gdz.top
Номер 80, страница 272 - гдз по физике 8 класс учебник Громов, Родина
Авторы: Громов С. В., Родина Н. А., Белага В. В., Ломаченков И. А., Панебратцев Ю. А.
Тип: Учебник
Серия: классический курс
Издательство: Просвещение
Год издания: 2018 - 2026
Цвет обложки: синий
ISBN: 978-5-09-052825-2
Популярные ГДЗ в 8 классе
Задачи и упражнения - номер 80, страница 272.
App\Models\Task {#1024 // 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" => 1612947 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "272" "field_page_end" => null "field_url" => "/8-klass/fizika/gromov-uchebnik/upr-80" "field_display_title" => "80" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#331 #items: array:1 [ 0 => App\Models\Term {#1029 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 26 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "номер" "field_cases" => array:6 [ "field_accusative_case" => "номер" "field_creative_case" => "номером" "field_dative_case" => "номеру" "field_genitive_case" => "номера" "field_nominative_case" => "номер" "field_prepositional_case" => "номере" ] "field_short_name" => "№" ] #original: array:6 [ "id" => 26 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "номер" "field_cases" => array:6 [ "field_accusative_case" => "номер" "field_creative_case" => "номером" "field_dative_case" => "номеру" "field_genitive_case" => "номера" "field_nominative_case" => "номер" "field_prepositional_case" => "номере" ] "field_short_name" => "№" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1026 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#342 #items: array:1 [ 0 => App\Models\Branch {#1023 #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" => 1612241 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Задачи и упражнения" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#333 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "266" "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 {#1033 #items: array:1 [ 0 => App\Models\Book {#1030 #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" => 3654 "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 {#1032 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_class" => Illuminate\Database\Eloquent\Collection {#1035 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_publisher" => Illuminate\Database\Eloquent\Collection {#1037 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_author" => Illuminate\Database\Eloquent\Collection {#1039 #items: array:5 [ …5] #escapeWhenCastingToString: false } "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1045 #items: [] …1 } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1046 …2} "field_country" => Illuminate\Database\Eloquent\Collection {#1048 …2} "field_city" => Illuminate\Database\Eloquent\Collection {#1050 …2} "field_series" => Illuminate\Database\Eloquent\Collection {#1052 …2} "field_umk" => Illuminate\Database\Eloquent\Collection {#1054 …2} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1055 …2} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1056 …2} "field_publication_number" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1058 …2} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1059 …2} "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2018" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное пособие для общеобразовательных организаций" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "830" "field_priority" => null "field_default_folder" => "/fizika_08/gromov-u/" "field_isbn" => "978-5-09-052825-2" "field_cover" => array:1 [ …1] "field_cover_alts" => array:1 [ …1] "field_covers" => array:1 [ …1] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1060 …2} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1061 …2} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1062 …2} "field_url" => "/8-klass/fizika/gromov-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1063 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ …3] ] #original: array:50 [ "id" => 3654 "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 {#1032} "field_class" => Illuminate\Database\Eloquent\Collection {#1035} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1037} "field_author" => Illuminate\Database\Eloquent\Collection {#1039} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1045 …1} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1046 …2} "field_country" => Illuminate\Database\Eloquent\Collection {#1048 …2} "field_city" => Illuminate\Database\Eloquent\Collection {#1050 …2} "field_series" => Illuminate\Database\Eloquent\Collection {#1052 …2} "field_umk" => Illuminate\Database\Eloquent\Collection {#1054 …2} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1055 …2} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1056 …2} "field_publication_number" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1058 …2} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1059 …2} "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2018" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное пособие для общеобразовательных организаций" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "830" "field_priority" => null "field_default_folder" => "/fizika_08/gromov-u/" "field_isbn" => "978-5-09-052825-2" "field_cover" => array:1 [ …1] "field_cover_alts" => array:1 [ …1] "field_covers" => array:1 [ …1] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1060 …2} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1061 …2} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1062 …2} "field_url" => "/8-klass/fizika/gromov-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1063 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ …3] ] #changes: [] #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 {#1065 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1612241 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Задачи и упражнения" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#333} "field_page_start" => "266" "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 {#1033} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1065} ] #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 {#1066 #items: array:1 [ 0 => App\Models\Branch {#1023} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1067 #items: array:2 [ 0 => App\Models\Element {#1068 #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" => 1850673 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1069 #items: array:1 [ 0 => App\Models\Edition {#1070 #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" => 6892 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1071 …2} "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 {#1073 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1074 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1075 …2} "field_content_source" => null ] #original: array:21 [ "id" => 6892 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1071 …2} "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 {#1073 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1074 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1075 …2} "field_content_source" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "task" => array:2 [ "refs" => "1612947" "type" => "task" ] "text" => "<p><strong>80.</strong> Положительно заряженная пылинка находится в равновесии между двумя горизонтально расположенными металлическими пластинами (рис. 4, а). Как заряжены эти пластины? Изобразите силы, действующие на пылинку. Чему равна действующая на неё электрическая сила, если масса пылинки $10^{-10}$ г?</p>" "img" => array:1 [ 0 => array:5 [ "name" => "80-1.jpg" "alt" => null "width" => "1293" "height" => 467 "path" => "/media/fizika_08/gromov-u/0-upr/80-1.webp?ts=1763478091" ] ] ] #original: array:7 [ "id" => 1850673 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1069} "task" => array:2 [ "refs" => "1612947" "type" => "task" ] "text" => "<p><strong>80.</strong> Положительно заряженная пылинка находится в равновесии между двумя горизонтально расположенными металлическими пластинами (рис. 4, а). Как заряжены эти пластины? Изобразите силы, действующие на пылинку. Чему равна действующая на неё электрическая сила, если масса пылинки $10^{-10}$ г?</p>" "img" => array:1 [ 0 => array:5 [ "name" => "80-1.jpg" "alt" => null "width" => "1293" "height" => 467 "path" => "/media/fizika_08/gromov-u/0-upr/80-1.webp?ts=1763478091" ] ] ] #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 {#1076 #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" => 1900734 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1077 #items: array:1 [ 0 => App\Models\Edition {#1078 #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" => 7854 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1079 …2} "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 {#1081 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1082 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1083 …2} "field_content_source" => null ] #original: array:21 [ "id" => 7854 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1079 …2} "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 {#1081 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1082 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1083 …2} "field_content_source" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "task" => array:2 [ "refs" => "1612947" "type" => "task" ] "text" => "<p><strong>Как заряжены эти пластины?</strong></p><p>На положительно заряженную пылинку действуют две основные силы: сила тяжести, направленная вертикально вниз, и электрическая сила со стороны пластин. Поскольку пылинка находится в равновесии, эти силы должны уравновешивать друг друга. Следовательно, электрическая сила должна быть направлена вертикально вверх, против силы тяжести. Направление электрической силы, действующей на положительный заряд, совпадает с направлением вектора напряженности электрического поля $ \vec{E} $. Значит, электрическое поле между пластинами направлено вверх. Так как силовые линии электрического поля направлены от положительного заряда к отрицательному, нижняя пластина должна быть заряжена положительно, а верхняя — отрицательно.</p><p><strong>Ответ:</strong> нижняя пластина заряжена положительно, а верхняя — отрицательно.</p><p><strong>Силы, действующие на пылинку</strong></p><p>На пылинку действуют две силы:<br>1. Сила тяжести $ \vec{F_т} $, направленная вертикально вниз.<br>2. Электрическая сила $ \vec{F_э} $, направленная вертикально вверх.<br>Условие равновесия пылинки означает, что векторная сумма этих сил равна нулю: $ \vec{F_т} + \vec{F_э} = 0 $. В проекции на вертикальную ось это означает, что модули сил равны: $ F_т = F_э $.</p><p><strong>Ответ:</strong> на пылинку действуют направленная вниз сила тяжести и равная ей по модулю, но направленная вверх электрическая сила.</p><p><strong>Чему равна действующая на неё электрическая сила</strong></p><p><strong>Дано:</strong></p><p>$ m = 10^{-10} $ г<br>$ g \approx 9,8 $ Н/кг</p><p>$ m = 10^{-10} \text{ г} = 10^{-10} \cdot 10^{-3} \text{ кг} = 10^{-13} \text{ кг} $</p><p><strong>Найти:</strong></p><p>$ F_э $ - ?</p><p><strong>Решение:</strong></p><p>Как было установлено, из условия равновесия следует, что модуль электрической силы $ F_э $ равен модулю силы тяжести $ F_т $:<br>$ F_э = F_т $<br>Сила тяжести вычисляется по формуле:<br>$ F_т = m \cdot g $<br>Подставим числовые значения:<br>$ F_э = 10^{-13} \text{ кг} \cdot 9,8 \text{ Н/кг} = 9,8 \cdot 10^{-13} \text{ Н} $</p><p><strong>Ответ:</strong> $ 9,8 \cdot 10^{-13} $ Н.</p>" ] #original: array:6 [ "id" => 1900734 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1077} "task" => array:2 [ "refs" => "1612947" "type" => "task" ] "text" => "<p><strong>Как заряжены эти пластины?</strong></p><p>На положительно заряженную пылинку действуют две основные силы: сила тяжести, направленная вертикально вниз, и электрическая сила со стороны пластин. Поскольку пылинка находится в равновесии, эти силы должны уравновешивать друг друга. Следовательно, электрическая сила должна быть направлена вертикально вверх, против силы тяжести. Направление электрической силы, действующей на положительный заряд, совпадает с направлением вектора напряженности электрического поля $ \vec{E} $. Значит, электрическое поле между пластинами направлено вверх. Так как силовые линии электрического поля направлены от положительного заряда к отрицательному, нижняя пластина должна быть заряжена положительно, а верхняя — отрицательно.</p><p><strong>Ответ:</strong> нижняя пластина заряжена положительно, а верхняя — отрицательно.</p><p><strong>Силы, действующие на пылинку</strong></p><p>На пылинку действуют две силы:<br>1. Сила тяжести $ \vec{F_т} $, направленная вертикально вниз.<br>2. Электрическая сила $ \vec{F_э} $, направленная вертикально вверх.<br>Условие равновесия пылинки означает, что векторная сумма этих сил равна нулю: $ \vec{F_т} + \vec{F_э} = 0 $. В проекции на вертикальную ось это означает, что модули сил равны: $ F_т = F_э $.</p><p><strong>Ответ:</strong> на пылинку действуют направленная вниз сила тяжести и равная ей по модулю, но направленная вверх электрическая сила.</p><p><strong>Чему равна действующая на неё электрическая сила</strong></p><p><strong>Дано:</strong></p><p>$ m = 10^{-10} $ г<br>$ g \approx 9,8 $ Н/кг</p><p>$ m = 10^{-10} \text{ г} = 10^{-10} \cdot 10^{-3} \text{ кг} = 10^{-13} \text{ кг} $</p><p><strong>Найти:</strong></p><p>$ F_э $ - ?</p><p><strong>Решение:</strong></p><p>Как было установлено, из условия равновесия следует, что модуль электрической силы $ F_э $ равен модулю силы тяжести $ F_т $:<br>$ F_э = F_т $<br>Сила тяжести вычисляется по формуле:<br>$ F_т = m \cdot g $<br>Подставим числовые значения:<br>$ F_э = 10^{-13} \text{ кг} \cdot 9,8 \text{ Н/кг} = 9,8 \cdot 10^{-13} \text{ Н} $</p><p><strong>Ответ:</strong> $ 9,8 \cdot 10^{-13} $ Н.</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" => "1612948" "type" => "task" ] "previous" => array:2 [ "refs" => "1612946" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1084 #items: array:1 [ 0 => App\Models\Book {#1085 #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" => 3654 "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 {#1086 #items: array:1 [ 0 => App\Models\Term {#1087 #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 [ …6] "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 [ …6] "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 {#1088 #items: array:1 [ 0 => App\Models\Term {#1089 #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" => 5457 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "8" "field_cases" => array:6 [ …6] "field_translit" => "vosmoj" ] #original: array:6 [ "id" => 5457 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "8" "field_cases" => array:6 [ …6] "field_translit" => "vosmoj" ] #changes: [] #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 {#1090 #items: array:1 [ 0 => App\Models\Term {#1091 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 5153 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Просвещение" "field_cases" => null "field_translit" => "prosveschenie" ] #original: array:6 [ "id" => 5153 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Просвещение" "field_cases" => null "field_translit" => "prosveschenie" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_author" => Illuminate\Database\Eloquent\Collection {#1092 #items: array:5 [ 0 => App\Models\Term {#1093 #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" => 4194 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Громов" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Сергей" "field_patronymic" => "Васильевич" "field_surname_rp" => null ] #original: array:12 [ "id" => 4194 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Громов" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Сергей" "field_patronymic" => "Васильевич" "field_surname_rp" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Term {#1094 #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" => 5604 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Родина" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Надежда" "field_patronymic" => "Александровна" "field_surname_rp" => null ] #original: array:12 [ "id" => 5604 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Родина" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Надежда" "field_patronymic" => "Александровна" "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 {#1095 #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" => 3824 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Белага" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Виктория" "field_patronymic" => "Владимировна" "field_surname_rp" => null ] #original: array:12 [ "id" => 3824 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Белага" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Виктория" "field_patronymic" => "Владимировна" "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 {#1096 #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" => 5014 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Ломаченков" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Иван" "field_patronymic" => "Алексеевич" "field_surname_rp" => null ] #original: array:12 [ "id" => 5014 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Ломаченков" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Иван" "field_patronymic" => "Алексеевич" "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 => "*" ] } 4 => App\Models\Term {#1097 #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" => 5412 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Панебратцев" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Юрий" "field_patronymic" => "Анатольевич" "field_surname_rp" => "Панебратцева" ] #original: array:12 [ "id" => 5412 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Панебратцев" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Юрий" "field_patronymic" => "Анатольевич" "field_surname_rp" => "Панебратцева" ] #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 {#1098 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1099 #items: array:1 [ 0 => App\Models\Term {#1100 #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 [ …6] "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 [ …6] "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 {#1101 #items: array:1 [ 0 => App\Models\Term {#1102 #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 [ …6] "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 [ …6] "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 {#1103 #items: array:1 [ 0 => App\Models\Term {#1104 #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 [ …6] "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 [ …6] "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 {#1105 #items: array:1 [ 0 => App\Models\Term {#1106 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:8 [ "id" => 4718 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "классический курс" "field_cases" => null "field_foreign_lang_series" => null "field_transcription_eng" => null "field_translit" => "klassicheskiy kurs" ] #original: array:8 [ "id" => 4718 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "классический курс" "field_cases" => null "field_foreign_lang_series" => null "field_transcription_eng" => null "field_translit" => "klassicheskiy kurs" ] #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_umk" => Illuminate\Database\Eloquent\Collection {#1107 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1108 #items: [] #escapeWhenCastingToString: false } "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1109 #items: array:1 [ 0 => App\Models\Term {#1110 #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" => 6706 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "ФГОС (старый)" "field_cases" => array:6 [ …6] "field_color" => null "field_end_year" => "2022" "field_start_year" => "2019" "field_translit" => "fgos-old" "field_type" => null ] #original: array:10 [ "id" => 6706 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "ФГОС (старый)" "field_cases" => array:6 [ …6] "field_color" => null "field_end_year" => "2022" "field_start_year" => "2019" "field_translit" => "fgos-old" "field_type" => 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_publication_number" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1111 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1112 #items: array:1 [ 0 => App\Models\Term {#1097} ] #escapeWhenCastingToString: false } "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2018" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное пособие для общеобразовательных организаций" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "830" "field_priority" => null "field_default_folder" => "/fizika_08/gromov-u/" "field_isbn" => "978-5-09-052825-2" "field_cover" => array:1 [ 0 => "/media/fizika_08/gromov-u/covers/cover1.webp?ts=1763397517" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_08/gromov-u/covers/cover1.webp?ts=1763397517" "alt" => "" "width" => "1881" "height" => "2469" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1113 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1114 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1115 #items: [] #escapeWhenCastingToString: false } "field_url" => "/8-klass/fizika/gromov-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1116 #items: array:1 [ 0 => App\Models\Term {#1117 #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" => 49 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "синий" "field_cases" => array:6 [ …6] "field_translit" => "siniy" ] #original: array:6 [ "id" => 49 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "синий" "field_cases" => array:6 [ …6] "field_translit" => "siniy" ] #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" => 379 "subject" => 556 "class_subject" => 492 ] ] #original: array:50 [ "id" => 3654 "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 {#1086} "field_class" => Illuminate\Database\Eloquent\Collection {#1088} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1090} "field_author" => Illuminate\Database\Eloquent\Collection {#1092} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1098} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1099} "field_country" => Illuminate\Database\Eloquent\Collection {#1101} "field_city" => Illuminate\Database\Eloquent\Collection {#1103} "field_series" => Illuminate\Database\Eloquent\Collection {#1105} "field_umk" => Illuminate\Database\Eloquent\Collection {#1107} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1108} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1109} "field_publication_number" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1111} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1112} "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2018" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное пособие для общеобразовательных организаций" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "830" "field_priority" => null "field_default_folder" => "/fizika_08/gromov-u/" "field_isbn" => "978-5-09-052825-2" "field_cover" => array:1 [ 0 => "/media/fizika_08/gromov-u/covers/cover1.webp?ts=1763397517" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_08/gromov-u/covers/cover1.webp?ts=1763397517" "alt" => "" "width" => "1881" "height" => "2469" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1113} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1114} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1115} "field_url" => "/8-klass/fizika/gromov-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1116} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 379 "subject" => 556 "class_subject" => 492 ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "page" => Illuminate\Database\Eloquent\Collection {#1315 #items: array:1 [ 0 => App\Models\BookPage {#1121 #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" => 1613345 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "272" "field_url" => "/8-klass/fizika/gromov-uchebnik/page-272" "field_display_title" => "272" "field_folder" => "1" "field_image_name" => "272" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1125 #items: [] #escapeWhenCastingToString: false } "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1120 #items: array:1 [ 0 => App\Models\Book {#1126 #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" => 3654 "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 {#1127 …2} "field_class" => Illuminate\Database\Eloquent\Collection {#1129 …2} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1131 …2} "field_author" => Illuminate\Database\Eloquent\Collection {#1133 …2} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1139 …2} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1140 …2} "field_country" => Illuminate\Database\Eloquent\Collection {#1142 …2} "field_city" => Illuminate\Database\Eloquent\Collection {#1144 …2} "field_series" => Illuminate\Database\Eloquent\Collection {#1146 …2} "field_umk" => Illuminate\Database\Eloquent\Collection {#1148 …2} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1149 …2} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1150 …2} "field_publication_number" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1152 …2} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1153 …2} "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2018" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное пособие для общеобразовательных организаций" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "830" "field_priority" => null "field_default_folder" => "/fizika_08/gromov-u/" "field_isbn" => "978-5-09-052825-2" "field_cover" => array:1 [ …1] "field_cover_alts" => array:1 [ …1] "field_covers" => array:1 [ …1] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1154 …2} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1155 …2} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1156 …2} "field_url" => "/8-klass/fizika/gromov-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1157 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ …3] ] #original: array:50 [ "id" => 3654 "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 {#1127 …2} "field_class" => Illuminate\Database\Eloquent\Collection {#1129 …2} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1131 …2} "field_author" => Illuminate\Database\Eloquent\Collection {#1133 …2} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1139 …2} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1140 …2} "field_country" => Illuminate\Database\Eloquent\Collection {#1142 …2} "field_city" => Illuminate\Database\Eloquent\Collection {#1144 …2} "field_series" => Illuminate\Database\Eloquent\Collection {#1146 …2} "field_umk" => Illuminate\Database\Eloquent\Collection {#1148 …2} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1149 …2} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1150 …2} "field_publication_number" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1152 …2} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1153 …2} "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2018" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное пособие для общеобразовательных организаций" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "830" "field_priority" => null "field_default_folder" => "/fizika_08/gromov-u/" "field_isbn" => "978-5-09-052825-2" "field_cover" => array:1 [ …1] "field_cover_alts" => array:1 [ …1] "field_covers" => array:1 [ …1] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1154 …2} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1155 …2} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1156 …2} "field_url" => "/8-klass/fizika/gromov-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1157 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ …3] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "edition_groups" => Illuminate\Database\Eloquent\Collection {#1159 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1160 #items: array:1 [ 0 => App\Models\Element {#1161 #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" => 1851056 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1162 …2} "book_page" => array:2 [ …2] "img" => array:1 [ …1] ] #original: array:6 [ "id" => 1851056 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1162 …2} "book_page" => array:2 [ …2] "img" => array:1 [ …1] ] #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" => "1613346" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1613344" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1169 #items: array:9 [ 0 => App\Models\Task {#1170 #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" => 1612940 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "272" "field_page_end" => null "field_url" => "/8-klass/fizika/gromov-uchebnik/upr-73" "field_display_title" => "73" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1171 …2} "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 {#1173 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1174 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1212 …2} "content" => Illuminate\Database\Eloquent\Collection {#1213 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1224 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1612940 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "272" "field_page_end" => null "field_url" => "/8-klass/fizika/gromov-uchebnik/upr-73" "field_display_title" => "73" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1171 …2} "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 {#1173 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1174 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1212 …2} "content" => Illuminate\Database\Eloquent\Collection {#1213 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1224 …2} "page" => array:2 [ …2] ] #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 {#1225 #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" => 1612941 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "272" "field_page_end" => null "field_url" => "/8-klass/fizika/gromov-uchebnik/upr-74" "field_display_title" => "74" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1226 …2} "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 {#1227 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1228 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1229 …2} "content" => Illuminate\Database\Eloquent\Collection {#1230 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1235 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1612941 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "272" "field_page_end" => null "field_url" => "/8-klass/fizika/gromov-uchebnik/upr-74" "field_display_title" => "74" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1226 …2} "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 {#1227 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1228 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1229 …2} "content" => Illuminate\Database\Eloquent\Collection {#1230 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1235 …2} "page" => array:2 [ …2] ] #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 {#1236 #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" => 1612942 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "272" "field_page_end" => null "field_url" => "/8-klass/fizika/gromov-uchebnik/upr-75" "field_display_title" => "75" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1237 …2} "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 {#1238 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1239 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1240 …2} "content" => Illuminate\Database\Eloquent\Collection {#1241 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1246 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1612942 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "272" "field_page_end" => null "field_url" => "/8-klass/fizika/gromov-uchebnik/upr-75" "field_display_title" => "75" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1237 …2} "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 {#1238 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1239 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1240 …2} "content" => Illuminate\Database\Eloquent\Collection {#1241 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1246 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 3 => App\Models\Task {#1247 #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" => 1612943 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "272" "field_page_end" => null "field_url" => "/8-klass/fizika/gromov-uchebnik/upr-76" "field_display_title" => "76" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1248 …2} "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 {#1249 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1250 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1251 …2} "content" => Illuminate\Database\Eloquent\Collection {#1252 …2} "next" => array:2 [ …2] 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Illuminate\Database\Eloquent\Collection {#1257 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 4 => App\Models\Task {#1258 #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" => 1612944 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "272" "field_page_end" => null "field_url" => "/8-klass/fizika/gromov-uchebnik/upr-77" "field_display_title" => "77" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1259 …2} "field_metatags_title" => null 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=> null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1260 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1261 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1262 …2} "content" => Illuminate\Database\Eloquent\Collection {#1263 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1268 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 5 => App\Models\Task {#1269 #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" => 1612945 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "272" "field_page_end" => null "field_url" => "/8-klass/fizika/gromov-uchebnik/upr-78" "field_display_title" => "78" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1270 …2} "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 {#1271 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1272 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1273 …2} "content" => Illuminate\Database\Eloquent\Collection {#1274 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1279 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1612945 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "272" "field_page_end" => null "field_url" => "/8-klass/fizika/gromov-uchebnik/upr-78" "field_display_title" => "78" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1270 …2} "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 {#1271 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1272 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1273 …2} "content" => Illuminate\Database\Eloquent\Collection {#1274 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1279 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 6 => App\Models\Task {#1280 #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" => 1612946 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "272" "field_page_end" => null "field_url" => "/8-klass/fizika/gromov-uchebnik/upr-79" "field_display_title" => "79" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1281 …2} "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 {#1282 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1283 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1284 …2} "content" => Illuminate\Database\Eloquent\Collection {#1285 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1290 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1612946 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "272" "field_page_end" => null "field_url" => "/8-klass/fizika/gromov-uchebnik/upr-79" "field_display_title" => "79" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1281 …2} "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 {#1282 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1283 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1284 …2} "content" => Illuminate\Database\Eloquent\Collection {#1285 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1290 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 7 => 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" => 1612947 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "272" "field_page_end" => null "field_url" => "/8-klass/fizika/gromov-uchebnik/upr-80" "field_display_title" => "80" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1292 …2} "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 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1294 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1295 …2} "content" => Illuminate\Database\Eloquent\Collection {#1296 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1301 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1612947 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#appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 8 => App\Models\Task {#1302 #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" => 1612948 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "272" "field_page_end" => null "field_url" => "/8-klass/fizika/gromov-uchebnik/upr-81" "field_display_title" => "81" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1303 …2} "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 {#1304 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1305 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1306 …2} "content" => Illuminate\Database\Eloquent\Collection {#1307 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1312 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1612948 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "272" "field_page_end" => null "field_url" => "/8-klass/fizika/gromov-uchebnik/upr-81" "field_display_title" => "81" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1303 …2} "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 {#1304 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1305 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1306 …2} "content" => Illuminate\Database\Eloquent\Collection {#1307 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1312 …2} "page" => array:2 [ …2] ] #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" => 1613345 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "272" "field_url" => "/8-klass/fizika/gromov-uchebnik/page-272" "field_display_title" => "272" "field_folder" => "1" "field_image_name" => "272" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1125} "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1120} "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 {#1159} "content" => Illuminate\Database\Eloquent\Collection {#1160} "next" => array:2 [ "refs" => "1613346" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1613344" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1169} ] #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" => 1612947 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "272" "field_page_end" => null "field_url" => "/8-klass/fizika/gromov-uchebnik/upr-80" "field_display_title" => "80" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#331} "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 {#1026} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#342} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1066} "content" => Illuminate\Database\Eloquent\Collection {#1067} "next" => array:2 [ "refs" => "1612948" "type" => "task" ] "previous" => array:2 [ "refs" => "1612946" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1084} "page" => array:2 [ "refs" => "1613345" "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 => "*" ] }
№80 (с. 272)
Условие. №80 (с. 272)
скриншот условия
80. Положительно заряженная пылинка находится в равновесии между двумя горизонтально расположенными металлическими пластинами (рис. 4, а). Как заряжены эти пластины? Изобразите силы, действующие на пылинку. Чему равна действующая на неё электрическая сила, если масса пылинки $10^{-10}$ г?
Решение. №80 (с. 272)
Как заряжены эти пластины?
На положительно заряженную пылинку действуют две основные силы: сила тяжести, направленная вертикально вниз, и электрическая сила со стороны пластин. Поскольку пылинка находится в равновесии, эти силы должны уравновешивать друг друга. Следовательно, электрическая сила должна быть направлена вертикально вверх, против силы тяжести. Направление электрической силы, действующей на положительный заряд, совпадает с направлением вектора напряженности электрического поля $ \vec{E} $. Значит, электрическое поле между пластинами направлено вверх. Так как силовые линии электрического поля направлены от положительного заряда к отрицательному, нижняя пластина должна быть заряжена положительно, а верхняя — отрицательно.
Ответ: нижняя пластина заряжена положительно, а верхняя — отрицательно.
Силы, действующие на пылинку
На пылинку действуют две силы:
1. Сила тяжести $ \vec{F_т} $, направленная вертикально вниз.
2. Электрическая сила $ \vec{F_э} $, направленная вертикально вверх.
Условие равновесия пылинки означает, что векторная сумма этих сил равна нулю: $ \vec{F_т} + \vec{F_э} = 0 $. В проекции на вертикальную ось это означает, что модули сил равны: $ F_т = F_э $.
Ответ: на пылинку действуют направленная вниз сила тяжести и равная ей по модулю, но направленная вверх электрическая сила.
Чему равна действующая на неё электрическая сила
Дано:
$ m = 10^{-10} $ г
$ g \approx 9,8 $ Н/кг
$ m = 10^{-10} \text{ г} = 10^{-10} \cdot 10^{-3} \text{ кг} = 10^{-13} \text{ кг} $
Найти:
$ F_э $ - ?
Решение:
Как было установлено, из условия равновесия следует, что модуль электрической силы $ F_э $ равен модулю силы тяжести $ F_т $:
$ F_э = F_т $
Сила тяжести вычисляется по формуле:
$ F_т = m \cdot g $
Подставим числовые значения:
$ F_э = 10^{-13} \text{ кг} \cdot 9,8 \text{ Н/кг} = 9,8 \cdot 10^{-13} \text{ Н} $
Ответ: $ 9,8 \cdot 10^{-13} $ Н.
Другие задания:
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ПрисоединитьсяМы подготовили для вас ответ c подробным объяснением домашего задания по физике за 8 класс, для упражнения номер 80 расположенного на странице 272 к учебнику серии классический курс 2018 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 №80 (с. 272), авторов: Громов (Сергей Васильевич), Родина (Надежда Александровна), Белага (Виктория Владимировна), Ломаченков (Иван Алексеевич), Панебратцев (Юрий Анатольевич), ФГОС (старый) учебного пособия издательства Просвещение.