null "field_cover_description" => "колесо обозрения, статор и ротор изображены" "field_publication_year" => "2021" "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" => "417" "field_priority" => null "field_default_folder" => "/fizika_10/myakishev-u21/" "field_isbn" => "978-5-09-087885-2" "field_cover" => array:1 [ 0 => "/media/fizika_10/myakishev-u21/covers/cover1.webp?ts=1757448155" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_10/myakishev-u21/covers/cover1.webp?ts=1757448155" "alt" => "" "width" => "1857" "height" => "2469" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1032} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1033} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1034} "field_url" => "/10-klass/fizika/myakishev-uchebnik-2021" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1035} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 381 "subject" => 556 "class_subject" => 494 ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "edition_groups" => Illuminate\Database\Eloquent\Collection {#1037 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1048 #items: array:1 [ 0 => App\Models\Element {#1047 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 1657513 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1057 #items: array:1 [ 0 => App\Models\Edition {#1049 #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" => 5737 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1051 #items: array:1 [ 0 => App\Models\Term {#1050 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 5153 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Просвещение" "field_cases" => null "field_translit" => "prosveschenie" ] #original: array:6 [ "id" => 5153 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Просвещение" "field_cases" => null "field_translit" => "prosveschenie" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "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 {#1052 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1053 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1054 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 5737 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1051} "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 {#1052} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1053} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1054} "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 } "book_page" => array:2 [ "refs" => "1406717" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "397-1.jpg" "alt" => null "width" => "1589" "height" => 2479 "path" => "/media/fizika_10/myakishev-u21/0-1/397-1.webp?ts=1758239433" ] ] ] #original: array:6 [ "id" => 1657513 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1057} "book_page" => array:2 [ "refs" => "1406717" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "397-1.jpg" "alt" => null "width" => "1589" "height" => 2479 "path" => "/media/fizika_10/myakishev-u21/0-1/397-1.webp?ts=1758239433" ] ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "next" => Illuminate\Database\Eloquent\Collection {#4715 #items: array:1 [ 0 => App\Models\BookPage {#4710 #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" => 1406718 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "398" "field_url" => "/10-klass/fizika/myakishev-uchebnik-2021/page-398" "field_display_title" => "398" "field_folder" => "1" "field_image_name" => "398" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4713 #items: [] #escapeWhenCastingToString: false } "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#4716 #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 {#4714 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#4730 #items: array:1 [ 0 => App\Models\Element {#4729 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 1657514 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#4731 #items: array:1 [ 0 => App\Models\Edition {#1049} ] #escapeWhenCastingToString: false } "book_page" => array:2 [ "refs" => "1406718" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "398-1.jpg" "alt" => null "width" => "1554" "height" => 2516 "path" => "/media/fizika_10/myakishev-u21/0-1/398-1.webp?ts=1758239433" ] ] ] #original: array:6 [ "id" => 1657514 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#4731} "book_page" => array:2 [ "refs" => "1406718" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "398-1.jpg" "alt" => null "width" => "1554" "height" => 2516 "path" => "/media/fizika_10/myakishev-u21/0-1/398-1.webp?ts=1758239433" ] ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1406719" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1406717" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#4734 #items: array:1 [ 0 => App\Models\Task {#4733 #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" => 1406233 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "398" "field_page_end" => null "field_url" => "/10-klass/fizika/myakishev-uchebnik-2021/7-07vopr-1" "field_display_title" => "1" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4738 #items: array:1 [ 0 => App\Models\Term {#4735 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 26 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "номер" "field_cases" => array:6 [ "field_accusative_case" => "номер" "field_creative_case" => "номером" "field_dative_case" => "номеру" "field_genitive_case" => "номера" "field_nominative_case" => "номер" "field_prepositional_case" => "номере" ] "field_short_name" => "№" ] #original: array:6 [ "id" => 26 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "номер" "field_cases" => array:6 [ "field_accusative_case" => "номер" "field_creative_case" => "номером" "field_dative_case" => "номеру" "field_genitive_case" => "номера" "field_nominative_case" => "номер" "field_prepositional_case" => "номере" ] "field_short_name" => "№" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#4737 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4747 #items: array:1 [ 0 => App\Models\Branch {#4746 #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" => 1405869 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Движение твёрдых и деформируемых тел" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#4748 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "366" "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 {#4749 #items: array:1 [ 0 => App\Models\Book {#1006} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#4750 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1405869 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Движение твёрдых и деформируемых тел" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#4748} "field_page_start" => "366" "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 {#4749} "branch_parent" => Illuminate\Database\Eloquent\Collection {#4750} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#4779 #items: array:3 [ 0 => App\Models\Branch {#4789 #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" => 1405869 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Движение твёрдых и деформируемых тел" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#4790 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "366" "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 {#4791 #items: array:1 [ 0 => App\Models\Book {#1006} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#4792 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1405869 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Движение твёрдых и деформируемых тел" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#4790} "field_page_start" => "366" "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 {#4791} "branch_parent" => Illuminate\Database\Eloquent\Collection {#4792} ] #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\Branch {#4793 #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" => 1405870 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Движение твёрдого тела" "field_branch_order" => "7" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#4797 #items: array:1 [ 0 => App\Models\Term {#4794 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:7 [ "id" => 29 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Глава" "field_cases" => array:6 [ "field_accusative_case" => "Главу" "field_creative_case" => "Главой" "field_dative_case" => "Главе" "field_genitive_case" => "Главы" "field_nominative_case" => "Глава" "field_prepositional_case" => "Главе" ] "field_page_check_not_needed" => null "field_short_name" => null ] #original: array:7 [ "id" => 29 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Глава" "field_cases" => array:6 [ "field_accusative_case" => "Главу" "field_creative_case" => "Главой" "field_dative_case" => "Главе" "field_genitive_case" => "Главы" "field_nominative_case" => "Глава" "field_prepositional_case" => "Главе" ] "field_page_check_not_needed" => null "field_short_name" => 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 } "field_page_start" => "366" "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 {#4796 #items: array:1 [ 0 => App\Models\Book {#1006} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#4795 #items: array:1 [ 0 => App\Models\Branch {#4746} ] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1405870 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Движение твёрдого тела" "field_branch_order" => "7" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#4797} "field_page_start" => "366" "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 {#4796} "branch_parent" => Illuminate\Database\Eloquent\Collection {#4795} ] #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\Branch {#4798 #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" => 1405877 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Основное уравнение динамики вращательного движения твёрдого тела" "field_branch_order" => "7.7" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#4802 #items: array:1 [ 0 => App\Models\Term {#4799 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:7 [ "id" => 32 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Параграф" "field_cases" => array:6 [ "field_accusative_case" => "Параграф" "field_creative_case" => "Параграфом" "field_dative_case" => "Параграфу" "field_genitive_case" => "Параграфа" "field_nominative_case" => "Параграф" "field_prepositional_case" => "Параграфе" ] "field_page_check_not_needed" => null "field_short_name" => "§" ] #original: array:7 [ "id" => 32 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Параграф" "field_cases" => array:6 [ "field_accusative_case" => "Параграф" "field_creative_case" => "Параграфом" "field_dative_case" => "Параграфу" "field_genitive_case" => "Параграфа" "field_nominative_case" => "Параграф" "field_prepositional_case" => "Параграфе" ] "field_page_check_not_needed" => null "field_short_name" => "§" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_page_start" => "393" "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 {#4801 #items: array:1 [ 0 => App\Models\Book {#1006} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#4810 #items: array:1 [ 0 => App\Models\Branch {#4809 #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" => 1405870 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Движение твёрдого тела" "field_branch_order" => "7" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#4811 #items: array:1 [ 0 => App\Models\Term {#4794} ] #escapeWhenCastingToString: false } "field_page_start" => "366" "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 {#4812 #items: array:1 [ 0 => App\Models\Book {#1006} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#4813 #items: array:1 [ 0 => App\Models\Branch {#4746} ] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1405870 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Движение твёрдого тела" "field_branch_order" => "7" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#4811} "field_page_start" => "366" "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 {#4812} "branch_parent" => Illuminate\Database\Eloquent\Collection {#4813} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1405877 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Основное уравнение динамики вращательного движения твёрдого тела" "field_branch_order" => "7.7" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#4802} "field_page_start" => "393" "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 {#4801} "branch_parent" => Illuminate\Database\Eloquent\Collection {#4810} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#4739 #items: array:2 [ 0 => App\Models\Element {#4771 #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" => 1657030 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#4769 #items: array:1 [ 0 => App\Models\Edition {#1049} ] #escapeWhenCastingToString: false } "task" => array:2 [ "refs" => "1406233" "type" => "task" ] "text" => "<p><strong>? </strong>Найдите аналогии в уравнениях вращательного и поступательного движения твёрдого тела (результат представьте в виде таблицы).</p>" "img" => array:1 [ 0 => array:5 [ "name" => "1-1.jpg" "alt" => null "width" => "1483" "height" => 287 "path" => "/media/fizika_10/myakishev-u21/0-7-07vopr/1-1.webp?ts=1758238917" ] ] ] #original: array:7 [ "id" => 1657030 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#4769} "task" => array:2 [ "refs" => "1406233" "type" => "task" ] "text" => "<p><strong>? </strong>Найдите аналогии в уравнениях вращательного и поступательного движения твёрдого тела (результат представьте в виде таблицы).</p>" "img" => array:1 [ 0 => array:5 [ "name" => "1-1.jpg" "alt" => null "width" => "1483" "height" => 287 "path" => "/media/fizika_10/myakishev-u21/0-7-07vopr/1-1.webp?ts=1758238917" ] ] ] #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 {#4770 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 1693990 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#4761 #items: array:1 [ 0 => App\Models\Edition {#4768 #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" => 6147 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#4767 #items: array:1 [ 0 => App\Models\Term {#4766 …30} ] #escapeWhenCastingToString: false } "field_content_type" => "free" "field_content_mode" => "text" "field_page_content_mode" => "" "field_content_text_checked" => null "field_page_content_text_checked" => "0" "field_solution_author" => "Gemini 2.5 Pro" "field_moderator" => "tolik" "field_edition_type" => "solution" "field_root_dir" => "1-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#4765 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#4764 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#4762 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 6147 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#4767} "field_content_type" => "free" "field_content_mode" => "text" "field_page_content_mode" => "" "field_content_text_checked" => null "field_page_content_text_checked" => "0" "field_solution_author" => "Gemini 2.5 Pro" "field_moderator" => "tolik" "field_edition_type" => "solution" "field_root_dir" => "1-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#4765} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#4764} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#4762} "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" => "1406233" "type" => "task" ] "text" => "<p><strong>Решение</strong></p><p>Аналогии между физическими величинами, законами и уравнениями, описывающими поступательное и вращательное движение твёрдого тела, можно представить в виде следующей таблицы.</p><table border="1" style="border-collapse: collapse; width: 100%;"><thead><tr style="background-color: #f2f2f2;"><th style="padding: 8px; border: 1px solid #ddd; text-align: left;">Физическая величина / Закон</th><th style="padding: 8px; border: 1px solid #ddd; text-align: left;">Поступательное движение</th><th style="padding: 8px; border: 1px solid #ddd; text-align: left;">Вращательное движение</th></tr></thead><tbody><tr><td style="padding: 8px; border: 1px solid #ddd;">Координата</td><td style="padding: 8px; border: 1px solid #ddd;">Линейное перемещение $s$</td><td style="padding: 8px; border: 1px solid #ddd;">Угловое перемещение $\varphi$</td></tr><tr><td style="padding: 8px; border: 1px solid #ddd;">Скорость</td><td style="padding: 8px; border: 1px solid #ddd;">Линейная скорость $v = \frac{ds}{dt}$</td><td style="padding: 8px; border: 1px solid #ddd;">Угловая скорость $\omega = \frac{d\varphi}{dt}$</td></tr><tr><td style="padding: 8px; border: 1px solid #ddd;">Ускорение</td><td style="padding: 8px; border: 1px solid #ddd;">Линейное ускорение $a = \frac{dv}{dt}$</td><td style="padding: 8px; border: 1px solid #ddd;">Угловое ускорение $\varepsilon = \frac{d\omega}{dt}$</td></tr><tr><td style="padding: 8px; border: 1px solid #ddd;">Мера инертности</td><td style="padding: 8px; border: 1px solid #ddd;">Масса $m$</td><td style="padding: 8px; border: 1px solid #ddd;">Момент инерции $I$</td></tr><tr><td style="padding: 8px; border: 1px solid #ddd;">Причина ускорения</td><td style="padding: 8px; border: 1px solid #ddd;">Сила $\vec{F}$</td><td style="padding: 8px; border: 1px solid #ddd;">Момент силы (вращающий момент) $\vec{M}$</td></tr><tr><td style="padding: 8px; border: 1px solid #ddd;">Импульс</td><td style="padding: 8px; border: 1px solid #ddd;">Импульс (количество движения) $\vec{p} = m\vec{v}$</td><td style="padding: 8px; border: 1px solid #ddd;">Момент импульса (кинетический момент) $\vec{L} = I\vec{\omega}$</td></tr><tr><td style="padding: 8px; border: 1px solid #ddd;">Основной закон динамики</td><td style="padding: 8px; border: 1px solid #ddd;">Второй закон Ньютона: $\vec{F} = m\vec{a}$ или $\vec{F} = \frac{d\vec{p}}{dt}$</td><td style="padding: 8px; border: 1px solid #ddd;">Основное уравнение динамики вращательного движения: $\vec{M} = I\vec{\varepsilon}$ или $\vec{M} = \frac{d\vec{L}}{dt}$</td></tr><tr><td style="padding: 8px; border: 1px solid #ddd;">Работа</td><td style="padding: 8px; border: 1px solid #ddd;">$A = \int \vec{F} \cdot d\vec{s}$</td><td style="padding: 8px; border: 1px solid #ddd;">$A = \int \vec{M} \cdot d\vec{\varphi}$</td></tr><tr><td style="padding: 8px; border: 1px solid #ddd;">Мощность</td><td style="padding: 8px; border: 1px solid #ddd;">$P = \vec{F} \cdot \vec{v}$</td><td style="padding: 8px; border: 1px solid #ddd;">$P = \vec{M} \cdot \vec{\omega}$</td></tr><tr><td style="padding: 8px; border: 1px solid #ddd;">Кинетическая энергия</td><td style="padding: 8px; border: 1px solid #ddd;">$E_k = \frac{mv^2}{2}$</td><td style="padding: 8px; border: 1px solid #ddd;">$E_k = \frac{I\omega^2}{2}$</td></tr><tr><td style="padding: 8px; border: 1px solid #ddd;">Уравнения кинематики<br>(при постоянном ускорении)</td><td style="padding: 8px; border: 1px solid #ddd;">$s = v_0 t + \frac{at^2}{2}$<br>$v = v_0 + at$<br>$s = \frac{v^2 - v_0^2}{2a}$</td><td style="padding: 8px; border: 1px solid #ddd;">$\varphi = \omega_0 t + \frac{\varepsilon t^2}{2}$<br>$\omega = \omega_0 + \varepsilon t$<br>$\varphi = \frac{\omega^2 - \omega_0^2}{2\varepsilon}$</td></tr></tbody></table><p><strong>Ответ:</strong></p><p>Таблица, представленная выше, содержит подробное сравнение и аналогии между основными понятиями и уравнениями поступательного и вращательного движения твёрдого тела.</p>" ] #original: array:6 [ "id" => 1693990 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#4761} "task" => array:2 [ "refs" => "1406233" "type" => "task" ] "text" => "<p><strong>Решение</strong></p><p>Аналогии между физическими величинами, законами и уравнениями, описывающими поступательное и вращательное движение твёрдого тела, можно представить в виде следующей таблицы.</p><table border="1" style="border-collapse: collapse; width: 100%;"><thead><tr style="background-color: #f2f2f2;"><th style="padding: 8px; border: 1px solid #ddd; text-align: left;">Физическая величина / Закон</th><th style="padding: 8px; border: 1px solid #ddd; text-align: left;">Поступательное движение</th><th style="padding: 8px; border: 1px solid #ddd; text-align: left;">Вращательное движение</th></tr></thead><tbody><tr><td style="padding: 8px; border: 1px solid #ddd;">Координата</td><td style="padding: 8px; border: 1px solid #ddd;">Линейное перемещение $s$</td><td style="padding: 8px; border: 1px solid #ddd;">Угловое перемещение $\varphi$</td></tr><tr><td style="padding: 8px; border: 1px solid #ddd;">Скорость</td><td style="padding: 8px; border: 1px solid #ddd;">Линейная скорость $v = \frac{ds}{dt}$</td><td style="padding: 8px; border: 1px solid #ddd;">Угловая скорость $\omega = \frac{d\varphi}{dt}$</td></tr><tr><td style="padding: 8px; border: 1px solid #ddd;">Ускорение</td><td style="padding: 8px; border: 1px solid #ddd;">Линейное ускорение $a = \frac{dv}{dt}$</td><td style="padding: 8px; border: 1px solid #ddd;">Угловое ускорение $\varepsilon = \frac{d\omega}{dt}$</td></tr><tr><td style="padding: 8px; border: 1px solid #ddd;">Мера инертности</td><td style="padding: 8px; border: 1px solid #ddd;">Масса $m$</td><td style="padding: 8px; border: 1px solid #ddd;">Момент инерции $I$</td></tr><tr><td style="padding: 8px; border: 1px solid #ddd;">Причина ускорения</td><td style="padding: 8px; border: 1px solid #ddd;">Сила $\vec{F}$</td><td style="padding: 8px; border: 1px solid #ddd;">Момент силы (вращающий момент) $\vec{M}$</td></tr><tr><td style="padding: 8px; border: 1px solid #ddd;">Импульс</td><td style="padding: 8px; border: 1px solid #ddd;">Импульс (количество движения) $\vec{p} = m\vec{v}$</td><td style="padding: 8px; border: 1px solid #ddd;">Момент импульса (кинетический момент) $\vec{L} = I\vec{\omega}$</td></tr><tr><td style="padding: 8px; border: 1px solid #ddd;">Основной закон динамики</td><td style="padding: 8px; border: 1px solid #ddd;">Второй закон Ньютона: $\vec{F} = m\vec{a}$ или $\vec{F} = \frac{d\vec{p}}{dt}$</td><td style="padding: 8px; border: 1px solid #ddd;">Основное уравнение динамики вращательного движения: $\vec{M} = I\vec{\varepsilon}$ или $\vec{M} = \frac{d\vec{L}}{dt}$</td></tr><tr><td style="padding: 8px; border: 1px solid #ddd;">Работа</td><td style="padding: 8px; border: 1px solid #ddd;">$A = \int \vec{F} \cdot d\vec{s}$</td><td style="padding: 8px; border: 1px solid #ddd;">$A = \int \vec{M} \cdot d\vec{\varphi}$</td></tr><tr><td style="padding: 8px; border: 1px solid #ddd;">Мощность</td><td style="padding: 8px; border: 1px solid #ddd;">$P = \vec{F} \cdot \vec{v}$</td><td style="padding: 8px; border: 1px solid #ddd;">$P = \vec{M} \cdot \vec{\omega}$</td></tr><tr><td style="padding: 8px; border: 1px solid #ddd;">Кинетическая энергия</td><td style="padding: 8px; border: 1px solid #ddd;">$E_k = \frac{mv^2}{2}$</td><td style="padding: 8px; border: 1px solid #ddd;">$E_k = \frac{I\omega^2}{2}$</td></tr><tr><td style="padding: 8px; border: 1px solid #ddd;">Уравнения кинематики<br>(при постоянном ускорении)</td><td style="padding: 8px; border: 1px solid #ddd;">$s = v_0 t + \frac{at^2}{2}$<br>$v = v_0 + at$<br>$s = \frac{v^2 - v_0^2}{2a}$</td><td style="padding: 8px; border: 1px solid #ddd;">$\varphi = \omega_0 t + \frac{\varepsilon t^2}{2}$<br>$\omega = \omega_0 + \varepsilon t$<br>$\varphi = \frac{\omega^2 - \omega_0^2}{2\varepsilon}$</td></tr></tbody></table><p><strong>Ответ:</strong></p><p>Таблица, представленная выше, содержит подробное сравнение и аналогии между основными понятиями и уравнениями поступательного и вращательного движения твёрдого тела.</p>" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1406234" "type" => "task" ] "previous" => array:2 [ "refs" => "1406232" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#4774 #items: array:1 [ 0 => App\Models\Book {#1006} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1406718" "type" => "book_page" ] ] #original: array:24 [ "id" => 1406233 "created_at" 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#dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] }
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