gdz.top
Задание 2, страница 201, часть 1 - гдз по физике 9 класс учебник Генденштейн, Булатова
Авторы: Генденштейн Л. Э., Булатова А. А., Корнильев И. Н., Кошкина А. В.
Тип: Учебник
Издательство: Бином
Год издания: 2016 - 2026
Часть: 1
Цвет обложки: бирюзовый
ISBN: 978-5-9963-3062-1
Популярные ГДЗ в 9 классе
Часть 1. Лабораторные работы. 6. Изучение колебаний нитяного маятника. Измерение ускорения свободного падения - страница 201.
App\Models\Task {#1030 // resources/views/models/task/default.blade.php #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1433920 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "201" "field_page_end" => null "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik/labrab6-2" "field_display_title" => "Задание 2" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1036 #items: [] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1034 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1074 #items: array:1 [ 0 => App\Models\Branch {#1035 #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" => 1433206 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => null "field_branch_order" => "1" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1038 #items: array:1 [ 0 => App\Models\Term {#1037 #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" => 31 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Часть" "field_cases" => array:6 [ "field_accusative_case" => "Часть" "field_creative_case" => "Частью" "field_dative_case" => "Части" "field_genitive_case" => "Части" "field_nominative_case" => "Часть" "field_prepositional_case" => "Части" ] "field_page_check_not_needed" => "1" "field_short_name" => "ч." ] #original: array:7 [ "id" => 31 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Часть" "field_cases" => array:6 [ "field_accusative_case" => "Часть" "field_creative_case" => "Частью" "field_dative_case" => "Части" "field_genitive_case" => "Части" "field_nominative_case" => "Часть" "field_prepositional_case" => "Части" ] "field_page_check_not_needed" => "1" "field_short_name" => "ч." ] #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" => "6" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1039 #items: array:1 [ 0 => App\Models\Book {#1040 #connection: "mysql" #table: "books" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:50 [ "id" => 2980 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_tree_default_status" => "tasks" "field_pages_status" => null "field_subject" => Illuminate\Database\Eloquent\Collection {#1041 #items: array:1 [ 0 => App\Models\Term {#1042 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ …10] …17 } ] #escapeWhenCastingToString: false } "field_class" => Illuminate\Database\Eloquent\Collection {#1043 #items: array:1 [ 0 => App\Models\Term {#1044 …30} ] #escapeWhenCastingToString: false } "field_publisher" => Illuminate\Database\Eloquent\Collection {#1045 #items: array:1 [ 0 => App\Models\Term {#1046 …30} ] #escapeWhenCastingToString: false } "field_author" => Illuminate\Database\Eloquent\Collection {#1047 #items: array:4 [ 0 => App\Models\Term {#1048 …30} 1 => App\Models\Term {#1049 …30} 2 => App\Models\Term {#1050 …30} 3 => App\Models\Term {#1051 …30} ] #escapeWhenCastingToString: false } "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1052 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1053 #items: array:1 [ 0 => App\Models\Term {#1054 …30} ] #escapeWhenCastingToString: false } "field_country" => Illuminate\Database\Eloquent\Collection {#1055 #items: array:1 [ 0 => App\Models\Term {#1056 …30} ] #escapeWhenCastingToString: false } "field_city" => Illuminate\Database\Eloquent\Collection {#1057 #items: array:1 [ 0 => App\Models\Term {#1058 …30} ] #escapeWhenCastingToString: false } "field_series" => Illuminate\Database\Eloquent\Collection {#1059 #items: [] #escapeWhenCastingToString: false } "field_umk" => Illuminate\Database\Eloquent\Collection {#1060 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1061 #items: [] #escapeWhenCastingToString: false } "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1062 #items: [] #escapeWhenCastingToString: false } "field_publication_number" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1063 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1064 #items: array:1 [ 0 => App\Models\Term {#1065 …30} ] #escapeWhenCastingToString: false } "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2016" "field_publication_year_until" => null "field_part" => "1, 2" "field_part_writing" => "Часть" "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" => "1111" "field_priority" => null "field_default_folder" => "/fizika_09/gendenshtejn-u/" "field_isbn" => "978-5-9963-3062-1" "field_cover" => array:2 [ 0 => "/media/fizika_09/gendenshtejn-u/covers/cover1.webp?ts=1759256052" 1 => "/media/fizika_09/gendenshtejn-u/covers/cover2.webp?ts=1759256052" ] "field_cover_alts" => array:2 [ 0 => "" 1 => "" ] "field_covers" => array:2 [ 0 => array:4 [ "path" => "/media/fizika_09/gendenshtejn-u/covers/cover1.webp?ts=1759256052" "alt" => "" "width" => "1863" "height" => "2813" ] 1 => array:4 [ "path" => "/media/fizika_09/gendenshtejn-u/covers/cover2.webp?ts=1759256052" "alt" => "" "width" => "1863" "height" => "2809" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1066 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1067 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1068 #items: [] #escapeWhenCastingToString: false } "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1069 #items: array:1 [ 0 => App\Models\Term {#1070 …30} ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 380 "subject" => 556 "class_subject" => 493 ] ] #original: array:50 [ "id" => 2980 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_tree_default_status" => "tasks" "field_pages_status" => null "field_subject" => Illuminate\Database\Eloquent\Collection {#1041} "field_class" => Illuminate\Database\Eloquent\Collection {#1043} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1045} "field_author" => Illuminate\Database\Eloquent\Collection {#1047} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1052} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1053} "field_country" => Illuminate\Database\Eloquent\Collection {#1055} "field_city" => Illuminate\Database\Eloquent\Collection {#1057} "field_series" => Illuminate\Database\Eloquent\Collection {#1059} "field_umk" => Illuminate\Database\Eloquent\Collection {#1060} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1061} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1062} "field_publication_number" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1063} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1064} "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2016" "field_publication_year_until" => null "field_part" => "1, 2" "field_part_writing" => "Часть" "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" => "1111" "field_priority" => null "field_default_folder" => "/fizika_09/gendenshtejn-u/" "field_isbn" => "978-5-9963-3062-1" "field_cover" => array:2 [ 0 => "/media/fizika_09/gendenshtejn-u/covers/cover1.webp?ts=1759256052" 1 => "/media/fizika_09/gendenshtejn-u/covers/cover2.webp?ts=1759256052" ] "field_cover_alts" => array:2 [ 0 => "" 1 => "" ] "field_covers" => array:2 [ 0 => array:4 [ "path" => "/media/fizika_09/gendenshtejn-u/covers/cover1.webp?ts=1759256052" "alt" => "" "width" => "1863" "height" => "2813" ] 1 => array:4 [ "path" => "/media/fizika_09/gendenshtejn-u/covers/cover2.webp?ts=1759256052" "alt" => "" "width" => "1863" "height" => "2809" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1066} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1067} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1068} "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1069} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 380 "subject" => 556 "class_subject" => 493 ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1071 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1433206 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => null "field_branch_order" => "1" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1038} "field_page_start" => "6" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1039} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1071} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1110 #items: array:3 [ 0 => App\Models\Branch {#1120 #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" => 1433206 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => null "field_branch_order" => "1" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1124 #items: array:1 [ 0 => App\Models\Term {#1121 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:7 [ "id" => 31 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Часть" "field_cases" => array:6 [ "field_accusative_case" => "Часть" "field_creative_case" => "Частью" "field_dative_case" => "Части" "field_genitive_case" => "Части" "field_nominative_case" => "Часть" "field_prepositional_case" => "Части" ] "field_page_check_not_needed" => "1" "field_short_name" => "ч." ] #original: array:7 [ "id" => 31 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Часть" "field_cases" => array:6 [ "field_accusative_case" => "Часть" "field_creative_case" => "Частью" "field_dative_case" => "Части" "field_genitive_case" => "Части" "field_nominative_case" => "Часть" "field_prepositional_case" => "Части" ] "field_page_check_not_needed" => "1" "field_short_name" => "ч." ] #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" => "6" "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 {#1156 #items: array:1 [ 0 => App\Models\Book {#1123 #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" => 2980 "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 {#1125 #items: array:1 [ 0 => App\Models\Term {#1122 #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 {#1126 #items: array:1 [ 0 => App\Models\Term {#1127 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 5458 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "9" "field_cases" => array:6 [ "field_accusative_case" => "девятый" "field_creative_case" => "девятым" "field_dative_case" => "девятому" "field_genitive_case" => "девятого" "field_nominative_case" => "девятый" "field_prepositional_case" => "девятом" ] "field_translit" => "devjatyj" ] #original: array:6 [ "id" => 5458 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "9" "field_cases" => array:6 [ "field_accusative_case" => "девятый" "field_creative_case" => "девятым" "field_dative_case" => "девятому" "field_genitive_case" => "девятого" "field_nominative_case" => "девятый" "field_prepositional_case" => "девятом" ] "field_translit" => "devjatyj" ] #changes: [] #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 {#1128 #items: array:1 [ 0 => App\Models\Term {#1129 #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" => 5208 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Бином" "field_cases" => null "field_translit" => "binom" ] #original: array:6 [ "id" => 5208 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Бином" "field_cases" => null "field_translit" => "binom" ] #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 {#1130 #items: array:4 [ 0 => App\Models\Term {#1131 #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" => 4104 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Генденштейн" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Лев" "field_patronymic" => "Элевич" "field_surname_rp" => "Генденштейна" ] #original: array:12 [ "id" => 4104 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Генденштейн" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Лев" "field_patronymic" => "Элевич" "field_surname_rp" => "Генденштейна" ] #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 {#1132 #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" => 3936 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Булатова" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Альбина" "field_patronymic" => "Александрова" "field_surname_rp" => null ] #original: array:12 [ "id" => 3936 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Булатова" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Альбина" "field_patronymic" => "Александрова" "field_surname_rp" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 2 => App\Models\Term {#1133 #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" => 4679 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Корнильев" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Игорь" "field_patronymic" => "Николаевич" "field_surname_rp" => null ] #original: array:12 [ "id" => 4679 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Корнильев" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Игорь" "field_patronymic" => "Николаевич" "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 => "*" ] } 3 => App\Models\Term {#1134 #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" => 4758 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Кошкина" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Анжелика" "field_patronymic" => "Васильевна" "field_surname_rp" => null ] #original: array:12 [ "id" => 4758 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Кошкина" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Анжелика" "field_patronymic" => "Васильевна" "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 {#1135 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1136 #items: array:1 [ 0 => App\Models\Term {#1137 #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 {#1138 #items: array:1 [ 0 => App\Models\Term {#1139 #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 {#1140 #items: array:1 [ 0 => App\Models\Term {#1141 #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 {#1142 #items: [] #escapeWhenCastingToString: false } "field_umk" => Illuminate\Database\Eloquent\Collection {#1143 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1144 #items: [] #escapeWhenCastingToString: false } "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1145 #items: [] #escapeWhenCastingToString: false } "field_publication_number" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1146 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1147 #items: array:1 [ 0 => App\Models\Term {#1148 #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" => 5395 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Орлов" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Владимир" "field_patronymic" => "Алексеевич" "field_surname_rp" => "Орлова" ] #original: array:12 [ "id" => 5395 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Орлов" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Владимир" "field_patronymic" => "Алексеевич" "field_surname_rp" => "Орлова" ] #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_degree" => null "field_cover_description" => null "field_publication_year" => "2016" "field_publication_year_until" => null "field_part" => "1, 2" "field_part_writing" => "Часть" "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" => "1111" "field_priority" => null "field_default_folder" => "/fizika_09/gendenshtejn-u/" "field_isbn" => "978-5-9963-3062-1" "field_cover" => array:2 [ 0 => "/media/fizika_09/gendenshtejn-u/covers/cover1.webp?ts=1759256052" 1 => "/media/fizika_09/gendenshtejn-u/covers/cover2.webp?ts=1759256052" ] "field_cover_alts" => array:2 [ 0 => "" 1 => "" ] "field_covers" => array:2 [ 0 => array:4 [ "path" => "/media/fizika_09/gendenshtejn-u/covers/cover1.webp?ts=1759256052" "alt" => "" "width" => "1863" "height" => "2813" ] 1 => array:4 [ "path" => "/media/fizika_09/gendenshtejn-u/covers/cover2.webp?ts=1759256052" "alt" => "" "width" => "1863" "height" => "2809" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1149 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1150 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1151 #items: [] #escapeWhenCastingToString: false } "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1152 #items: array:1 [ 0 => App\Models\Term {#1153 #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" => 6978 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "бирюзовый" "field_cases" => array:6 [ "field_accusative_case" => "бирюзовый" "field_creative_case" => "бирюзовым" "field_dative_case" => "бирюзовому" "field_genitive_case" => "бирюзового" "field_nominative_case" => "бирюзовый" "field_prepositional_case" => "бирюзовом" ] "field_translit" => "biruzovyy" ] #original: array:6 [ "id" => 6978 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "бирюзовый" "field_cases" => array:6 [ "field_accusative_case" => "бирюзовый" "field_creative_case" => "бирюзовым" "field_dative_case" => "бирюзовому" "field_genitive_case" => "бирюзового" "field_nominative_case" => "бирюзовый" "field_prepositional_case" => "бирюзовом" ] "field_translit" => "biruzovyy" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 380 "subject" => 556 "class_subject" => 493 ] ] #original: array:50 [ "id" => 2980 "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 {#1125} "field_class" => Illuminate\Database\Eloquent\Collection {#1126} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1128} "field_author" => Illuminate\Database\Eloquent\Collection {#1130} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1135} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1136} "field_country" => Illuminate\Database\Eloquent\Collection {#1138} "field_city" => Illuminate\Database\Eloquent\Collection {#1140} "field_series" => Illuminate\Database\Eloquent\Collection {#1142} "field_umk" => Illuminate\Database\Eloquent\Collection {#1143} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1144} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1145} "field_publication_number" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1146} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1147} "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2016" "field_publication_year_until" => null "field_part" => "1, 2" "field_part_writing" => "Часть" "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" => "1111" "field_priority" => null "field_default_folder" => "/fizika_09/gendenshtejn-u/" "field_isbn" => "978-5-9963-3062-1" "field_cover" => array:2 [ 0 => "/media/fizika_09/gendenshtejn-u/covers/cover1.webp?ts=1759256052" 1 => "/media/fizika_09/gendenshtejn-u/covers/cover2.webp?ts=1759256052" ] "field_cover_alts" => array:2 [ 0 => "" 1 => "" ] "field_covers" => array:2 [ 0 => array:4 [ "path" => "/media/fizika_09/gendenshtejn-u/covers/cover1.webp?ts=1759256052" "alt" => "" "width" => "1863" "height" => "2813" ] 1 => array:4 [ "path" => "/media/fizika_09/gendenshtejn-u/covers/cover2.webp?ts=1759256052" "alt" => "" "width" => "1863" "height" => "2809" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1149} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1150} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1151} "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1152} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 380 "subject" => 556 "class_subject" => 493 ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1154 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1433206 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => null "field_branch_order" => "1" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1124} "field_page_start" => "6" "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 {#1156} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1154} ] #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 {#1155 #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" => 1433234 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Лабораторные работы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1157 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "194" "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 {#1158 #items: array:1 [ 0 => App\Models\Book {#1123} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1159 #items: array:1 [ 0 => App\Models\Branch {#1035} ] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1433234 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Лабораторные работы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1157} "field_page_start" => "194" "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 {#1158} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1159} ] #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 {#1160 #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" => 1433240 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "6. Изучение колебаний нитяного маятника. Измерение ускорения свободного падения" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1161 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "200" "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 {#1162 #items: array:1 [ 0 => App\Models\Book {#1123} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1171 #items: array:1 [ 0 => App\Models\Branch {#1170 #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" => 1433234 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Лабораторные работы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1172 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "194" "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 {#1173 #items: array:1 [ 0 => App\Models\Book {#1123} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1174 #items: array:1 [ 0 => App\Models\Branch {#1035} ] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1433234 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Лабораторные работы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1172} "field_page_start" => "194" "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 {#1173} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1174} ] #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" => 1433240 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "6. Изучение колебаний нитяного маятника. Измерение ускорения свободного падения" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1161} "field_page_start" => "200" "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 {#1162} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1171} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1072 #items: array:2 [ 0 => App\Models\Element {#1101 #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" => 1697084 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1092 #items: array:1 [ 0 => App\Models\Edition {#1102 #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" => 6168 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1099 #items: array:1 [ 0 => App\Models\Term {#1100 …30} ] #escapeWhenCastingToString: false } "field_content_type" => "free" "field_content_mode" => "text, image" "field_page_content_mode" => "image" "field_content_text_checked" => "0" "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 {#1098 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1097 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1096 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 6168 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1099} "field_content_type" => "free" "field_content_mode" => "text, image" "field_page_content_mode" => "image" "field_content_text_checked" => "0" "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 {#1098} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1097} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1096} "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" => "1433920" "type" => "task" ] "text" => "<p><strong>Задание 2. Исследование зависимости периода колебаний нитяного маятника от массы груза.</strong></p><p>• Подвешивая к одному концу нити поочерёдно грузы разной массы, измерьте время тридцати полных колебаний и запишите результат с указанием погрешности в таблицу. Заголовок таблицы приведён ниже.</p><p>N | $\text{l}$, м | $t_1$, с | $T_1$, с | $t_2$, с | $T_2$, с</p><p>• Найдите периоды $T_1$ и $T_2$ колебаний маятника с грузами разной массы. Запишите результаты с указанием погрешностей в таблицу.</p><p>• Сравните результаты двух опытов и запишите вывод о зависимости или независимости периода колебаний математического маятника от массы груза в тетрадь.</p>" "img" => array:1 [ 0 => array:5 [ "name" => "2-1.jpg" "alt" => null "width" => "1611" "height" => 836 "path" => "/media/fizika_09/gendenshtejn-u/0-labrab6/2-1.webp?ts=1759348497" ] ] ] #original: array:7 [ "id" => 1697084 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1092} "task" => array:2 [ "refs" => "1433920" "type" => "task" ] "text" => "<p><strong>Задание 2. Исследование зависимости периода колебаний нитяного маятника от массы груза.</strong></p><p>• Подвешивая к одному концу нити поочерёдно грузы разной массы, измерьте время тридцати полных колебаний и запишите результат с указанием погрешности в таблицу. Заголовок таблицы приведён ниже.</p><p>N | $\text{l}$, м | $t_1$, с | $T_1$, с | $t_2$, с | $T_2$, с</p><p>• Найдите периоды $T_1$ и $T_2$ колебаний маятника с грузами разной массы. Запишите результаты с указанием погрешностей в таблицу.</p><p>• Сравните результаты двух опытов и запишите вывод о зависимости или независимости периода колебаний математического маятника от массы груза в тетрадь.</p>" "img" => array:1 [ 0 => array:5 [ "name" => "2-1.jpg" "alt" => null "width" => "1611" "height" => 836 "path" => "/media/fizika_09/gendenshtejn-u/0-labrab6/2-1.webp?ts=1759348497" ] ] ] #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 {#1094 #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" => 1781154 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1086 #items: array:1 [ 0 => App\Models\Edition {#1095 #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" => 6515 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1090 #items: array:1 [ 0 => App\Models\Term {#1093 …30} ] #escapeWhenCastingToString: false } "field_content_type" => "free" "field_content_mode" => "text" "field_page_content_mode" => "" "field_content_text_checked" => "0" "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 {#1091 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1089 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1084 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 6515 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1090} "field_content_type" => "free" "field_content_mode" => "text" "field_page_content_mode" => "" "field_content_text_checked" => "0" "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 {#1091} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1089} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1084} "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" => "1433920" "type" => "task" ] "text" => "<p>Для выполнения данного задания проведем мысленный эксперимент, так как реальное измерение невозможно. Предположим, что у нас есть нитяной маятник, длину нити которого мы зафиксировали, два груза разной массы и секундомер для измерения времени.</p><p><strong>Дано:</strong></p><p>Число полных колебаний: $N = 30$<br>Длина нити маятника: $l = 1$ м<br>Масса первого груза: $m_1$<br>Масса второго груза: $m_2$ (причем $m_1 \neq m_2$)<br>Время 30 колебаний для первого груза (измеренное): $t_1 = 60.5$ с<br>Время 30 колебаний для второго груза (измеренное): $t_2 = 60.2$ с<br>Абсолютная погрешность измерения времени: $\Delta t = 0.5$ с (учитывает погрешность секундомера и время реакции экспериментатора)</p><p><strong>Найти:</strong></p><p>Периоды колебаний $T_1$ и $T_2$ для грузов разной массы, сравнить их и сделать вывод о зависимости периода от массы.</p><p><strong>Решение:</strong></p><p><strong>Подвешивая к одному концу нити поочерёдно грузы разной массы, измерьте время тридцати полных колебаний и запишите результат с указанием погрешности в таблицу. Заголовок таблицы приведён ниже.</strong></p><p>Проводим два опыта с грузами разной массы, сохраняя длину нити маятника постоянной. Измеряем время $\text{t}$ для $N=30$ полных колебаний для каждого груза. Результаты измерений и последующих расчетов, выполненных в следующем пункте, заносим в таблицу с указанием погрешностей.</p><table border="1" style="width:100%; border-collapse: collapse; text-align: center;"><thead><tr><th>$\text{N}$</th><th>$\text{l}$, м</th><th>$t_1$, с</th><th>$T_1$, с</th><th>$t_2$, с</th><th>$T_2$, с</th></tr></thead><tbody><tr><td>30</td><td>1</td><td>$60.5 \pm 0.5$</td><td>$2.02 \pm 0.02$</td><td>$60.2 \pm 0.5$</td><td>$2.01 \pm 0.02$</td></tr></tbody></table><p><strong>Ответ:</strong> Результаты измерений и расчетов представлены в таблице.</p><p><strong>Найдите периоды $T_1$ и $T_2$ колебаний маятника с грузами разной массы. Запишите результаты с указанием погрешностей в таблицу.</strong></p><p>Период колебаний ($\text{T}$) — это время одного полного колебания. Он рассчитывается по формуле:</p><p>$T = \frac{t}{N}$</p><p>где $\text{t}$ — время $\text{N}$ полных колебаний.</p><p>Абсолютная погрешность периода ($\Delta T$) рассчитывается по формуле:</p><p>$\Delta T = \frac{\Delta t}{N}$</p><p><strong>1.</strong> <u>Расчет для первого опыта (с грузом массы $m_1$):</u></p><p>Найдем период $T_1$:</p><p>$T_1 = \frac{t_1}{N} = \frac{60.5 \text{ с}}{30} \approx 2.0166... \text{ с}$</p><p>Найдем абсолютную погрешность периода $\Delta T_1$:</p><p>$\Delta T_1 = \frac{\Delta t_1}{N} = \frac{0.5 \text{ с}}{30} \approx 0.0166... \text{ с}$</p><p>Округлим погрешность до одной значащей цифры: $\Delta T_1 \approx 0.02$ с. Затем округлим значение периода до того же знака после запятой (до сотых): $T_1 \approx 2.02$ с.</p><p>Таким образом, результат для первого опыта: $T_1 = (2.02 \pm 0.02)$ с.</p><p><strong>2.</strong> <u>Расчет для второго опыта (с грузом массы $m_2$):</u></p><p>Найдем период $T_2$:</p><p>$T_2 = \frac{t_2}{N} = \frac{60.2 \text{ с}}{30} \approx 2.0066... \text{ с}$</p><p>Найдем абсолютную погрешность периода $\Delta T_2$:</p><p>$\Delta T_2 = \frac{\Delta t_2}{N} = \frac{0.5 \text{ с}}{30} \approx 0.0166... \text{ с}$</p><p>Округлим погрешность до одной значащей цифры: $\Delta T_2 \approx 0.02$ с. Затем округлим значение периода до того же знака после запятой (до сотых): $T_2 \approx 2.01$ с.</p><p>Таким образом, результат для второго опыта: $T_2 = (2.01 \pm 0.02)$ с.</p><p>Эти результаты были занесены в таблицу в предыдущем пункте.</p><p><strong>Ответ:</strong> Период колебаний в первом опыте $T_1 = (2.02 \pm 0.02)$ с. Период колебаний во втором опыте $T_2 = (2.01 \pm 0.02)$ с.</p><p><strong>Сравните результаты двух опытов и запишите вывод о зависимости или независимости периода колебаний математического маятника от массы груза в тетрадь.</strong></p><p>Для сравнения результатов, полученных в двух опытах, проверим, пересекаются ли интервалы значений периодов $T_1$ и $T_2$, определенные с учетом погрешностей.</p><p>Интервал для $T_1$: $[T_1 - \Delta T_1; T_1 + \Delta T_1] = [2.02 - 0.02; 2.02 + 0.02] = [2.00 \text{ с}; 2.04 \text{ с}]$</p><p>Интервал для $T_2$: $[T_2 - \Delta T_2; T_2 + \Delta T_2] = [2.01 - 0.02; 2.01 + 0.02] = [1.99 \text{ с}; 2.03 \text{ с}]$</p><p>Полученные интервалы значений $[2.00; 2.04]$ и $[1.99; 2.03]$ пересекаются. Это означает, что различие между измеренными значениями периодов $T_1$ и $T_2$ статистически незначимо и лежит в пределах погрешности измерений. Следовательно, в рамках проведенного эксперимента мы можем считать, что значения периодов равны.</p><p><u>Вывод:</u></p><p>На основе проведенного эксперимента можно заключить, что период колебаний нитяного (математического) маятника не зависит от массы его груза. Небольшое различие в полученных значениях периода объясняется неизбежными погрешностями измерений.</p><p>Этот вывод согласуется с теоретической формулой для периода колебаний математического маятника: $T = 2\pi\sqrt{\frac{l}{g}}$, которая не содержит массу $\text{m}$.</p><p><strong>Ответ:</strong> Период колебаний математического маятника не зависит от массы груза. Полученные в опытах значения $T_1 = (2.02 \pm 0.02)$ с и $T_2 = (2.01 \pm 0.02)$ с совпадают в пределах погрешности измерений.</p>" ] #original: array:6 [ "id" => 1781154 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1086} "task" => array:2 [ "refs" => "1433920" "type" => "task" ] "text" => "<p>Для выполнения данного задания проведем мысленный эксперимент, так как реальное измерение невозможно. Предположим, что у нас есть нитяной маятник, длину нити которого мы зафиксировали, два груза разной массы и секундомер для измерения времени.</p><p><strong>Дано:</strong></p><p>Число полных колебаний: $N = 30$<br>Длина нити маятника: $l = 1$ м<br>Масса первого груза: $m_1$<br>Масса второго груза: $m_2$ (причем $m_1 \neq m_2$)<br>Время 30 колебаний для первого груза (измеренное): $t_1 = 60.5$ с<br>Время 30 колебаний для второго груза (измеренное): $t_2 = 60.2$ с<br>Абсолютная погрешность измерения времени: $\Delta t = 0.5$ с (учитывает погрешность секундомера и время реакции экспериментатора)</p><p><strong>Найти:</strong></p><p>Периоды колебаний $T_1$ и $T_2$ для грузов разной массы, сравнить их и сделать вывод о зависимости периода от массы.</p><p><strong>Решение:</strong></p><p><strong>Подвешивая к одному концу нити поочерёдно грузы разной массы, измерьте время тридцати полных колебаний и запишите результат с указанием погрешности в таблицу. Заголовок таблицы приведён ниже.</strong></p><p>Проводим два опыта с грузами разной массы, сохраняя длину нити маятника постоянной. Измеряем время $\text{t}$ для $N=30$ полных колебаний для каждого груза. Результаты измерений и последующих расчетов, выполненных в следующем пункте, заносим в таблицу с указанием погрешностей.</p><table border="1" style="width:100%; border-collapse: collapse; text-align: center;"><thead><tr><th>$\text{N}$</th><th>$\text{l}$, м</th><th>$t_1$, с</th><th>$T_1$, с</th><th>$t_2$, с</th><th>$T_2$, с</th></tr></thead><tbody><tr><td>30</td><td>1</td><td>$60.5 \pm 0.5$</td><td>$2.02 \pm 0.02$</td><td>$60.2 \pm 0.5$</td><td>$2.01 \pm 0.02$</td></tr></tbody></table><p><strong>Ответ:</strong> Результаты измерений и расчетов представлены в таблице.</p><p><strong>Найдите периоды $T_1$ и $T_2$ колебаний маятника с грузами разной массы. Запишите результаты с указанием погрешностей в таблицу.</strong></p><p>Период колебаний ($\text{T}$) — это время одного полного колебания. Он рассчитывается по формуле:</p><p>$T = \frac{t}{N}$</p><p>где $\text{t}$ — время $\text{N}$ полных колебаний.</p><p>Абсолютная погрешность периода ($\Delta T$) рассчитывается по формуле:</p><p>$\Delta T = \frac{\Delta t}{N}$</p><p><strong>1.</strong> <u>Расчет для первого опыта (с грузом массы $m_1$):</u></p><p>Найдем период $T_1$:</p><p>$T_1 = \frac{t_1}{N} = \frac{60.5 \text{ с}}{30} \approx 2.0166... \text{ с}$</p><p>Найдем абсолютную погрешность периода $\Delta T_1$:</p><p>$\Delta T_1 = \frac{\Delta t_1}{N} = \frac{0.5 \text{ с}}{30} \approx 0.0166... \text{ с}$</p><p>Округлим погрешность до одной значащей цифры: $\Delta T_1 \approx 0.02$ с. Затем округлим значение периода до того же знака после запятой (до сотых): $T_1 \approx 2.02$ с.</p><p>Таким образом, результат для первого опыта: $T_1 = (2.02 \pm 0.02)$ с.</p><p><strong>2.</strong> <u>Расчет для второго опыта (с грузом массы $m_2$):</u></p><p>Найдем период $T_2$:</p><p>$T_2 = \frac{t_2}{N} = \frac{60.2 \text{ с}}{30} \approx 2.0066... \text{ с}$</p><p>Найдем абсолютную погрешность периода $\Delta T_2$:</p><p>$\Delta T_2 = \frac{\Delta t_2}{N} = \frac{0.5 \text{ с}}{30} \approx 0.0166... \text{ с}$</p><p>Округлим погрешность до одной значащей цифры: $\Delta T_2 \approx 0.02$ с. Затем округлим значение периода до того же знака после запятой (до сотых): $T_2 \approx 2.01$ с.</p><p>Таким образом, результат для второго опыта: $T_2 = (2.01 \pm 0.02)$ с.</p><p>Эти результаты были занесены в таблицу в предыдущем пункте.</p><p><strong>Ответ:</strong> Период колебаний в первом опыте $T_1 = (2.02 \pm 0.02)$ с. Период колебаний во втором опыте $T_2 = (2.01 \pm 0.02)$ с.</p><p><strong>Сравните результаты двух опытов и запишите вывод о зависимости или независимости периода колебаний математического маятника от массы груза в тетрадь.</strong></p><p>Для сравнения результатов, полученных в двух опытах, проверим, пересекаются ли интервалы значений периодов $T_1$ и $T_2$, определенные с учетом погрешностей.</p><p>Интервал для $T_1$: $[T_1 - \Delta T_1; T_1 + \Delta T_1] = [2.02 - 0.02; 2.02 + 0.02] = [2.00 \text{ с}; 2.04 \text{ с}]$</p><p>Интервал для $T_2$: $[T_2 - \Delta T_2; T_2 + \Delta T_2] = [2.01 - 0.02; 2.01 + 0.02] = [1.99 \text{ с}; 2.03 \text{ с}]$</p><p>Полученные интервалы значений $[2.00; 2.04]$ и $[1.99; 2.03]$ пересекаются. Это означает, что различие между измеренными значениями периодов $T_1$ и $T_2$ статистически незначимо и лежит в пределах погрешности измерений. Следовательно, в рамках проведенного эксперимента мы можем считать, что значения периодов равны.</p><p><u>Вывод:</u></p><p>На основе проведенного эксперимента можно заключить, что период колебаний нитяного (математического) маятника не зависит от массы его груза. Небольшое различие в полученных значениях периода объясняется неизбежными погрешностями измерений.</p><p>Этот вывод согласуется с теоретической формулой для периода колебаний математического маятника: $T = 2\pi\sqrt{\frac{l}{g}}$, которая не содержит массу $\text{m}$.</p><p><strong>Ответ:</strong> Период колебаний математического маятника не зависит от массы груза. Полученные в опытах значения $T_1 = (2.02 \pm 0.02)$ с и $T_2 = (2.01 \pm 0.02)$ с совпадают в пределах погрешности измерений.</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" => "1433921" "type" => "task" ] "previous" => array:2 [ "refs" => "1433919" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1105 #items: array:1 [ 0 => App\Models\Book {#1123} ] #escapeWhenCastingToString: false } "page" => Illuminate\Database\Eloquent\Collection {#1079 #items: array:1 [ 0 => App\Models\BookPage {#1078 #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" => 1434600 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "201" "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik/page-1-201" "field_display_title" => "201" "field_folder" => "1" "field_image_name" => "201" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1075 #items: array:1 [ 0 => App\Models\Branch {#1120} ] #escapeWhenCastingToString: false } "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1073 #items: array:1 [ 0 => App\Models\Book {#1123} ] #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 {#1111 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1167 #items: array:1 [ 0 => App\Models\Element {#1163 #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" => 1697323 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1165 #items: array:1 [ 0 => App\Models\Edition {#1102} ] #escapeWhenCastingToString: false } "book_page" => array:2 [ "refs" => "1434600" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "201-1.jpg" "alt" => null "width" => "1938" "height" => 2805 "path" => "/media/fizika_09/gendenshtejn-u/0-1/201-1.webp?ts=1759352745" ] ] ] #original: array:6 [ "id" => 1697323 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1165} "book_page" => array:2 [ "refs" => "1434600" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "201-1.jpg" "alt" => null "width" => "1938" "height" => 2805 "path" => "/media/fizika_09/gendenshtejn-u/0-1/201-1.webp?ts=1759352745" ] ] ] #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" => "1434601" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1434599" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1274 #items: array:3 [ 0 => App\Models\Task {#1284 #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" => 1433920 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "201" "field_page_end" => null "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik/labrab6-2" "field_display_title" => "Задание 2" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1285 #items: [] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1286 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1287 #items: array:1 [ 0 => App\Models\Branch {#1120} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1288 #items: array:3 [ 0 => App\Models\Branch {#1120} 1 => App\Models\Branch {#1155} 2 => App\Models\Branch {#1160} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1289 #items: array:2 [ 0 => App\Models\Element {#1101} 1 => App\Models\Element {#1094} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1433921" "type" => "task" ] "previous" => array:2 [ "refs" => "1433919" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1290 #items: array:1 [ 0 => App\Models\Book {#1123} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1434600" "type" => "book_page" ] ] #original: array:24 [ "id" => 1433920 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "201" "field_page_end" => null "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik/labrab6-2" "field_display_title" => "Задание 2" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1285} "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 {#1286} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1287} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1288} "content" => Illuminate\Database\Eloquent\Collection {#1289} "next" => array:2 [ "refs" => "1433921" "type" => "task" ] "previous" => array:2 [ "refs" => "1433919" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1290} "page" => array:2 [ "refs" => "1434600" "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 {#1291 #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" => 1433921 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "201" "field_page_end" => null "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik/labrab6-3" "field_display_title" => "Задание 3" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1292 #items: [] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1293 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1294 #items: array:1 [ 0 => App\Models\Branch {#1120} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1295 #items: array:3 [ 0 => App\Models\Branch {#1120} 1 => App\Models\Branch {#1155} 2 => App\Models\Branch {#1160} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1297 #items: array:2 [ 0 => App\Models\Element {#1306 …30} 1 => App\Models\Element {#1308 …30} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1433922" "type" => "task" ] "previous" => array:2 [ "refs" => "1433920" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1303 #items: array:1 [ 0 => App\Models\Book {#1123} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1434600" "type" => "book_page" ] ] #original: array:24 [ "id" => 1433921 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "201" "field_page_end" => null "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik/labrab6-3" "field_display_title" => "Задание 3" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1292} "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 {#1293} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1294} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1295} "content" => Illuminate\Database\Eloquent\Collection {#1297} "next" => array:2 [ "refs" => "1433922" "type" => "task" ] "previous" => array:2 [ "refs" => "1433920" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1303} "page" => array:2 [ "refs" => "1434600" "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 {#1298 #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" => 1433922 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "201" "field_page_end" => "202" "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik/labrab7-1" "field_display_title" => "Задание 1" "field_outside_task" => "0" "field_task_type" => Illuminate\Database\Eloquent\Collection {#1296 #items: [] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1305 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1301 #items: array:1 [ 0 => App\Models\Branch {#1120} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1415 #items: array:3 [ 0 => App\Models\Branch {#1425 …30} 1 => App\Models\Branch {#1429 …30} 2 => App\Models\Branch {#1433 …30} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1343 #items: array:2 [ 0 => App\Models\Element {#1409 …30} 1 => App\Models\Element {#1406 …30} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1433923" "type" => "task" ] "previous" => array:2 [ "refs" => "1433921" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1411 #items: array:1 [ 0 => App\Models\Book {#1123} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1434600" "type" => "book_page" ] ] #original: array:24 [ "id" => 1433922 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "201" "field_page_end" => "202" "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik/labrab7-1" "field_display_title" => "Задание 1" "field_outside_task" => "0" "field_task_type" => Illuminate\Database\Eloquent\Collection {#1296} "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 {#1305} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1301} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1415} "content" => Illuminate\Database\Eloquent\Collection {#1343} "next" => array:2 [ "refs" => "1433923" "type" => "task" ] "previous" => array:2 [ "refs" => "1433921" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1411} "page" => array:2 [ "refs" => "1434600" "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" => 1434600 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "201" "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik/page-1-201" "field_display_title" => "201" "field_folder" => "1" "field_image_name" => "201" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1075} "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1073} "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 {#1111} "content" => Illuminate\Database\Eloquent\Collection {#1167} "next" => array:2 [ "refs" => "1434601" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1434599" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1274} ] #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" => 1433920 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "201" "field_page_end" => null "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik/labrab6-2" "field_display_title" => "Задание 2" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1036} "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 {#1034} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1074} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1110} "content" => Illuminate\Database\Eloquent\Collection {#1072} "next" => array:2 [ "refs" => "1433921" "type" => "task" ] "previous" => array:2 [ "refs" => "1433919" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1105} "page" => array:2 [ "refs" => "1434600" "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 => "*" ] }
Задание 2 (с. 201)
Условие. Задание 2 (с. 201)
скриншот условия
Задание 2. Исследование зависимости периода колебаний нитяного маятника от массы груза.
• Подвешивая к одному концу нити поочерёдно грузы разной массы, измерьте время тридцати полных колебаний и запишите результат с указанием погрешности в таблицу. Заголовок таблицы приведён ниже.
N | $\text{l}$, м | $t_1$, с | $T_1$, с | $t_2$, с | $T_2$, с
• Найдите периоды $T_1$ и $T_2$ колебаний маятника с грузами разной массы. Запишите результаты с указанием погрешностей в таблицу.
• Сравните результаты двух опытов и запишите вывод о зависимости или независимости периода колебаний математического маятника от массы груза в тетрадь.
Решение. Задание 2 (с. 201)
Для выполнения данного задания проведем мысленный эксперимент, так как реальное измерение невозможно. Предположим, что у нас есть нитяной маятник, длину нити которого мы зафиксировали, два груза разной массы и секундомер для измерения времени.
Дано:
Число полных колебаний: $N = 30$
Длина нити маятника: $l = 1$ м
Масса первого груза: $m_1$
Масса второго груза: $m_2$ (причем $m_1 \neq m_2$)
Время 30 колебаний для первого груза (измеренное): $t_1 = 60.5$ с
Время 30 колебаний для второго груза (измеренное): $t_2 = 60.2$ с
Абсолютная погрешность измерения времени: $\Delta t = 0.5$ с (учитывает погрешность секундомера и время реакции экспериментатора)
Найти:
Периоды колебаний $T_1$ и $T_2$ для грузов разной массы, сравнить их и сделать вывод о зависимости периода от массы.
Решение:
Подвешивая к одному концу нити поочерёдно грузы разной массы, измерьте время тридцати полных колебаний и запишите результат с указанием погрешности в таблицу. Заголовок таблицы приведён ниже.
Проводим два опыта с грузами разной массы, сохраняя длину нити маятника постоянной. Измеряем время $\text{t}$ для $N=30$ полных колебаний для каждого груза. Результаты измерений и последующих расчетов, выполненных в следующем пункте, заносим в таблицу с указанием погрешностей.
| $\text{N}$ | $\text{l}$, м | $t_1$, с | $T_1$, с | $t_2$, с | $T_2$, с |
|---|---|---|---|---|---|
| 30 | 1 | $60.5 \pm 0.5$ | $2.02 \pm 0.02$ | $60.2 \pm 0.5$ | $2.01 \pm 0.02$ |
Ответ: Результаты измерений и расчетов представлены в таблице.
Найдите периоды $T_1$ и $T_2$ колебаний маятника с грузами разной массы. Запишите результаты с указанием погрешностей в таблицу.
Период колебаний ($\text{T}$) — это время одного полного колебания. Он рассчитывается по формуле:
$T = \frac{t}{N}$
где $\text{t}$ — время $\text{N}$ полных колебаний.
Абсолютная погрешность периода ($\Delta T$) рассчитывается по формуле:
$\Delta T = \frac{\Delta t}{N}$
1. Расчет для первого опыта (с грузом массы $m_1$):
Найдем период $T_1$:
$T_1 = \frac{t_1}{N} = \frac{60.5 \text{ с}}{30} \approx 2.0166... \text{ с}$
Найдем абсолютную погрешность периода $\Delta T_1$:
$\Delta T_1 = \frac{\Delta t_1}{N} = \frac{0.5 \text{ с}}{30} \approx 0.0166... \text{ с}$
Округлим погрешность до одной значащей цифры: $\Delta T_1 \approx 0.02$ с. Затем округлим значение периода до того же знака после запятой (до сотых): $T_1 \approx 2.02$ с.
Таким образом, результат для первого опыта: $T_1 = (2.02 \pm 0.02)$ с.
2. Расчет для второго опыта (с грузом массы $m_2$):
Найдем период $T_2$:
$T_2 = \frac{t_2}{N} = \frac{60.2 \text{ с}}{30} \approx 2.0066... \text{ с}$
Найдем абсолютную погрешность периода $\Delta T_2$:
$\Delta T_2 = \frac{\Delta t_2}{N} = \frac{0.5 \text{ с}}{30} \approx 0.0166... \text{ с}$
Округлим погрешность до одной значащей цифры: $\Delta T_2 \approx 0.02$ с. Затем округлим значение периода до того же знака после запятой (до сотых): $T_2 \approx 2.01$ с.
Таким образом, результат для второго опыта: $T_2 = (2.01 \pm 0.02)$ с.
Эти результаты были занесены в таблицу в предыдущем пункте.
Ответ: Период колебаний в первом опыте $T_1 = (2.02 \pm 0.02)$ с. Период колебаний во втором опыте $T_2 = (2.01 \pm 0.02)$ с.
Сравните результаты двух опытов и запишите вывод о зависимости или независимости периода колебаний математического маятника от массы груза в тетрадь.
Для сравнения результатов, полученных в двух опытах, проверим, пересекаются ли интервалы значений периодов $T_1$ и $T_2$, определенные с учетом погрешностей.
Интервал для $T_1$: $[T_1 - \Delta T_1; T_1 + \Delta T_1] = [2.02 - 0.02; 2.02 + 0.02] = [2.00 \text{ с}; 2.04 \text{ с}]$
Интервал для $T_2$: $[T_2 - \Delta T_2; T_2 + \Delta T_2] = [2.01 - 0.02; 2.01 + 0.02] = [1.99 \text{ с}; 2.03 \text{ с}]$
Полученные интервалы значений $[2.00; 2.04]$ и $[1.99; 2.03]$ пересекаются. Это означает, что различие между измеренными значениями периодов $T_1$ и $T_2$ статистически незначимо и лежит в пределах погрешности измерений. Следовательно, в рамках проведенного эксперимента мы можем считать, что значения периодов равны.
Вывод:
На основе проведенного эксперимента можно заключить, что период колебаний нитяного (математического) маятника не зависит от массы его груза. Небольшое различие в полученных значениях периода объясняется неизбежными погрешностями измерений.
Этот вывод согласуется с теоретической формулой для периода колебаний математического маятника: $T = 2\pi\sqrt{\frac{l}{g}}$, которая не содержит массу $\text{m}$.
Ответ: Период колебаний математического маятника не зависит от массы груза. Полученные в опытах значения $T_1 = (2.02 \pm 0.02)$ с и $T_2 = (2.01 \pm 0.02)$ с совпадают в пределах погрешности измерений.
Другие задания:
Помогло решение? Оставьте отзыв в комментариях ниже.
Присоединяйтесь к Телеграм-группе @top_gdz
ПрисоединитьсяМы подготовили для вас ответ c подробным объяснением домашего задания по физике за 9 класс, для упражнения Задание 2 расположенного на странице 201 для 1-й части к учебнику 2016 года издания для учащихся школ и гимназий.
Теперь на нашем сайте ГДЗ.ТОП вы всегда легко и бесплатно найдёте условие с правильным ответом на вопрос «Как решить ДЗ» и «Как сделать» задание по физике к упражнению Задание 2 (с. 201), авторов: Генденштейн (Лев Элевич), Булатова (Альбина Александрова), Корнильев (Игорь Николаевич), Кошкина (Анжелика Васильевна), 1-й части учебного пособия издательства Бином.