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Номер 8.19, страница 42 - 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 8.19, страница 42.
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" => 1460315 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "42" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-19" "field_display_title" => "8.19" "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" => 1753813 "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" => "1460315" "type" => "task" ] "text" => "<p><strong>8.19</strong> Из пунктов А и В по шоссе навстречу друг другу движутся два автомобиля. Один выехал в 10 ч из пункта А, а другой — в 10 ч 45 мин из пункта В. Первый движется со скоростью 60 км/ч, а второй — со скоростью 80 км/ч. Расстояние между пунктами равно 185 км. В какое время и на каком расстоянии от пункта А автомобили встретятся?</p>" "img" => array:1 [ 0 => array:5 [ "name" => "19-1.jpg" "alt" => null "width" => "1743" "height" => 425 "path" => "/media/fizika_08/artemenkov-zd/0-08/19-1.webp?ts=1760701788" ] ] ] #original: array:7 [ "id" => 1753813 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1066} "task" => array:2 [ "refs" => "1460315" "type" => "task" ] "text" => "<p><strong>8.19</strong> Из пунктов А и В по шоссе навстречу друг другу движутся два автомобиля. Один выехал в 10 ч из пункта А, а другой — в 10 ч 45 мин из пункта В. Первый движется со скоростью 60 км/ч, а второй — со скоростью 80 км/ч. Расстояние между пунктами равно 185 км. В какое время и на каком расстоянии от пункта А автомобили встретятся?</p>" "img" => array:1 [ 0 => array:5 [ "name" => "19-1.jpg" "alt" => null "width" => "1743" "height" => 425 "path" => "/media/fizika_08/artemenkov-zd/0-08/19-1.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" => 1821920 "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" => "1460315" "type" => "task" ] "text" => "<p><strong>Дано:</strong></p><p>Время выезда автомобиля из пункта А: $t_1 = 10 \text{ ч } 00 \text{ мин}$</p><p>Время выезда автомобиля из пункта B: $t_2 = 10 \text{ ч } 45 \text{ мин}$</p><p>Скорость первого автомобиля (из А): $v_1 = 60 \text{ км/ч}$</p><p>Скорость второго автомобиля (из В): $v_2 = 80 \text{ км/ч}$</p><p>Расстояние между пунктами А и В: $S = 185 \text{ км}$</p><p><em>Перевод в систему СИ:</em></p><p>$v_1 = 60 \frac{\text{км}}{\text{ч}} = 60 \cdot \frac{1000 \text{ м}}{3600 \text{ с}} = \frac{50}{3} \text{ м/с} \approx 16.67 \text{ м/с}$</p><p>$v_2 = 80 \frac{\text{км}}{\text{ч}} = 80 \cdot \frac{1000 \text{ м}}{3600 \text{ с}} = \frac{200}{9} \text{ м/с} \approx 22.22 \text{ м/с}$</p><p>$S = 185 \text{ км} = 185000 \text{ м}$</p><p>Разница во времени старта $\Delta t = 45 \text{ мин} = 2700 \text{ с}$</p><p><em>Для удобства дальнейших вычислений будем использовать единицы измерения км и ч.</em></p><p><strong>Найти:</strong></p><p>Время встречи $t_{встр}$ — ?</p><p>Расстояние от пункта А до места встречи $S_A$ — ?</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Первый автомобиль выехал раньше второго. Найдем разницу во времени:</p><p>$\Delta t = 10 \text{ ч } 45 \text{ мин} - 10 \text{ ч } 00 \text{ мин} = 45 \text{ мин}$</p><p>Переведем минуты в часы для удобства расчетов:</p><p>$\Delta t = 45 \text{ мин} = \frac{45}{60} \text{ ч} = 0.75 \text{ ч}$</p><p><strong>2.</strong> За это время первый автомобиль успел проехать некоторое расстояние. Найдем его:</p><p>$S_{форы} = v_1 \cdot \Delta t = 60 \text{ км/ч} \cdot 0.75 \text{ ч} = 45 \text{ км}$</p><p><strong>3.</strong> В момент, когда второй автомобиль начал движение (в 10:45), расстояние между автомобилями стало меньше:</p><p>$S_{ост} = S - S_{форы} = 185 \text{ км} - 45 \text{ км} = 140 \text{ км}$</p><p><strong>4.</strong> Далее автомобили движутся навстречу друг другу. Скорость их сближения равна сумме их скоростей:</p><p>$v_{сбл} = v_1 + v_2 = 60 \text{ км/ч} + 80 \text{ км/ч} = 140 \text{ км/ч}$</p><p>Теперь мы можем ответить на вопросы задачи.</p><p><strong>В какое время автомобили встретятся?</strong></p><p>Найдем время, через которое автомобили встретятся, с момента начала движения второго автомобиля. Для этого разделим оставшееся расстояние на скорость сближения:</p><p>$t_{совм} = \frac{S_{ост}}{v_{сбл}} = \frac{140 \text{ км}}{140 \text{ км/ч}} = 1 \text{ ч}$</p><p>Встреча произойдет через 1 час после выезда второго автомобиля. Так как он выехал в 10 ч 45 мин, время встречи будет:</p><p>$t_{встр} = 10 \text{ ч } 45 \text{ мин} + 1 \text{ ч} = 11 \text{ ч } 45 \text{ мин}$</p><p><strong>Ответ:</strong> автомобили встретятся в 11 ч 45 мин.</p><p><strong>На каком расстоянии от пункта А автомобили встретятся?</strong></p><p>Чтобы найти это расстояние, нужно определить, какой путь проделал первый автомобиль от пункта А до места встречи. Для этого нужно его скорость умножить на общее время его движения.</p><p>Общее время движения первого автомобиля складывается из времени, которое он ехал один, и времени совместного движения:</p><p>$t_{общ1} = \Delta t + t_{совм} = 0.75 \text{ ч} + 1 \text{ ч} = 1.75 \text{ ч}$</p><p>Теперь найдем расстояние от пункта А:</p><p>$S_A = v_1 \cdot t_{общ1} = 60 \text{ км/ч} \cdot 1.75 \text{ ч} = 105 \text{ км}$</p><p><strong>Ответ:</strong> автомобили встретятся на расстоянии 105 км от пункта А.</p>" ] #original: array:6 [ "id" => 1821920 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1074} "task" => array:2 [ "refs" => "1460315" "type" => "task" ] "text" => "<p><strong>Дано:</strong></p><p>Время выезда автомобиля из пункта А: $t_1 = 10 \text{ ч } 00 \text{ мин}$</p><p>Время выезда автомобиля из пункта B: $t_2 = 10 \text{ ч } 45 \text{ мин}$</p><p>Скорость первого автомобиля (из А): $v_1 = 60 \text{ км/ч}$</p><p>Скорость второго автомобиля (из В): $v_2 = 80 \text{ км/ч}$</p><p>Расстояние между пунктами А и В: $S = 185 \text{ км}$</p><p><em>Перевод в систему СИ:</em></p><p>$v_1 = 60 \frac{\text{км}}{\text{ч}} = 60 \cdot \frac{1000 \text{ м}}{3600 \text{ с}} = \frac{50}{3} \text{ м/с} \approx 16.67 \text{ м/с}$</p><p>$v_2 = 80 \frac{\text{км}}{\text{ч}} = 80 \cdot \frac{1000 \text{ м}}{3600 \text{ с}} = \frac{200}{9} \text{ м/с} \approx 22.22 \text{ м/с}$</p><p>$S = 185 \text{ км} = 185000 \text{ м}$</p><p>Разница во времени старта $\Delta t = 45 \text{ мин} = 2700 \text{ с}$</p><p><em>Для удобства дальнейших вычислений будем использовать единицы измерения км и ч.</em></p><p><strong>Найти:</strong></p><p>Время встречи $t_{встр}$ — ?</p><p>Расстояние от пункта А до места встречи $S_A$ — ?</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Первый автомобиль выехал раньше второго. Найдем разницу во времени:</p><p>$\Delta t = 10 \text{ ч } 45 \text{ мин} - 10 \text{ ч } 00 \text{ мин} = 45 \text{ мин}$</p><p>Переведем минуты в часы для удобства расчетов:</p><p>$\Delta t = 45 \text{ мин} = \frac{45}{60} \text{ ч} = 0.75 \text{ ч}$</p><p><strong>2.</strong> За это время первый автомобиль успел проехать некоторое расстояние. Найдем его:</p><p>$S_{форы} = v_1 \cdot \Delta t = 60 \text{ км/ч} \cdot 0.75 \text{ ч} = 45 \text{ км}$</p><p><strong>3.</strong> В момент, когда второй автомобиль начал движение (в 10:45), расстояние между автомобилями стало меньше:</p><p>$S_{ост} = S - S_{форы} = 185 \text{ км} - 45 \text{ км} = 140 \text{ км}$</p><p><strong>4.</strong> Далее автомобили движутся навстречу друг другу. Скорость их сближения равна сумме их скоростей:</p><p>$v_{сбл} = v_1 + v_2 = 60 \text{ км/ч} + 80 \text{ км/ч} = 140 \text{ км/ч}$</p><p>Теперь мы можем ответить на вопросы задачи.</p><p><strong>В какое время автомобили встретятся?</strong></p><p>Найдем время, через которое автомобили встретятся, с момента начала движения второго автомобиля. Для этого разделим оставшееся расстояние на скорость сближения:</p><p>$t_{совм} = \frac{S_{ост}}{v_{сбл}} = \frac{140 \text{ км}}{140 \text{ км/ч}} = 1 \text{ ч}$</p><p>Встреча произойдет через 1 час после выезда второго автомобиля. Так как он выехал в 10 ч 45 мин, время встречи будет:</p><p>$t_{встр} = 10 \text{ ч } 45 \text{ мин} + 1 \text{ ч} = 11 \text{ ч } 45 \text{ мин}$</p><p><strong>Ответ:</strong> автомобили встретятся в 11 ч 45 мин.</p><p><strong>На каком расстоянии от пункта А автомобили встретятся?</strong></p><p>Чтобы найти это расстояние, нужно определить, какой путь проделал первый автомобиль от пункта А до места встречи. Для этого нужно его скорость умножить на общее время его движения.</p><p>Общее время движения первого автомобиля складывается из времени, которое он ехал один, и времени совместного движения:</p><p>$t_{общ1} = \Delta t + t_{совм} = 0.75 \text{ ч} + 1 \text{ ч} = 1.75 \text{ ч}$</p><p>Теперь найдем расстояние от пункта А:</p><p>$S_A = v_1 \cdot t_{общ1} = 60 \text{ км/ч} \cdot 1.75 \text{ ч} = 105 \text{ км}$</p><p><strong>Ответ:</strong> автомобили встретятся на расстоянии 105 км от пункта А.</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" => "1460316" "type" => "task" ] "previous" => array:2 [ "refs" => "1460314" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1081 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{#1237 #items: array:1 [ 0 => App\Models\Branch {#1203 …30} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1238 #items: array:2 [ 0 => App\Models\Element {#1239 …30} 1 => App\Models\Element {#1247 …30} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1460315" "type" => "task" ] "previous" => array:2 [ "refs" => "1460313" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1255 #items: array:1 [ 0 => App\Models\Book {#1206 …30} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1462339" "type" => "book_page" ] ] #original: array:24 [ "id" => 1460314 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "42" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-18" "field_display_title" => "8.18" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1199} "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 {#1201} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1202} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1237} "content" => Illuminate\Database\Eloquent\Collection {#1238} "next" => array:2 [ "refs" => "1460315" "type" => "task" ] "previous" => array:2 [ "refs" => "1460313" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1255} "page" => array:2 [ "refs" => "1462339" "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 {#1256 #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" => 1460315 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "42" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-19" "field_display_title" => "8.19" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1257 #items: array:1 [ 0 => App\Models\Term {#1258 …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 {#1259 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1260 #items: array:1 [ 0 => App\Models\Branch {#1261 …30} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1295 #items: array:1 [ 0 => App\Models\Branch {#1261 …30} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1296 #items: array:2 [ 0 => App\Models\Element {#1297 …30} 1 => App\Models\Element {#1305 …30} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1460316" "type" => "task" ] "previous" => array:2 [ "refs" => "1460314" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1313 #items: array:1 [ 0 => App\Models\Book {#1264 …30} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1462339" "type" => "book_page" ] ] #original: array:24 [ "id" => 1460315 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "42" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-19" "field_display_title" => "8.19" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1257} "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 {#1259} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1260} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1295} "content" => Illuminate\Database\Eloquent\Collection {#1296} "next" => array:2 [ "refs" => "1460316" "type" => "task" ] "previous" => array:2 [ "refs" => "1460314" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1313} "page" => array:2 [ "refs" => "1462339" "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 {#1314 #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" => 1460316 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "42" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-20" "field_display_title" => "8.20" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1315 #items: array:1 [ 0 => App\Models\Term {#1316 …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 {#1317 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1318 #items: array:1 [ 0 => App\Models\Branch {#1319 …30} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1353 #items: array:1 [ 0 => App\Models\Branch {#1319 …30} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1354 #items: array:2 [ 0 => App\Models\Element {#1355 …30} 1 => App\Models\Element {#1363 …30} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1460317" "type" => "task" ] "previous" => array:2 [ "refs" => "1460315" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1371 #items: array:1 [ 0 => App\Models\Book {#1322 …30} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1462339" "type" => "book_page" ] ] #original: array:24 [ "id" => 1460316 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "42" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-20" "field_display_title" => "8.20" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1315} "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 {#1317} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1318} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1353} "content" => Illuminate\Database\Eloquent\Collection {#1354} "next" => array:2 [ "refs" => "1460317" "type" => "task" ] "previous" => array:2 [ "refs" => "1460315" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1371} "page" => array:2 [ "refs" => "1462339" "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 {#1372 #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" => 1460317 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "42" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-21" "field_display_title" => "8.21" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1373 #items: array:1 [ 0 => App\Models\Term {#1374 …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 {#1375 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1376 #items: array:1 [ 0 => App\Models\Branch {#1377 …30} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1411 #items: array:1 [ 0 => App\Models\Branch {#1377 …30} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1412 #items: array:2 [ 0 => App\Models\Element {#1413 …30} 1 => App\Models\Element {#1421 …30} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1460318" "type" => "task" ] "previous" => array:2 [ "refs" => "1460316" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1429 #items: array:1 [ 0 => App\Models\Book {#1380 …30} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1462339" "type" => "book_page" ] ] #original: array:24 [ "id" => 1460317 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "42" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-21" "field_display_title" => "8.21" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1373} "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 {#1375} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1376} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1411} "content" => Illuminate\Database\Eloquent\Collection {#1412} "next" => array:2 [ "refs" => "1460318" "type" => "task" ] "previous" => array:2 [ "refs" => "1460316" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1429} "page" => array:2 [ "refs" => "1462339" "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 {#1430 #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" => 1460318 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "42" "field_page_end" => "43" "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-22" "field_display_title" => "8.22" "field_outside_task" => "0" "field_task_type" => Illuminate\Database\Eloquent\Collection {#1431 #items: array:1 [ 0 => App\Models\Term {#1432 …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 {#1433 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1434 #items: array:1 [ 0 => App\Models\Branch {#1435 …30} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1469 #items: array:1 [ 0 => App\Models\Branch {#1435 …30} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1470 #items: array:2 [ 0 => App\Models\Element {#1471 …30} 1 => App\Models\Element {#1479 …30} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1460319" "type" => "task" ] "previous" => array:2 [ "refs" => "1460317" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1487 #items: array:1 [ 0 => App\Models\Book {#1438 …30} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1462339" "type" => "book_page" ] ] #original: array:24 [ "id" => 1460318 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "42" "field_page_end" => "43" "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-22" "field_display_title" => "8.22" "field_outside_task" => "0" "field_task_type" => Illuminate\Database\Eloquent\Collection {#1431} "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 {#1433} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1434} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1469} "content" => Illuminate\Database\Eloquent\Collection {#1470} "next" => array:2 [ "refs" => "1460319" "type" => "task" ] "previous" => array:2 [ "refs" => "1460317" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1487} "page" => array:2 [ "refs" => "1462339" "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" => 1462339 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "42" "field_url" => "/8-klass/fizika/artemenkov-zadachnik/page-42" "field_display_title" => "42" "field_folder" => "1" "field_image_name" => "42" "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" => "1462340" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1462338" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1488} ] #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" => 1460315 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "42" "field_page_end" => null "field_url" => "/8-klass/fizika/artemenkov-zadachnik/08-19" "field_display_title" => "8.19" "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" => "1460316" "type" => "task" ] "previous" => array:2 [ "refs" => "1460314" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1081} "page" => array:2 [ "refs" => "1462339" "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 => "*" ] }
№8.19 (с. 42)
Условие. №8.19 (с. 42)
скриншот условия
8.19 Из пунктов А и В по шоссе навстречу друг другу движутся два автомобиля. Один выехал в 10 ч из пункта А, а другой — в 10 ч 45 мин из пункта В. Первый движется со скоростью 60 км/ч, а второй — со скоростью 80 км/ч. Расстояние между пунктами равно 185 км. В какое время и на каком расстоянии от пункта А автомобили встретятся?
Решение. №8.19 (с. 42)
Дано:
Время выезда автомобиля из пункта А: $t_1 = 10 \text{ ч } 00 \text{ мин}$
Время выезда автомобиля из пункта B: $t_2 = 10 \text{ ч } 45 \text{ мин}$
Скорость первого автомобиля (из А): $v_1 = 60 \text{ км/ч}$
Скорость второго автомобиля (из В): $v_2 = 80 \text{ км/ч}$
Расстояние между пунктами А и В: $S = 185 \text{ км}$
Перевод в систему СИ:
$v_1 = 60 \frac{\text{км}}{\text{ч}} = 60 \cdot \frac{1000 \text{ м}}{3600 \text{ с}} = \frac{50}{3} \text{ м/с} \approx 16.67 \text{ м/с}$
$v_2 = 80 \frac{\text{км}}{\text{ч}} = 80 \cdot \frac{1000 \text{ м}}{3600 \text{ с}} = \frac{200}{9} \text{ м/с} \approx 22.22 \text{ м/с}$
$S = 185 \text{ км} = 185000 \text{ м}$
Разница во времени старта $\Delta t = 45 \text{ мин} = 2700 \text{ с}$
Для удобства дальнейших вычислений будем использовать единицы измерения км и ч.
Найти:
Время встречи $t_{встр}$ — ?
Расстояние от пункта А до места встречи $S_A$ — ?
Решение:
1. Первый автомобиль выехал раньше второго. Найдем разницу во времени:
$\Delta t = 10 \text{ ч } 45 \text{ мин} - 10 \text{ ч } 00 \text{ мин} = 45 \text{ мин}$
Переведем минуты в часы для удобства расчетов:
$\Delta t = 45 \text{ мин} = \frac{45}{60} \text{ ч} = 0.75 \text{ ч}$
2. За это время первый автомобиль успел проехать некоторое расстояние. Найдем его:
$S_{форы} = v_1 \cdot \Delta t = 60 \text{ км/ч} \cdot 0.75 \text{ ч} = 45 \text{ км}$
3. В момент, когда второй автомобиль начал движение (в 10:45), расстояние между автомобилями стало меньше:
$S_{ост} = S - S_{форы} = 185 \text{ км} - 45 \text{ км} = 140 \text{ км}$
4. Далее автомобили движутся навстречу друг другу. Скорость их сближения равна сумме их скоростей:
$v_{сбл} = v_1 + v_2 = 60 \text{ км/ч} + 80 \text{ км/ч} = 140 \text{ км/ч}$
Теперь мы можем ответить на вопросы задачи.
В какое время автомобили встретятся?
Найдем время, через которое автомобили встретятся, с момента начала движения второго автомобиля. Для этого разделим оставшееся расстояние на скорость сближения:
$t_{совм} = \frac{S_{ост}}{v_{сбл}} = \frac{140 \text{ км}}{140 \text{ км/ч}} = 1 \text{ ч}$
Встреча произойдет через 1 час после выезда второго автомобиля. Так как он выехал в 10 ч 45 мин, время встречи будет:
$t_{встр} = 10 \text{ ч } 45 \text{ мин} + 1 \text{ ч} = 11 \text{ ч } 45 \text{ мин}$
Ответ: автомобили встретятся в 11 ч 45 мин.
На каком расстоянии от пункта А автомобили встретятся?
Чтобы найти это расстояние, нужно определить, какой путь проделал первый автомобиль от пункта А до места встречи. Для этого нужно его скорость умножить на общее время его движения.
Общее время движения первого автомобиля складывается из времени, которое он ехал один, и времени совместного движения:
$t_{общ1} = \Delta t + t_{совм} = 0.75 \text{ ч} + 1 \text{ ч} = 1.75 \text{ ч}$
Теперь найдем расстояние от пункта А:
$S_A = v_1 \cdot t_{общ1} = 60 \text{ км/ч} \cdot 1.75 \text{ ч} = 105 \text{ км}$
Ответ: автомобили встретятся на расстоянии 105 км от пункта А.
Другие задания:
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