gdz.top
Задание 1, страница 195, 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. 2. Проверка справедливости гипотезы о зависимости средней скорости тела от пройденного пути при равноускоренном движении - страница 195.
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" => 1433911 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "195" "field_page_end" => "196" "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik/labrab2-1" "field_display_title" => "Задание 1" "field_outside_task" => "0" "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" …29 } ] #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" => 1433236 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "2. Проверка справедливости гипотезы о зависимости средней скорости тела от пройденного пути при равноускоренном движении" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1161 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "195" "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" => 1433236 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "2. Проверка справедливости гипотезы о зависимости средней скорости тела от пройденного пути при равноускоренном движении" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1161} "field_page_start" => "195" "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" => 1697075 "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" => "1433911" "type" => "task" ] "text" => "<p><strong>2. Проверка справедливости гипотезы о зависимости средней скорости тела от пройденного пути при равноускоренном движении</strong></p><p><strong><em>Цель работы: </em></strong>проверить справедливость гипотезы: «При равноускоренном движении средняя скорость тела пропорциональна пройденному пути».</p><p><strong><em>Оборудование: </em></strong>металлический или пластмассовый шарик, желоб, секундомер или часы с секундной стрелкой, сантиметровая лента, металлический цилиндр.</p><p><strong>Ход работы</strong></p><p>Задание 1. Измерение средней скорости шарика при разных значениях пройденного им пути.</p><p>• Измерьте длину желоба $l_1$. Результат измерений с указанием погрешности запишите в таблицу в тетради. Ниже приведён заголовок этой таблицы.</p><p>$t_1$, с | $l_1$, м | $t_2$, с | $l_2$, м | $v_{1ср}$, м/с | $v_{2ср}$, м/с</p><p>• Разделите длину желоба на четыре равные части. Измерьте длину одной части $l_2$ и результат измерения с указанием погрешности запишите в таблицу.</p><p>• Подкладывая тетради под один конец желоба, подберите такой угол наклона желоба, чтобы отпущенный без толчка шарик скатывался по нему за $t_1 = 4$ с. На нижнем краю желоба положите металлический цилиндр, чтобы, скатившись по желобу, шарик остался в нём.</p><p>• Положите шарик на верхний край желоба и отпустите без толчка. Измерьте промежуток времени $t_2$, за который шарик проходит первую четверть пути. Результат измерений с указанием погрешностей запишите в таблицу.</p><p>• Средняя скорость определяется формулой $v_{ср} = \frac{l}{t}$. Используя это соотношение, найдите значения средней скорости шарика на всём пути ($v_{1ср}$) и на первой четверти пути ($v_{2ср}$). Запишите результаты (без указания погрешностей) в таблицу.</p>" "img" => array:2 [ 0 => array:5 [ "name" => "1-1.jpg" "alt" => null "width" => "1623" "height" => 1411 "path" => "/media/fizika_09/gendenshtejn-u/0-labrab2/1-1.webp?ts=1759348497" ] 1 => array:5 [ "name" => "1-2.jpg" "alt" => null "width" => "1593" "height" => 715 "path" => "/media/fizika_09/gendenshtejn-u/0-labrab2/1-2.webp?ts=1759348497" ] ] ] #original: array:7 [ "id" => 1697075 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1092} "task" => array:2 [ "refs" => "1433911" "type" => "task" ] "text" => "<p><strong>2. Проверка справедливости гипотезы о зависимости средней скорости тела от пройденного пути при равноускоренном движении</strong></p><p><strong><em>Цель работы: </em></strong>проверить справедливость гипотезы: «При равноускоренном движении средняя скорость тела пропорциональна пройденному пути».</p><p><strong><em>Оборудование: </em></strong>металлический или пластмассовый шарик, желоб, секундомер или часы с секундной стрелкой, сантиметровая лента, металлический цилиндр.</p><p><strong>Ход работы</strong></p><p>Задание 1. Измерение средней скорости шарика при разных значениях пройденного им пути.</p><p>• Измерьте длину желоба $l_1$. Результат измерений с указанием погрешности запишите в таблицу в тетради. Ниже приведён заголовок этой таблицы.</p><p>$t_1$, с | $l_1$, м | $t_2$, с | $l_2$, м | $v_{1ср}$, м/с | $v_{2ср}$, м/с</p><p>• Разделите длину желоба на четыре равные части. Измерьте длину одной части $l_2$ и результат измерения с указанием погрешности запишите в таблицу.</p><p>• Подкладывая тетради под один конец желоба, подберите такой угол наклона желоба, чтобы отпущенный без толчка шарик скатывался по нему за $t_1 = 4$ с. На нижнем краю желоба положите металлический цилиндр, чтобы, скатившись по желобу, шарик остался в нём.</p><p>• Положите шарик на верхний край желоба и отпустите без толчка. Измерьте промежуток времени $t_2$, за который шарик проходит первую четверть пути. Результат измерений с указанием погрешностей запишите в таблицу.</p><p>• Средняя скорость определяется формулой $v_{ср} = \frac{l}{t}$. Используя это соотношение, найдите значения средней скорости шарика на всём пути ($v_{1ср}$) и на первой четверти пути ($v_{2ср}$). Запишите результаты (без указания погрешностей) в таблицу.</p>" "img" => array:2 [ 0 => array:5 [ "name" => "1-1.jpg" "alt" => null "width" => "1623" "height" => 1411 "path" => "/media/fizika_09/gendenshtejn-u/0-labrab2/1-1.webp?ts=1759348497" ] 1 => array:5 [ "name" => "1-2.jpg" "alt" => null "width" => "1593" "height" => 715 "path" => "/media/fizika_09/gendenshtejn-u/0-labrab2/1-2.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" => 1781145 "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" => "1433911" "type" => "task" ] "text" => "<strong>Дано:</strong><p>Движение шарика по жёлобу является равноускоренным, без начальной скорости ($v_0 = 0$).</p><p>Время прохождения шариком всей длины жёлоба ($l_1$) составляет $t_1 = 4$ с.</p><p>Длина первой четверти жёлоба составляет $l_2 = \frac{1}{4} l_1$.</p><p>Формула для расчёта средней скорости: $v_{ср} = \frac{l}{t}$.</p><strong>Найти:</strong><p>Значения средней скорости шарика на всём пути ($v_{1ср}$) и на первой четверти пути ($v_{2ср}$), и заполнить таблицу результатов.</p><strong>Решение:</strong><p><strong>Задание 1. Измерение средней скорости шарика при разных значениях пройденного им пути.</strong></p><p>Для выполнения задания проведём мысленный эксперимент и необходимые расчёты, следуя методике, описанной в "Ходе работы".</p><p>Сначала необходимо измерить длину жёлоба $l_1$. Предположим, что измерение с помощью измерительной ленты дало результат $1,200$ м. Погрешность прямого измерения примем равной цене деления ленты, то есть $\Delta l = \pm 0,001$ м. Таким образом, $l_1 = (1,200 \pm 0,001)$ м.</p><p>Далее определим длину первой четверти пути $l_2$. Она вычисляется как $l_2 = \frac{l_1}{4} = \frac{1,200 \text{ м}}{4} = 0,300$ м. Погрешность измерения для этой длины, отмеченной на той же ленте, будет такой же: $\Delta l_2 = \pm 0,001$ м. Таким образом, $l_2 = (0,300 \pm 0,001)$ м.</p><p>По условию, полное время скатывания шарика по жёлобу составляет $t_1 = 4$ с. Поскольку движение равноускоренное и начинается из состояния покоя, пройденный путь $\text{l}$ и время $\text{t}$ связаны соотношением $l = \frac{at^2}{2}$. Из этой формулы следует, что время движения пропорционально квадратному корню из пройденного пути: $t \propto \sqrt{l}$.</p><p>Используя эту зависимость, найдём теоретическое время $t_2$, за которое шарик пройдёт первую четверть пути $l_2 = l_1/4$:</p><p>$\frac{t_2}{t_1} = \sqrt{\frac{l_2}{l_1}} = \sqrt{\frac{l_1/4}{l_1}} = \sqrt{\frac{1}{4}} = \frac{1}{2}$.</p><p>Отсюда, $t_2 = \frac{t_1}{2} = \frac{4 \text{ с}}{2} = 2$ с. Будем считать это значение результатом измерения времени $t_2$. Погрешность измерения времени с помощью секундомера, учитывая время реакции экспериментатора, можно принять равной $\Delta t_2 = \pm 0,1$ с. Таким образом, $t_2 = (2,0 \pm 0,1)$ с.</p><p>На последнем этапе рассчитаем средние скорости, используя формулу $v_{ср} = \frac{l}{t}$.</p><p>Средняя скорость на всём пути $l_1$:</p><p>$v_{1ср} = \frac{l_1}{t_1} = \frac{1,200 \text{ м}}{4 \text{ с}} = 0,30$ м/с.</p><p>Средняя скорость на первой четверти пути $l_2$:</p><p>$v_{2ср} = \frac{l_2}{t_2} = \frac{0,300 \text{ м}}{2,0 \text{ с}} = 0,15$ м/с.</p><p>Все полученные и вычисленные значения занесём в итоговую таблицу.</p><strong>Ответ:</strong><table border="1" style="border-collapse: collapse; width: 100%;"><thead><tr><th style="padding: 8px; text-align: center;">$t_1, \text{с}$</th><th style="padding: 8px; text-align: center;">$l_1, \text{м}$</th><th style="padding: 8px; text-align: center;">$t_2, \text{с}$</th><th style="padding: 8px; text-align: center;">$l_2, \text{м}$</th><th style="padding: 8px; text-align: center;">$v_{1ср}, \text{м/с}$</th><th style="padding: 8px; text-align: center;">$v_{2ср}, \text{м/с}$</th></tr></thead><tbody><tr><td style="padding: 8px; text-align: center;">$\text{4}$</td><td style="padding: 8px; text-align: center;">$1,200 \pm 0,001$</td><td style="padding: 8px; text-align: center;">$2,0 \pm 0,1$</td><td style="padding: 8px; text-align: center;">$0,300 \pm 0,001$</td><td style="padding: 8px; text-align: center;">$0,30$</td><td style="padding: 8px; text-align: center;">$0,15$</td></tr></tbody></table>" ] #original: array:6 [ "id" => 1781145 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1086} "task" => array:2 [ "refs" => "1433911" "type" => "task" ] "text" => "<strong>Дано:</strong><p>Движение шарика по жёлобу является равноускоренным, без начальной скорости ($v_0 = 0$).</p><p>Время прохождения шариком всей длины жёлоба ($l_1$) составляет $t_1 = 4$ с.</p><p>Длина первой четверти жёлоба составляет $l_2 = \frac{1}{4} l_1$.</p><p>Формула для расчёта средней скорости: $v_{ср} = \frac{l}{t}$.</p><strong>Найти:</strong><p>Значения средней скорости шарика на всём пути ($v_{1ср}$) и на первой четверти пути ($v_{2ср}$), и заполнить таблицу результатов.</p><strong>Решение:</strong><p><strong>Задание 1. Измерение средней скорости шарика при разных значениях пройденного им пути.</strong></p><p>Для выполнения задания проведём мысленный эксперимент и необходимые расчёты, следуя методике, описанной в "Ходе работы".</p><p>Сначала необходимо измерить длину жёлоба $l_1$. Предположим, что измерение с помощью измерительной ленты дало результат $1,200$ м. Погрешность прямого измерения примем равной цене деления ленты, то есть $\Delta l = \pm 0,001$ м. Таким образом, $l_1 = (1,200 \pm 0,001)$ м.</p><p>Далее определим длину первой четверти пути $l_2$. Она вычисляется как $l_2 = \frac{l_1}{4} = \frac{1,200 \text{ м}}{4} = 0,300$ м. Погрешность измерения для этой длины, отмеченной на той же ленте, будет такой же: $\Delta l_2 = \pm 0,001$ м. Таким образом, $l_2 = (0,300 \pm 0,001)$ м.</p><p>По условию, полное время скатывания шарика по жёлобу составляет $t_1 = 4$ с. Поскольку движение равноускоренное и начинается из состояния покоя, пройденный путь $\text{l}$ и время $\text{t}$ связаны соотношением $l = \frac{at^2}{2}$. Из этой формулы следует, что время движения пропорционально квадратному корню из пройденного пути: $t \propto \sqrt{l}$.</p><p>Используя эту зависимость, найдём теоретическое время $t_2$, за которое шарик пройдёт первую четверть пути $l_2 = l_1/4$:</p><p>$\frac{t_2}{t_1} = \sqrt{\frac{l_2}{l_1}} = \sqrt{\frac{l_1/4}{l_1}} = \sqrt{\frac{1}{4}} = \frac{1}{2}$.</p><p>Отсюда, $t_2 = \frac{t_1}{2} = \frac{4 \text{ с}}{2} = 2$ с. Будем считать это значение результатом измерения времени $t_2$. Погрешность измерения времени с помощью секундомера, учитывая время реакции экспериментатора, можно принять равной $\Delta t_2 = \pm 0,1$ с. Таким образом, $t_2 = (2,0 \pm 0,1)$ с.</p><p>На последнем этапе рассчитаем средние скорости, используя формулу $v_{ср} = \frac{l}{t}$.</p><p>Средняя скорость на всём пути $l_1$:</p><p>$v_{1ср} = \frac{l_1}{t_1} = \frac{1,200 \text{ м}}{4 \text{ с}} = 0,30$ м/с.</p><p>Средняя скорость на первой четверти пути $l_2$:</p><p>$v_{2ср} = \frac{l_2}{t_2} = \frac{0,300 \text{ м}}{2,0 \text{ с}} = 0,15$ м/с.</p><p>Все полученные и вычисленные значения занесём в итоговую таблицу.</p><strong>Ответ:</strong><table border="1" style="border-collapse: collapse; width: 100%;"><thead><tr><th style="padding: 8px; text-align: center;">$t_1, \text{с}$</th><th style="padding: 8px; text-align: center;">$l_1, \text{м}$</th><th style="padding: 8px; text-align: center;">$t_2, \text{с}$</th><th style="padding: 8px; text-align: center;">$l_2, \text{м}$</th><th style="padding: 8px; text-align: center;">$v_{1ср}, \text{м/с}$</th><th style="padding: 8px; text-align: center;">$v_{2ср}, \text{м/с}$</th></tr></thead><tbody><tr><td style="padding: 8px; text-align: center;">$\text{4}$</td><td style="padding: 8px; text-align: center;">$1,200 \pm 0,001$</td><td style="padding: 8px; text-align: center;">$2,0 \pm 0,1$</td><td style="padding: 8px; text-align: center;">$0,300 \pm 0,001$</td><td style="padding: 8px; text-align: center;">$0,30$</td><td style="padding: 8px; text-align: center;">$0,15$</td></tr></tbody></table>" ] #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" => "1433912" "type" => "task" ] "previous" => array:2 [ "refs" => "1433910" "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" => 1434594 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "195" "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik/page-1-195" "field_display_title" => "195" "field_folder" => "1" "field_image_name" => "195" "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" => 1697317 "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" => "1434594" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "195-1.jpg" "alt" => null "width" => "1938" "height" => 2805 "path" => "/media/fizika_09/gendenshtejn-u/0-1/195-1.webp?ts=1759352734" ] ] ] #original: array:6 [ "id" => 1697317 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1165} "book_page" => array:2 [ "refs" => "1434594" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "195-1.jpg" "alt" => null "width" => "1938" "height" => 2805 "path" => "/media/fizika_09/gendenshtejn-u/0-1/195-1.webp?ts=1759352734" ] ] ] #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" => "1434595" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1434593" "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" => 1433909 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "195" "field_page_end" => null "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik/labrab1-2" "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 {#1396 #items: array:3 [ 0 => App\Models\Branch {#1406 …30} 1 => App\Models\Branch {#1410 …30} 2 => App\Models\Branch {#1414 …30} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1324 #items: array:2 [ 0 => App\Models\Element {#1390 …30} 1 => App\Models\Element {#1387 …30} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1433910" "type" => "task" ] "previous" => array:2 [ "refs" => "1433908" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1392 #items: array:1 [ 0 => App\Models\Book {#1123} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1434594" "type" => "book_page" ] ] #original: array:24 [ "id" => 1433909 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "195" "field_page_end" => null "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik/labrab1-2" "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 {#1396} "content" => Illuminate\Database\Eloquent\Collection {#1324} "next" => array:2 [ "refs" => "1433910" "type" => "task" ] "previous" => array:2 [ "refs" => "1433908" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1392} "page" => array:2 [ "refs" => "1434594" "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 {#1358 #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" => 1433910 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "195" "field_page_end" => null "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik/labrab1-3" "field_display_title" => "Задание 3" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1403 #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 {#1391 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1362 #items: array:1 [ 0 => App\Models\Branch {#1406 …30} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1359 #items: array:3 [ 0 => App\Models\Branch {#1406 …30} 1 => App\Models\Branch {#1410 …30} 2 => App\Models\Branch {#1414 …30} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1394 #items: array:2 [ 0 => App\Models\Element {#1379 …30} 1 => App\Models\Element {#1377 …30} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1433911" "type" => "task" ] "previous" => array:2 [ "refs" => "1433909" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1380 #items: array:1 [ 0 => App\Models\Book {#1123} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1434594" "type" => "book_page" ] ] #original: array:24 [ "id" => 1433910 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "195" "field_page_end" => null "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik/labrab1-3" "field_display_title" => "Задание 3" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1403} "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 {#1391} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1362} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1359} "content" => Illuminate\Database\Eloquent\Collection {#1394} "next" => array:2 [ "refs" => "1433911" "type" => "task" ] "previous" => array:2 [ "refs" => "1433909" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1380} "page" => array:2 [ "refs" => "1434594" "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 {#1386 #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" => 1433911 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "195" "field_page_end" => "196" "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik/labrab2-1" "field_display_title" => "Задание 1" "field_outside_task" => "0" "field_task_type" => Illuminate\Database\Eloquent\Collection {#1363 #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 {#1378 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1383 #items: array:1 [ 0 => App\Models\Branch {#1406 …30} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1385 #items: array:3 [ 0 => App\Models\Branch {#1406 …30} 1 => App\Models\Branch {#1410 …30} 2 => App\Models\Branch {#1160} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1382 #items: array:2 [ 0 => App\Models\Element {#1101} 1 => App\Models\Element {#1094} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1433912" "type" => "task" ] "previous" => array:2 [ "refs" => "1433910" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1384 #items: array:1 [ 0 => App\Models\Book {#1123} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1434594" "type" => "book_page" ] ] #original: array:24 [ "id" => 1433911 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "195" "field_page_end" => "196" "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik/labrab2-1" "field_display_title" => "Задание 1" "field_outside_task" => "0" "field_task_type" => Illuminate\Database\Eloquent\Collection {#1363} "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 {#1378} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1383} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1385} "content" => Illuminate\Database\Eloquent\Collection {#1382} "next" => array:2 [ "refs" => "1433912" "type" => "task" ] "previous" => array:2 [ "refs" => "1433910" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1384} "page" => array:2 [ "refs" => "1434594" "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" => 1434594 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "195" "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik/page-1-195" "field_display_title" => "195" "field_folder" => "1" "field_image_name" => "195" "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" => "1434595" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1434593" "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" => 1433911 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "195" "field_page_end" => "196" "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik/labrab2-1" "field_display_title" => "Задание 1" "field_outside_task" => "0" "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" => "1433912" "type" => "task" ] "previous" => array:2 [ "refs" => "1433910" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1105} "page" => array:2 [ "refs" => "1434594" "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 1 (с. 195)
Условие. Задание 1 (с. 195)
скриншот условия
2. Проверка справедливости гипотезы о зависимости средней скорости тела от пройденного пути при равноускоренном движении
Цель работы: проверить справедливость гипотезы: «При равноускоренном движении средняя скорость тела пропорциональна пройденному пути».
Оборудование: металлический или пластмассовый шарик, желоб, секундомер или часы с секундной стрелкой, сантиметровая лента, металлический цилиндр.
Ход работы
Задание 1. Измерение средней скорости шарика при разных значениях пройденного им пути.
• Измерьте длину желоба $l_1$. Результат измерений с указанием погрешности запишите в таблицу в тетради. Ниже приведён заголовок этой таблицы.
$t_1$, с | $l_1$, м | $t_2$, с | $l_2$, м | $v_{1ср}$, м/с | $v_{2ср}$, м/с
• Разделите длину желоба на четыре равные части. Измерьте длину одной части $l_2$ и результат измерения с указанием погрешности запишите в таблицу.
• Подкладывая тетради под один конец желоба, подберите такой угол наклона желоба, чтобы отпущенный без толчка шарик скатывался по нему за $t_1 = 4$ с. На нижнем краю желоба положите металлический цилиндр, чтобы, скатившись по желобу, шарик остался в нём.
• Положите шарик на верхний край желоба и отпустите без толчка. Измерьте промежуток времени $t_2$, за который шарик проходит первую четверть пути. Результат измерений с указанием погрешностей запишите в таблицу.
• Средняя скорость определяется формулой $v_{ср} = \frac{l}{t}$. Используя это соотношение, найдите значения средней скорости шарика на всём пути ($v_{1ср}$) и на первой четверти пути ($v_{2ср}$). Запишите результаты (без указания погрешностей) в таблицу.
Решение. Задание 1 (с. 195)
Дано:
Движение шарика по жёлобу является равноускоренным, без начальной скорости ($v_0 = 0$).
Время прохождения шариком всей длины жёлоба ($l_1$) составляет $t_1 = 4$ с.
Длина первой четверти жёлоба составляет $l_2 = \frac{1}{4} l_1$.
Формула для расчёта средней скорости: $v_{ср} = \frac{l}{t}$.
Найти:Значения средней скорости шарика на всём пути ($v_{1ср}$) и на первой четверти пути ($v_{2ср}$), и заполнить таблицу результатов.
Решение:Задание 1. Измерение средней скорости шарика при разных значениях пройденного им пути.
Для выполнения задания проведём мысленный эксперимент и необходимые расчёты, следуя методике, описанной в "Ходе работы".
Сначала необходимо измерить длину жёлоба $l_1$. Предположим, что измерение с помощью измерительной ленты дало результат $1,200$ м. Погрешность прямого измерения примем равной цене деления ленты, то есть $\Delta l = \pm 0,001$ м. Таким образом, $l_1 = (1,200 \pm 0,001)$ м.
Далее определим длину первой четверти пути $l_2$. Она вычисляется как $l_2 = \frac{l_1}{4} = \frac{1,200 \text{ м}}{4} = 0,300$ м. Погрешность измерения для этой длины, отмеченной на той же ленте, будет такой же: $\Delta l_2 = \pm 0,001$ м. Таким образом, $l_2 = (0,300 \pm 0,001)$ м.
По условию, полное время скатывания шарика по жёлобу составляет $t_1 = 4$ с. Поскольку движение равноускоренное и начинается из состояния покоя, пройденный путь $\text{l}$ и время $\text{t}$ связаны соотношением $l = \frac{at^2}{2}$. Из этой формулы следует, что время движения пропорционально квадратному корню из пройденного пути: $t \propto \sqrt{l}$.
Используя эту зависимость, найдём теоретическое время $t_2$, за которое шарик пройдёт первую четверть пути $l_2 = l_1/4$:
$\frac{t_2}{t_1} = \sqrt{\frac{l_2}{l_1}} = \sqrt{\frac{l_1/4}{l_1}} = \sqrt{\frac{1}{4}} = \frac{1}{2}$.
Отсюда, $t_2 = \frac{t_1}{2} = \frac{4 \text{ с}}{2} = 2$ с. Будем считать это значение результатом измерения времени $t_2$. Погрешность измерения времени с помощью секундомера, учитывая время реакции экспериментатора, можно принять равной $\Delta t_2 = \pm 0,1$ с. Таким образом, $t_2 = (2,0 \pm 0,1)$ с.
На последнем этапе рассчитаем средние скорости, используя формулу $v_{ср} = \frac{l}{t}$.
Средняя скорость на всём пути $l_1$:
$v_{1ср} = \frac{l_1}{t_1} = \frac{1,200 \text{ м}}{4 \text{ с}} = 0,30$ м/с.
Средняя скорость на первой четверти пути $l_2$:
$v_{2ср} = \frac{l_2}{t_2} = \frac{0,300 \text{ м}}{2,0 \text{ с}} = 0,15$ м/с.
Все полученные и вычисленные значения занесём в итоговую таблицу.
Ответ:| $t_1, \text{с}$ | $l_1, \text{м}$ | $t_2, \text{с}$ | $l_2, \text{м}$ | $v_{1ср}, \text{м/с}$ | $v_{2ср}, \text{м/с}$ |
|---|---|---|---|---|---|
| $\text{4}$ | $1,200 \pm 0,001$ | $2,0 \pm 0,1$ | $0,300 \pm 0,001$ | $0,30$ | $0,15$ |
Другие задания:
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