gdz.top
Номер 8.10, страница 40 - гдз по физике 8 класс задачник Артеменков, Ломаченков
Авторы: Артеменков Д. А., Ломаченков И. А., Панебратцев Ю. А.
Тип: Задачник
Серия: сферы
Издательство: Просвещение
Год издания: 2010 - 2026
Цвет обложки: фиолетовый
ISBN: 978-5-09-046040-8
Популярные ГДЗ в 8 классе
VIII. Основы кинематики - номер 8.10, страница 40.
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" => 1460306 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "40" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-10" "field_display_title" => "8.10" "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" => 1460051 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "VIII. Основы кинематики" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#333 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "39" "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" => 1646 "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 [ 0 => App\Models\Term {#1034 #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 {#1035 #items: array:1 [ 0 => App\Models\Term {#1036 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 5457 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "8" "field_cases" => array:6 [ "field_accusative_case" => "восьмой" "field_creative_case" => "восьмым" "field_dative_case" => "восьмому" "field_genitive_case" => "восьмого" "field_nominative_case" => "восьмой" "field_prepositional_case" => "восьмом" ] "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 [ "field_accusative_case" => "восьмой" "field_creative_case" => "восьмым" "field_dative_case" => "восьмому" "field_genitive_case" => "восьмого" "field_nominative_case" => "восьмой" "field_prepositional_case" => "восьмом" ] "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 {#1037 #items: array:1 [ 0 => App\Models\Term {#1038 #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 {#1039 #items: array:3 [ 0 => App\Models\Term {#1040 #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" => 3745 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Артеменков" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Денис" "field_patronymic" => "Александрович" "field_surname_rp" => null ] #original: array:12 [ "id" => 3745 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Артеменков" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Денис" "field_patronymic" => "Александрович" "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 {#1041 #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 => "*" ] } 2 => App\Models\Term {#1042 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array: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 {#1043 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1044 #items: array:1 [ 0 => App\Models\Term {#1045 #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" => 6518 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Задачник" "field_book_type_foreign" => null "field_cases" => array:6 [ "field_accusative_case" => "задачник" "field_creative_case" => "задачником" "field_dative_case" => "задачнику" "field_genitive_case" => "задачника" "field_nominative_case" => "задачник" "field_prepositional_case" => "задачнике" ] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "zadachnik" ] #original: array:10 [ "id" => 6518 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Задачник" "field_book_type_foreign" => null "field_cases" => array:6 [ "field_accusative_case" => "задачник" "field_creative_case" => "задачником" "field_dative_case" => "задачнику" "field_genitive_case" => "задачника" "field_nominative_case" => "задачник" "field_prepositional_case" => "задачнике" ] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "zadachnik" ] #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 {#1046 #items: array:1 [ 0 => App\Models\Term {#1047 #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 {#1048 #items: array:1 [ 0 => App\Models\Term {#1049 #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 {#1050 #items: array:1 [ 0 => App\Models\Term {#1051 #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" => 4795 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "сферы" "field_cases" => null "field_foreign_lang_series" => null "field_transcription_eng" => null "field_translit" => "sfery" ] #original: array:8 [ "id" => 4795 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "сферы" "field_cases" => null "field_foreign_lang_series" => null "field_transcription_eng" => null "field_translit" => "sfery" ] #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 {#1052 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1053 #items: [] #escapeWhenCastingToString: false } "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1054 #items: [] #escapeWhenCastingToString: false } "field_publication_number" => "5" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1055 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1056 #items: array:1 [ 0 => App\Models\Term {#1042} ] #escapeWhenCastingToString: false } "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2010" "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" => "308" "field_priority" => null "field_default_folder" => "/fizika_08/artemenkov-zd/" "field_isbn" => "978-5-09-046040-8" "field_cover" => array:1 [ 0 => "/media/fizika_08/artemenkov-zd/covers/cover1.webp?ts=1760136860" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_08/artemenkov-zd/covers/cover1.webp?ts=1760136860" "alt" => "" "width" => "1891" "height" => "2427" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1057 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1058 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1059 #items: [] #escapeWhenCastingToString: false } "field_url" => "/8-klass/fizika/artemenkov-zadachnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1060 #items: array:1 [ 0 => App\Models\Term {#1061 #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" => 48 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "фиолетовый" "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" => "fioletovyy" ] #original: array:6 [ "id" => 48 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "фиолетовый" "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" => "fioletovyy" ] #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" => 1646 "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 {#1043} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1044} "field_country" => Illuminate\Database\Eloquent\Collection {#1046} "field_city" => Illuminate\Database\Eloquent\Collection {#1048} "field_series" => Illuminate\Database\Eloquent\Collection {#1050} "field_umk" => Illuminate\Database\Eloquent\Collection {#1052} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1053} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1054} "field_publication_number" => "5" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1055} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1056} "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2010" "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" => "308" "field_priority" => null "field_default_folder" => "/fizika_08/artemenkov-zd/" "field_isbn" => "978-5-09-046040-8" "field_cover" => array:1 [ 0 => "/media/fizika_08/artemenkov-zd/covers/cover1.webp?ts=1760136860" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_08/artemenkov-zd/covers/cover1.webp?ts=1760136860" "alt" => "" "width" => "1891" "height" => "2427" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1057} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1058} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1059} "field_url" => "/8-klass/fizika/artemenkov-zadachnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1060} "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 } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1062 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1460051 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "VIII. Основы кинематики" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#333} "field_page_start" => "39" "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 {#1062} ] #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 {#1063 #items: array:1 [ 0 => App\Models\Branch {#1023} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1064 #items: array:2 [ 0 => App\Models\Element {#1065 #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" => 1753804 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1066 #items: array:1 [ 0 => App\Models\Edition {#1067 #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" => 6390 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1068 #items: array:1 [ 0 => App\Models\Term {#1069 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ …6] #original: array:6 [ …6] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } ] #escapeWhenCastingToString: false } "field_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 {#1070 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1071 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1072 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 6390 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1068} "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 {#1070} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1071} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1072} "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" => "1460306" "type" => "task" ] "text" => "<p><strong>8.10</strong> Определите модули векторов перемещений, приведённых на рисунке 29.</p><p>Рис. 29</p>" "img" => array:2 [ 0 => array:5 [ "name" => "10-1.jpg" "alt" => null "width" => "1751" "height" => 217 "path" => "/media/fizika_08/artemenkov-zd/0-08/10-1.webp?ts=1760701788" ] 1 => array:5 [ "name" => "10-2.jpg" "alt" => null "width" => "809" "height" => 727 "path" => "/media/fizika_08/artemenkov-zd/0-08/10-2.webp?ts=1760701788" ] ] ] #original: array:7 [ "id" => 1753804 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1066} "task" => array:2 [ "refs" => "1460306" "type" => "task" ] "text" => "<p><strong>8.10</strong> Определите модули векторов перемещений, приведённых на рисунке 29.</p><p>Рис. 29</p>" "img" => array:2 [ 0 => array:5 [ "name" => "10-1.jpg" "alt" => null "width" => "1751" "height" => 217 "path" => "/media/fizika_08/artemenkov-zd/0-08/10-1.webp?ts=1760701788" ] 1 => array:5 [ "name" => "10-2.jpg" "alt" => null "width" => "809" "height" => 727 "path" => "/media/fizika_08/artemenkov-zd/0-08/10-2.webp?ts=1760701788" ] ] ] #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 {#1073 #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" => 1821911 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1074 #items: array:1 [ 0 => App\Models\Edition {#1075 #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" => 6688 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1076 #items: array:1 [ 0 => App\Models\Term {#1077 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ …6] #original: array:6 [ …6] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } ] #escapeWhenCastingToString: false } "field_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 {#1078 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1079 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1080 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 6688 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1076} "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 {#1078} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1079} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1080} "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" => "1460306" "type" => "task" ] "text" => "<p><strong>Дано:</strong></p><p>Графическое представление векторов перемещений $\vec{s_1}, \vec{s_2}, \vec{s_3}, \vec{s_4}, \vec{s_5}, \vec{s_6}$ в системе координат XY. Масштаб координатной сетки: 1 клетка = 1 м.</p><p>Все данные представлены в системе СИ (метры), поэтому перевод не требуется.</p><p><strong>Найти:</strong></p><p>Модули векторов перемещений: $|\vec{s_1}|, |\vec{s_2}|, |\vec{s_3}|, |\vec{s_4}|, |\vec{s_5}|, |\vec{s_6}|$.</p><p><strong>Решение:</strong></p><p>Модуль вектора перемещения $\vec{s}$ с проекциями на оси координат $s_x$ и $s_y$ находится по теореме Пифагора:</p><p>$|\vec{s}| = \sqrt{s_x^2 + s_y^2}$</p><p>Проекции векторов на оси X и Y определим по рисунку, учитывая, что длина одной клетки сетки равна 1 м. Проекция вектора — это разность координат его конца и начала по соответствующей оси.</p><p><strong>Модуль вектора $\vec{s_1}$</strong></p><p>Проекции вектора на оси: $s_{1x} = 5 \text{ м} - 1 \text{ м} = 4 \text{ м}$, $s_{1y} = 3 \text{ м} - 3 \text{ м} = 0 \text{ м}$.</p><p>Модуль вектора: $|\vec{s_1}| = \sqrt{4^2 + 0^2} = \sqrt{16} = 4$ м.</p><p><strong>Ответ:</strong> $|\vec{s_1}| = 4$ м.</p><p><strong>Модуль вектора $\vec{s_2}$</strong></p><p>Проекции вектора на оси: $s_{2x} = 2 \text{ м} - 2 \text{ м} = 0 \text{ м}$, $s_{2y} = 9 \text{ м} - 5 \text{ м} = 4 \text{ м}$.</p><p>Модуль вектора: $|\vec{s_2}| = \sqrt{0^2 + 4^2} = \sqrt{16} = 4$ м.</p><p><strong>Ответ:</strong> $|\vec{s_2}| = 4$ м.</p><p><strong>Модуль вектора $\vec{s_3}$</strong></p><p>Проекции вектора на оси: $s_{3x} = 6 \text{ м} - 4 \text{ м} = 2 \text{ м}$, $s_{3y} = 9 \text{ м} - 8 \text{ м} = 1 \text{ м}$.</p><p>Модуль вектора: $|\vec{s_3}| = \sqrt{2^2 + 1^2} = \sqrt{4 + 1} = \sqrt{5}$ м.</p><p><strong>Ответ:</strong> $|\vec{s_3}| = \sqrt{5}$ м $\approx 2.24$ м.</p><p><strong>Модуль вектора $\vec{s_4}$</strong></p><p>Проекции вектора на оси: $s_{4x} = 8 \text{ м} - 5 \text{ м} = 3 \text{ м}$, $s_{4y} = 7 \text{ м} - 5 \text{ м} = 2 \text{ м}$.</p><p>Модуль вектора: $|\vec{s_4}| = \sqrt{3^2 + 2^2} = \sqrt{9 + 4} = \sqrt{13}$ м.</p><p><strong>Ответ:</strong> $|\vec{s_4}| = \sqrt{13}$ м $\approx 3.61$ м.</p><p><strong>Модуль вектора $\vec{s_5}$</strong></p><p>Проекции вектора на оси: $s_{5x} = 11 \text{ м} - 11 \text{ м} = 0 \text{ м}$, $s_{5y} = 5 \text{ м} - 9 \text{ м} = -4 \text{ м}$.</p><p>Модуль вектора: $|\vec{s_5}| = \sqrt{0^2 + (-4)^2} = \sqrt{16} = 4$ м.</p><p><strong>Ответ:</strong> $|\vec{s_5}| = 4$ м.</p><p><strong>Модуль вектора $\vec{s_6}$</strong></p><p>Проекции вектора на оси: $s_{6x} = 8 \text{ м} - 11 \text{ м} = -3 \text{ м}$, $s_{6y} = 4 \text{ м} - 1 \text{ м} = 3 \text{ м}$.</p><p>Модуль вектора: $|\vec{s_6}| = \sqrt{(-3)^2 + 3^2} = \sqrt{9 + 9} = \sqrt{18} = 3\sqrt{2}$ м.</p><p><strong>Ответ:</strong> $|\vec{s_6}| = 3\sqrt{2}$ м $\approx 4.24$ м.</p>" ] #original: array:6 [ "id" => 1821911 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1074} "task" => array:2 [ "refs" => "1460306" "type" => "task" ] "text" => "<p><strong>Дано:</strong></p><p>Графическое представление векторов перемещений $\vec{s_1}, \vec{s_2}, \vec{s_3}, \vec{s_4}, \vec{s_5}, \vec{s_6}$ в системе координат XY. Масштаб координатной сетки: 1 клетка = 1 м.</p><p>Все данные представлены в системе СИ (метры), поэтому перевод не требуется.</p><p><strong>Найти:</strong></p><p>Модули векторов перемещений: $|\vec{s_1}|, |\vec{s_2}|, |\vec{s_3}|, |\vec{s_4}|, |\vec{s_5}|, |\vec{s_6}|$.</p><p><strong>Решение:</strong></p><p>Модуль вектора перемещения $\vec{s}$ с проекциями на оси координат $s_x$ и $s_y$ находится по теореме Пифагора:</p><p>$|\vec{s}| = \sqrt{s_x^2 + s_y^2}$</p><p>Проекции векторов на оси X и Y определим по рисунку, учитывая, что длина одной клетки сетки равна 1 м. Проекция вектора — это разность координат его конца и начала по соответствующей оси.</p><p><strong>Модуль вектора $\vec{s_1}$</strong></p><p>Проекции вектора на оси: $s_{1x} = 5 \text{ м} - 1 \text{ м} = 4 \text{ м}$, $s_{1y} = 3 \text{ м} - 3 \text{ м} = 0 \text{ м}$.</p><p>Модуль вектора: $|\vec{s_1}| = \sqrt{4^2 + 0^2} = \sqrt{16} = 4$ м.</p><p><strong>Ответ:</strong> $|\vec{s_1}| = 4$ м.</p><p><strong>Модуль вектора $\vec{s_2}$</strong></p><p>Проекции вектора на оси: $s_{2x} = 2 \text{ м} - 2 \text{ м} = 0 \text{ м}$, $s_{2y} = 9 \text{ м} - 5 \text{ м} = 4 \text{ м}$.</p><p>Модуль вектора: $|\vec{s_2}| = \sqrt{0^2 + 4^2} = \sqrt{16} = 4$ м.</p><p><strong>Ответ:</strong> $|\vec{s_2}| = 4$ м.</p><p><strong>Модуль вектора $\vec{s_3}$</strong></p><p>Проекции вектора на оси: $s_{3x} = 6 \text{ м} - 4 \text{ м} = 2 \text{ м}$, $s_{3y} = 9 \text{ м} - 8 \text{ м} = 1 \text{ м}$.</p><p>Модуль вектора: $|\vec{s_3}| = \sqrt{2^2 + 1^2} = \sqrt{4 + 1} = \sqrt{5}$ м.</p><p><strong>Ответ:</strong> $|\vec{s_3}| = \sqrt{5}$ м $\approx 2.24$ м.</p><p><strong>Модуль вектора $\vec{s_4}$</strong></p><p>Проекции вектора на оси: $s_{4x} = 8 \text{ м} - 5 \text{ м} = 3 \text{ м}$, $s_{4y} = 7 \text{ м} - 5 \text{ м} = 2 \text{ м}$.</p><p>Модуль вектора: $|\vec{s_4}| = \sqrt{3^2 + 2^2} = \sqrt{9 + 4} = \sqrt{13}$ м.</p><p><strong>Ответ:</strong> $|\vec{s_4}| = \sqrt{13}$ м $\approx 3.61$ м.</p><p><strong>Модуль вектора $\vec{s_5}$</strong></p><p>Проекции вектора на оси: $s_{5x} = 11 \text{ м} - 11 \text{ м} = 0 \text{ м}$, $s_{5y} = 5 \text{ м} - 9 \text{ м} = -4 \text{ м}$.</p><p>Модуль вектора: $|\vec{s_5}| = \sqrt{0^2 + (-4)^2} = \sqrt{16} = 4$ м.</p><p><strong>Ответ:</strong> $|\vec{s_5}| = 4$ м.</p><p><strong>Модуль вектора $\vec{s_6}$</strong></p><p>Проекции вектора на оси: $s_{6x} = 8 \text{ м} - 11 \text{ м} = -3 \text{ м}$, $s_{6y} = 4 \text{ м} - 1 \text{ м} = 3 \text{ м}$.</p><p>Модуль вектора: $|\vec{s_6}| = \sqrt{(-3)^2 + 3^2} = \sqrt{9 + 9} = \sqrt{18} = 3\sqrt{2}$ м.</p><p><strong>Ответ:</strong> $|\vec{s_6}| = 3\sqrt{2}$ м $\approx 4.24$ м.</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" => "1460307" "type" => "task" ] "previous" => array:2 [ "refs" => "1460305" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1081 #items: array:1 [ 0 => App\Models\Book {#1030} ] #escapeWhenCastingToString: false } "page" => Illuminate\Database\Eloquent\Collection {#1096 #items: array:1 [ 0 => App\Models\BookPage {#1095 #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" => 1462337 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "40" "field_url" => "/8-klass/fizika/artemenkov-zadachnik/page-40" "field_display_title" => "40" "field_folder" => "1" "field_image_name" => "40" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1097 #items: [] #escapeWhenCastingToString: false } "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1130 #items: array:1 [ 0 => App\Models\Book {#1098 #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" => 1646 "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 {#1100 #items: array:1 [ 0 => App\Models\Term {#1099 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ …10] #original: array:10 [ …10] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } ] #escapeWhenCastingToString: false } "field_class" => 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 [ …6] #original: array:6 [ …6] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } ] #escapeWhenCastingToString: false } "field_publisher" => 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 [ …6] #original: array:6 [ …6] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } ] #escapeWhenCastingToString: false } "field_author" => Illuminate\Database\Eloquent\Collection {#1105 #items: array:3 [ 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:12 [ …12] #original: array:12 [ …12] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true …5 } 1 => App\Models\Term {#1107 …30} 2 => App\Models\Term {#1108 …30} ] #escapeWhenCastingToString: false } "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1109 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1110 #items: array:1 [ 0 => App\Models\Term {#1111 …30} ] #escapeWhenCastingToString: false } "field_country" => Illuminate\Database\Eloquent\Collection {#1112 #items: array:1 [ 0 => App\Models\Term {#1113 …30} ] #escapeWhenCastingToString: false } "field_city" => Illuminate\Database\Eloquent\Collection {#1114 #items: array:1 [ 0 => App\Models\Term {#1115 …30} ] #escapeWhenCastingToString: false } "field_series" => Illuminate\Database\Eloquent\Collection {#1116 #items: array:1 [ 0 => App\Models\Term {#1117 …30} ] #escapeWhenCastingToString: false } "field_umk" => Illuminate\Database\Eloquent\Collection {#1118 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1119 #items: [] #escapeWhenCastingToString: false } "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1120 #items: [] #escapeWhenCastingToString: false } "field_publication_number" => "5" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1121 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1122 #items: array:1 [ 0 => App\Models\Term {#1108 …30} ] #escapeWhenCastingToString: false } "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2010" "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" => "308" "field_priority" => null "field_default_folder" => "/fizika_08/artemenkov-zd/" "field_isbn" => "978-5-09-046040-8" "field_cover" => array:1 [ 0 => "/media/fizika_08/artemenkov-zd/covers/cover1.webp?ts=1760136860" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_08/artemenkov-zd/covers/cover1.webp?ts=1760136860" "alt" => "" "width" => "1891" "height" => "2427" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1123 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1124 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1125 #items: [] #escapeWhenCastingToString: false } "field_url" => "/8-klass/fizika/artemenkov-zadachnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1126 #items: array:1 [ 0 => App\Models\Term {#1127 …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" => 379 "subject" => 556 "class_subject" => 492 ] ] #original: array:50 [ "id" => 1646 "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 {#1100} "field_class" => Illuminate\Database\Eloquent\Collection {#1101} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1103} "field_author" => Illuminate\Database\Eloquent\Collection {#1105} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1109} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1110} "field_country" => Illuminate\Database\Eloquent\Collection {#1112} "field_city" => Illuminate\Database\Eloquent\Collection {#1114} "field_series" => Illuminate\Database\Eloquent\Collection {#1116} "field_umk" => Illuminate\Database\Eloquent\Collection {#1118} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1119} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1120} "field_publication_number" => "5" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1121} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1122} "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2010" "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" => "308" "field_priority" => null "field_default_folder" => "/fizika_08/artemenkov-zd/" "field_isbn" => "978-5-09-046040-8" "field_cover" => array:1 [ 0 => "/media/fizika_08/artemenkov-zd/covers/cover1.webp?ts=1760136860" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_08/artemenkov-zd/covers/cover1.webp?ts=1760136860" "alt" => "" "width" => "1891" "height" => "2427" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1123} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1124} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1125} "field_url" => "/8-klass/fizika/artemenkov-zadachnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1126} "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 } "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 {#1128 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1139 #items: array:1 [ 0 => App\Models\Element {#1138 #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" => 1753898 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1148 #items: array:1 [ 0 => App\Models\Edition {#1140 …30} ] #escapeWhenCastingToString: false } "book_page" => array:2 [ "refs" => "1462337" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "40-1.jpg" "alt" => null "width" => "1994" "height" => 2505 "path" => "/media/fizika_08/artemenkov-zd/0-1/40-1.webp?ts=1760705538" ] ] ] #original: array:6 [ "id" => 1753898 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1148} "book_page" => array:2 [ "refs" => "1462337" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "40-1.jpg" "alt" => null "width" => "1994" "height" => 2505 "path" => "/media/fizika_08/artemenkov-zd/0-1/40-1.webp?ts=1760705538" ] ] ] #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" => "1462338" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1462336" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1374 #items: array:6 [ 0 => 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" => 1460303 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "40" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-7" "field_display_title" => "8.7" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1390 #items: array:1 [ 0 => App\Models\Term {#1387 …30} ] #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 {#1389 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1426 #items: array:1 [ 0 => App\Models\Branch {#1388 …30} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1424 #items: array:1 [ 0 => App\Models\Branch {#1388 …30} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1427 #items: array:2 [ 0 => App\Models\Element {#1436 …30} 1 => App\Models\Element {#1438 …30} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1460304" "type" => "task" ] "previous" => array:2 [ "refs" => "1460302" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1433 #items: array:1 [ 0 => App\Models\Book {#1098} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1462337" "type" => "book_page" ] ] #original: array:24 [ "id" => 1460303 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "40" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-7" "field_display_title" => "8.7" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1390} "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 {#1389} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1426} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1424} "content" => Illuminate\Database\Eloquent\Collection {#1427} "next" => array:2 [ "refs" => "1460304" "type" => "task" ] "previous" => array:2 [ "refs" => "1460302" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1433} "page" => array:2 [ "refs" => "1462337" "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 {#1428 #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" => 1460304 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "40" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-8" "field_display_title" => "8.8" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1425 #items: array:1 [ 0 => App\Models\Term {#1387 …30} ] #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 {#1435 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1431 #items: array:1 [ 0 => App\Models\Branch {#1388 …30} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1429 #items: array:1 [ 0 => App\Models\Branch {#1388 …30} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1430 #items: array:2 [ 0 => App\Models\Element {#1454 …30} 1 => App\Models\Element {#1456 …30} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1460305" "type" => "task" ] "previous" => array:2 [ "refs" => "1460303" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1451 #items: array:1 [ 0 => App\Models\Book {#1098} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1462337" "type" => "book_page" ] ] #original: array:24 [ "id" => 1460304 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "40" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-8" "field_display_title" => "8.8" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1425} "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 {#1435} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1431} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1429} "content" => Illuminate\Database\Eloquent\Collection {#1430} "next" => array:2 [ "refs" => "1460305" "type" => "task" ] "previous" => array:2 [ "refs" => "1460303" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1451} "page" => array:2 [ "refs" => "1462337" "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 {#1445 #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" => 1460305 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "40" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-9" "field_display_title" => "8.9" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1432 #items: array:1 [ 0 => App\Models\Term {#1387 …30} ] #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 {#1453 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1449 #items: array:1 [ 0 => App\Models\Branch {#1388 …30} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1446 #items: array:1 [ 0 => App\Models\Branch {#1388 …30} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1466 #items: array:2 [ 0 => App\Models\Element {#1474 …30} 1 => App\Models\Element {#1476 …30} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1460306" "type" => "task" ] "previous" => array:2 [ "refs" => "1460304" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1471 #items: array:1 [ 0 => App\Models\Book {#1098} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1462337" "type" => "book_page" ] ] #original: array:24 [ "id" => 1460305 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "40" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-9" "field_display_title" => "8.9" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1432} "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 {#1453} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1449} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1446} "content" => Illuminate\Database\Eloquent\Collection {#1466} "next" => array:2 [ "refs" => "1460306" "type" => "task" ] "previous" => array:2 [ "refs" => "1460304" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1471} "page" => array:2 [ "refs" => "1462337" "type" => "book_page" ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 3 => App\Models\Task {#1450 #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" => 1460306 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "40" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-10" "field_display_title" => "8.10" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1458 #items: array:1 [ 0 => App\Models\Term {#1387 …30} ] #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 {#1448 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1463 #items: array:1 [ 0 => App\Models\Branch {#1388 …30} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1462 #items: array:1 [ 0 => App\Models\Branch {#1388 …30} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1478 #items: array:2 [ 0 => App\Models\Element {#1486 …30} 1 => App\Models\Element {#1488 …30} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1460307" "type" => "task" ] "previous" => array:2 [ "refs" => "1460305" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1483 #items: array:1 [ 0 => App\Models\Book {#1098} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1462337" "type" => "book_page" ] ] #original: array:24 [ "id" => 1460306 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "40" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-10" "field_display_title" => "8.10" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1458} "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 {#1448} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1463} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1462} "content" => Illuminate\Database\Eloquent\Collection {#1478} "next" => array:2 [ "refs" => "1460307" "type" => "task" ] "previous" => array:2 [ "refs" => "1460305" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1483} "page" => array:2 [ "refs" => "1462337" "type" => "book_page" ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 4 => App\Models\Task {#1461 #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" => 1460307 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "40" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-11" "field_display_title" => "8.11" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1460 #items: array:1 [ 0 => App\Models\Term {#1387 …30} ] #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 {#1459 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1467 #items: array:1 [ 0 => App\Models\Branch {#1388 …30} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1469 #items: array:1 [ 0 => App\Models\Branch {#1388 …30} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1465 #items: array:2 [ 0 => App\Models\Element {#1490 …30} 1 => App\Models\Element {#1492 …30} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1460308" "type" => "task" ] "previous" => array:2 [ "refs" => "1460306" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1479 #items: array:1 [ 0 => App\Models\Book {#1098} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1462337" "type" => "book_page" ] ] #original: array:24 [ "id" => 1460307 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "40" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-11" "field_display_title" => "8.11" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1460} "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 {#1459} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1467} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1469} "content" => Illuminate\Database\Eloquent\Collection {#1465} "next" => array:2 [ "refs" => "1460308" "type" => "task" ] "previous" => array:2 [ "refs" => "1460306" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1479} "page" => array:2 [ "refs" => "1462337" "type" => "book_page" ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 5 => App\Models\Task {#1464 #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" => 1460308 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "40" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-12" "field_display_title" => "8.12" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1473 #items: array:1 [ 0 => App\Models\Term {#1387 …30} ] #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 {#1480 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1485 #items: array:1 [ 0 => App\Models\Branch {#1388 …30} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1468 #items: array:1 [ 0 => App\Models\Branch {#1388 …30} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1470 #items: array:2 [ 0 => App\Models\Element {#1502 …30} 1 => App\Models\Element {#1504 …30} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1460309" "type" => "task" ] "previous" => array:2 [ "refs" => "1460307" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1499 #items: array:1 [ 0 => App\Models\Book {#1098} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1462337" "type" => "book_page" ] ] #original: array:24 [ "id" => 1460308 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "40" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-12" "field_display_title" => "8.12" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1473} "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 {#1480} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1485} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1468} "content" => Illuminate\Database\Eloquent\Collection {#1470} "next" => array:2 [ "refs" => "1460309" "type" => "task" ] "previous" => array:2 [ "refs" => "1460307" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1499} "page" => array:2 [ "refs" => "1462337" "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" => 1462337 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "40" "field_url" => "/8-klass/fizika/artemenkov-zadachnik/page-40" "field_display_title" => "40" "field_folder" => "1" "field_image_name" => "40" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1097} "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1130} "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 {#1128} "content" => Illuminate\Database\Eloquent\Collection {#1139} "next" => array:2 [ "refs" => "1462338" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1462336" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1374} ] #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" => 1460306 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "40" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-10" "field_display_title" => "8.10" "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 {#1063} "content" => Illuminate\Database\Eloquent\Collection {#1064} "next" => array:2 [ "refs" => "1460307" "type" => "task" ] "previous" => array:2 [ "refs" => "1460305" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1081} "page" => array:2 [ "refs" => "1462337" "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 => "*" ] }
№8.10 (с. 40)
Условие. №8.10 (с. 40)
скриншот условия
8.10 Определите модули векторов перемещений, приведённых на рисунке 29.
Рис. 29
Решение. №8.10 (с. 40)
Дано:
Графическое представление векторов перемещений $\vec{s_1}, \vec{s_2}, \vec{s_3}, \vec{s_4}, \vec{s_5}, \vec{s_6}$ в системе координат XY. Масштаб координатной сетки: 1 клетка = 1 м.
Все данные представлены в системе СИ (метры), поэтому перевод не требуется.
Найти:
Модули векторов перемещений: $|\vec{s_1}|, |\vec{s_2}|, |\vec{s_3}|, |\vec{s_4}|, |\vec{s_5}|, |\vec{s_6}|$.
Решение:
Модуль вектора перемещения $\vec{s}$ с проекциями на оси координат $s_x$ и $s_y$ находится по теореме Пифагора:
$|\vec{s}| = \sqrt{s_x^2 + s_y^2}$
Проекции векторов на оси X и Y определим по рисунку, учитывая, что длина одной клетки сетки равна 1 м. Проекция вектора — это разность координат его конца и начала по соответствующей оси.
Модуль вектора $\vec{s_1}$
Проекции вектора на оси: $s_{1x} = 5 \text{ м} - 1 \text{ м} = 4 \text{ м}$, $s_{1y} = 3 \text{ м} - 3 \text{ м} = 0 \text{ м}$.
Модуль вектора: $|\vec{s_1}| = \sqrt{4^2 + 0^2} = \sqrt{16} = 4$ м.
Ответ: $|\vec{s_1}| = 4$ м.
Модуль вектора $\vec{s_2}$
Проекции вектора на оси: $s_{2x} = 2 \text{ м} - 2 \text{ м} = 0 \text{ м}$, $s_{2y} = 9 \text{ м} - 5 \text{ м} = 4 \text{ м}$.
Модуль вектора: $|\vec{s_2}| = \sqrt{0^2 + 4^2} = \sqrt{16} = 4$ м.
Ответ: $|\vec{s_2}| = 4$ м.
Модуль вектора $\vec{s_3}$
Проекции вектора на оси: $s_{3x} = 6 \text{ м} - 4 \text{ м} = 2 \text{ м}$, $s_{3y} = 9 \text{ м} - 8 \text{ м} = 1 \text{ м}$.
Модуль вектора: $|\vec{s_3}| = \sqrt{2^2 + 1^2} = \sqrt{4 + 1} = \sqrt{5}$ м.
Ответ: $|\vec{s_3}| = \sqrt{5}$ м $\approx 2.24$ м.
Модуль вектора $\vec{s_4}$
Проекции вектора на оси: $s_{4x} = 8 \text{ м} - 5 \text{ м} = 3 \text{ м}$, $s_{4y} = 7 \text{ м} - 5 \text{ м} = 2 \text{ м}$.
Модуль вектора: $|\vec{s_4}| = \sqrt{3^2 + 2^2} = \sqrt{9 + 4} = \sqrt{13}$ м.
Ответ: $|\vec{s_4}| = \sqrt{13}$ м $\approx 3.61$ м.
Модуль вектора $\vec{s_5}$
Проекции вектора на оси: $s_{5x} = 11 \text{ м} - 11 \text{ м} = 0 \text{ м}$, $s_{5y} = 5 \text{ м} - 9 \text{ м} = -4 \text{ м}$.
Модуль вектора: $|\vec{s_5}| = \sqrt{0^2 + (-4)^2} = \sqrt{16} = 4$ м.
Ответ: $|\vec{s_5}| = 4$ м.
Модуль вектора $\vec{s_6}$
Проекции вектора на оси: $s_{6x} = 8 \text{ м} - 11 \text{ м} = -3 \text{ м}$, $s_{6y} = 4 \text{ м} - 1 \text{ м} = 3 \text{ м}$.
Модуль вектора: $|\vec{s_6}| = \sqrt{(-3)^2 + 3^2} = \sqrt{9 + 9} = \sqrt{18} = 3\sqrt{2}$ м.
Ответ: $|\vec{s_6}| = 3\sqrt{2}$ м $\approx 4.24$ м.
Другие задания:
Помогло решение? Оставьте отзыв в комментариях ниже.
Присоединяйтесь к Телеграм-группе @top_gdz
ПрисоединитьсяМы подготовили для вас ответ c подробным объяснением домашего задания по физике за 8 класс, для упражнения номер 8.10 расположенного на странице 40 к задачнику серии сферы 2010 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 №8.10 (с. 40), авторов: Артеменков (Денис Александрович), Ломаченков (Иван Алексеевич), Панебратцев (Юрий Анатольевич), учебного пособия издательства Просвещение.