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Вариант 9, страница 80 - гдз по физике 9 класс дидактические материалы Марон, Марон
Авторы: Марон А. Е., Марон Е. А.
Тип: Дидактические материалы
Издательство: Просвещение
Год издания: 2022 - 2026
Уровень обучения: базовый
Цвет обложки: белый изображена башня
ISBN: 978-5-09-111414-0
Популярные ГДЗ в 9 классе
Самостоятельные работы. СР-11. Импульс тела. Закон сохранения импульса. Закон сохранения механической энергии - страница 80.
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" => 1428668 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "80" "field_page_end" => null "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp11-9" "field_display_title" => "Вариант 9" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#331 #items: [] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1029 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1026 #items: array:1 [ 0 => App\Models\Branch {#342 #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" => 1428174 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Самостоятельные работы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1023 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "53" "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 {#333 #items: array:1 [ 0 => App\Models\Book {#1033 #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" => 894 "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 {#1030 #items: array:1 [ 0 => App\Models\Term {#1032 #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 {#1034 #items: array:1 [ 0 => App\Models\Term {#1035 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 5458 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "9" "field_cases" => array:6 [ "field_accusative_case" => "девятый" "field_creative_case" => "девятым" "field_dative_case" => "девятому" "field_genitive_case" => "девятого" "field_nominative_case" => "девятый" "field_prepositional_case" => "девятом" ] "field_translit" => "devjatyj" ] #original: array:6 [ "id" => 5458 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "9" "field_cases" => array:6 [ "field_accusative_case" => "девятый" "field_creative_case" => "девятым" "field_dative_case" => "девятому" "field_genitive_case" => "девятого" "field_nominative_case" => "девятый" "field_prepositional_case" => "девятом" ] "field_translit" => "devjatyj" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_publisher" => Illuminate\Database\Eloquent\Collection {#1036 #items: array:1 [ 0 => App\Models\Term {#1037 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array: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 {#1038 #items: array:2 [ 0 => App\Models\Term {#1039 #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" => 5107 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Марон" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Абрам" "field_patronymic" => "Евсеевич" "field_surname_rp" => null ] #original: array:12 [ "id" => 5107 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Марон" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Абрам" "field_patronymic" => "Евсеевич" "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 {#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" => 5108 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Марон" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Евгений" "field_patronymic" => "Абрамович" "field_surname_rp" => null ] #original: array:12 [ "id" => 5108 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Марон" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Евгений" "field_patronymic" => "Абрамович" "field_surname_rp" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1041 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1042 #items: array:1 [ 0 => App\Models\Term {#1043 #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" => 6510 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Дидактические материалы" "field_book_type_foreign" => null "field_cases" => array:6 [ "field_accusative_case" => "дидактические материалы" "field_creative_case" => "дидактическими материалами" "field_dative_case" => "дидактическим материалам" "field_genitive_case" => "дидактических материалов" "field_nominative_case" => "дидактические материалы" "field_prepositional_case" => "дидактических материалах" ] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "didakticheskie materialy" ] #original: array:10 [ "id" => 6510 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Дидактические материалы" "field_book_type_foreign" => null "field_cases" => array:6 [ "field_accusative_case" => "дидактические материалы" "field_creative_case" => "дидактическими материалами" "field_dative_case" => "дидактическим материалам" "field_genitive_case" => "дидактических материалов" "field_nominative_case" => "дидактические материалы" "field_prepositional_case" => "дидактических материалах" ] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "didakticheskie materialy" ] #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 {#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: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 {#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" => 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 {#1048 #items: [] #escapeWhenCastingToString: false } "field_umk" => Illuminate\Database\Eloquent\Collection {#1049 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => 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:6 [ "id" => 38 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "базовый" "field_cases" => array:6 [ "field_accusative_case" => "базовый" "field_creative_case" => "базовым" "field_dative_case" => "базовому" "field_genitive_case" => "базового" "field_nominative_case" => "базовый" "field_prepositional_case" => "базовом" ] "field_translit" => "bazovyy" ] #original: array:6 [ "id" => 38 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "базовый" "field_cases" => array:6 [ "field_accusative_case" => "базовый" "field_creative_case" => "базовым" "field_dative_case" => "базовому" "field_genitive_case" => "базового" "field_nominative_case" => "базовый" "field_prepositional_case" => "базовом" ] "field_translit" => "bazovyy" ] #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_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1052 #items: array:1 [ 0 => App\Models\Term {#1053 #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" => 25 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "ФГОС (новый)" "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_color" => "красный" "field_end_year" => "2027" "field_start_year" => "2023" "field_translit" => "fgos" "field_type" => "новый" ] #original: array:10 [ "id" => 25 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "ФГОС (новый)" "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_color" => "красный" "field_end_year" => "2027" "field_start_year" => "2023" "field_translit" => "fgos" "field_type" => "новый" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_publication_number" => "3" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1054 #items: array:1 [ 0 => App\Models\Term {#1055 #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" => 34 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "переработанное" "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" => "pererabotannoe" ] #original: array:6 [ "id" => 34 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "переработанное" "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" => "pererabotannoe" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1056 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition_degree" => null "field_cover_description" => "изображена башня" "field_publication_year" => "2022" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное пособие" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "674" "field_priority" => null "field_default_folder" => "/fizika_09/maron-dm/" "field_isbn" => "978-5-09-111414-0" "field_cover" => array:1 [ 0 => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880" "alt" => "" "width" => "1888" "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" => "/9-klass/fizika/maron-didakticheskie-materialy" "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" => 45 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "белый" "field_cases" => array:6 [ "field_accusative_case" => "белый" "field_creative_case" => "белым" "field_dative_case" => "белому" "field_genitive_case" => "белого" "field_nominative_case" => "белый" "field_prepositional_case" => "белом" ] "field_translit" => "belyy" ] #original: array:6 [ "id" => 45 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "белый" "field_cases" => array:6 [ "field_accusative_case" => "белый" "field_creative_case" => "белым" "field_dative_case" => "белому" "field_genitive_case" => "белого" "field_nominative_case" => "белый" "field_prepositional_case" => "белом" ] "field_translit" => "belyy" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 380 "subject" => 556 "class_subject" => 493 ] ] #original: array:50 [ "id" => 894 "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 {#1030} "field_class" => Illuminate\Database\Eloquent\Collection {#1034} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1036} "field_author" => Illuminate\Database\Eloquent\Collection {#1038} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1041} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1042} "field_country" => Illuminate\Database\Eloquent\Collection {#1044} "field_city" => Illuminate\Database\Eloquent\Collection {#1046} "field_series" => Illuminate\Database\Eloquent\Collection {#1048} "field_umk" => Illuminate\Database\Eloquent\Collection {#1049} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1050} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1052} "field_publication_number" => "3" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1054} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1056} "field_under_the_edition_degree" => null "field_cover_description" => "изображена башня" "field_publication_year" => "2022" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное пособие" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "674" "field_priority" => null "field_default_folder" => "/fizika_09/maron-dm/" "field_isbn" => "978-5-09-111414-0" "field_cover" => array:1 [ 0 => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880" "alt" => "" "width" => "1888" "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" => "/9-klass/fizika/maron-didakticheskie-materialy" "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" => 380 "subject" => 556 "class_subject" => 493 ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1062 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1428174 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Самостоятельные работы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1023} "field_page_start" => "53" "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 {#333} "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:2 [ 0 => App\Models\Branch {#342} 1 => App\Models\Branch {#1064 #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" => 1428185 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "СР-11. Импульс тела. Закон сохранения импульса. Закон сохранения механической энергии" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1065 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "78" "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 {#1066 #items: array:1 [ 0 => App\Models\Book {#1033} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1067 #items: array:1 [ 0 => App\Models\Branch {#1068 #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" => 1428174 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Самостоятельные работы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1069 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "53" "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 {#1070 #items: array:1 [ 0 => App\Models\Book {#1071 #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 [ …50] #original: array:50 [ …50] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1102 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1428174 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Самостоятельные работы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1069} "field_page_start" => "53" "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 {#1070} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1102} ] #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" => 1428185 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "СР-11. Импульс тела. Закон сохранения импульса. Закон сохранения механической энергии" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1065} "field_page_start" => "78" "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 {#1066} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1067} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1103 #items: array:2 [ 0 => App\Models\Element {#1104 #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" => 1682983 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1105 #items: array:1 [ 0 => App\Models\Edition {#1106 #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" => 5992 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1107 #items: array:1 [ 0 => App\Models\Term {#1108 #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" => null "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 {#1109 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1110 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1111 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 5992 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1107} "field_content_type" => "free" "field_content_mode" => "text, image" "field_page_content_mode" => "image" "field_content_text_checked" => null "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 {#1109} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1110} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1111} "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" => "1428668" "type" => "task" ] "text" => "<p><strong>1.</strong> Мяч массой 100 г, имеющий скорость 20 м/с, ударяется о стенку. Найдите среднюю силу, действующую со стороны стенки на мяч, если мяч соприкасался со стенкой в течение 0,2 с. Считайте удар абсолютно упругим.</p><p><strong>2.</strong> Стрела выпущена из лука со скоростью 10 м/с под углом 45° к горизонту. Какова скорость стрелы на высоте 3,2 м? Сопротивлением воздуха пренебречь.</p>" "img" => array:1 [ 0 => array:5 [ "name" => "9-1.jpg" "alt" => null "width" => "1452" "height" => 483 "path" => "/media/fizika_09/maron-dm/0-cp11/9-1.webp?ts=1758964239" ] ] ] #original: array:7 [ "id" => 1682983 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1105} "task" => array:2 [ "refs" => "1428668" "type" => "task" ] "text" => "<p><strong>1.</strong> Мяч массой 100 г, имеющий скорость 20 м/с, ударяется о стенку. Найдите среднюю силу, действующую со стороны стенки на мяч, если мяч соприкасался со стенкой в течение 0,2 с. Считайте удар абсолютно упругим.</p><p><strong>2.</strong> Стрела выпущена из лука со скоростью 10 м/с под углом 45° к горизонту. Какова скорость стрелы на высоте 3,2 м? Сопротивлением воздуха пренебречь.</p>" "img" => array:1 [ 0 => array:5 [ "name" => "9-1.jpg" "alt" => null "width" => "1452" "height" => 483 "path" => "/media/fizika_09/maron-dm/0-cp11/9-1.webp?ts=1758964239" ] ] ] #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 {#1112 #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" => 1730685 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1113 #items: array:1 [ 0 => App\Models\Edition {#1114 #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" => 6313 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1115 #items: array:1 [ 0 => App\Models\Term {#1116 #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" => null "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 {#1117 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1118 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1119 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 6313 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1115} "field_content_type" => "free" "field_content_mode" => "text" "field_page_content_mode" => "" "field_content_text_checked" => null "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 {#1117} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1118} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1119} "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" => "1428668" "type" => "task" ] "text" => "<p><strong>1.</strong> <strong>Дано:</strong></p><p>Масса мяча, $m = 100 \text{ г}$<br>$m = 0,1 \text{ кг}$<br>Начальная скорость мяча, $v_1 = 20 \text{ м/с}$<br>Время соприкосновения, $\Delta t = 0,2 \text{ с}$<br>Удар абсолютно упругий</p><p><strong>Найти:</strong></p><p>Среднюю силу, действующую на мяч, $F_{ср}$ - ?</p><p><strong>Решение:</strong></p><p>Согласно второму закону Ньютона в импульсной форме, изменение импульса тела равно импульсу силы, действующей на него:<br>$\Delta p = F_{ср} \cdot \Delta t$<br>Отсюда средняя сила равна $F_{ср} = \frac{\Delta p}{\Delta t}$.<br>Изменение импульса мяча равно разности его конечного и начального импульсов: $\Delta p = p_2 - p_1$.<br>Импульс тела определяется как $p = m \cdot v$.<br>Выберем ось $\text{Ox}$, перпендикулярную стенке и направленную от неё. Тогда начальная скорость мяча, направленная к стенке, будет иметь отрицательную проекцию: $v_{1x} = -20 \text{ м/с}$.<br>Поскольку удар абсолютно упругий, мяч отскакивает от стенки со скоростью, равной по модулю начальной, но противоположной по направлению. Следовательно, конечная скорость мяча будет иметь положительную проекцию: $v_{2x} = 20 \text{ м/с}$.<br>Найдем изменение импульса:<br>$\Delta p = m \cdot v_{2x} - m \cdot v_{1x} = m(v_{2x} - v_{1x}) = 0,1 \text{ кг} \cdot (20 \text{ м/с} - (-20 \text{ м/с})) = 0,1 \text{ кг} \cdot 40 \text{ м/с} = 4 \text{ кг}\cdot\text{м/с}$.<br>Теперь можем найти среднюю силу:<br>$F_{ср} = \frac{\Delta p}{\Delta t} = \frac{4 \text{ кг}\cdot\text{м/с}}{0,2 \text{ с}} = 20 \text{ Н}$.</p><p><strong>Ответ:</strong> Средняя сила, действующая на мяч со стороны стенки, равна 20 Н.</p><p><strong>2.</strong> <strong>Дано:</strong></p><p>Начальная скорость стрелы, $v_0 = 10 \text{ м/с}$<br>Угол к горизонту, $\alpha = 45^\circ$<br>Высота, $h = 3,2 \text{ м}$<br>Ускорение свободного падения, $g \approx 9,8 \text{ м/с}^2$</p><p><strong>Найти:</strong></p><p>Скорость стрелы на высоте $\text{h}$, $\text{v}$ - ?</p><p><strong>Решение:</strong></p><p>Для решения задачи сначала необходимо проверить, может ли стрела с заданными начальными условиями достигнуть указанной высоты. Максимальная высота подъема тела, брошенного под углом к горизонту, определяется начальной вертикальной составляющей скорости $v_{0y}$.<br>Вертикальная составляющая начальной скорости: $v_{0y} = v_0 \cdot \sin\alpha$.<br>Максимальная высота подъема $H_{max}$ находится по формуле:<br>$H_{max} = \frac{v_{0y}^2}{2g} = \frac{(v_0 \cdot \sin\alpha)^2}{2g}$.<br>Подставим числовые значения, принимая $g \approx 9,8 \text{ м/с}^2$:<br>$H_{max} = \frac{(10 \text{ м/с} \cdot \sin 45^\circ)^2}{2 \cdot 9,8 \text{ м/с}^2} = \frac{(10 \cdot \frac{\sqrt{2}}{2})^2}{19,6} = \frac{100 \cdot \frac{2}{4}}{19,6} = \frac{50}{19,6} \approx 2,55 \text{ м}$.<br>Даже если для упрощения расчетов принять $g = 10 \text{ м/с}^2$, максимальная высота будет $H_{max} = \frac{50}{2 \cdot 10} = 2,5 \text{ м}$.<br>Поскольку максимальная высота подъема стрелы ($H_{max} \approx 2,55 \text{ м}$) меньше, чем заданная в условии высота ($h = 3,2 \text{ м}$), стрела не сможет достичь этой высоты.<br>Следовательно, задача в предложенной постановке не имеет физического решения.</p><p><strong>Ответ:</strong> При заданных начальных условиях стрела не может достигнуть высоты 3,2 м, поэтому задача не имеет решения.</p>" ] #original: array:6 [ "id" => 1730685 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1113} "task" => array:2 [ "refs" => "1428668" "type" => "task" ] "text" => "<p><strong>1.</strong> <strong>Дано:</strong></p><p>Масса мяча, $m = 100 \text{ г}$<br>$m = 0,1 \text{ кг}$<br>Начальная скорость мяча, $v_1 = 20 \text{ м/с}$<br>Время соприкосновения, $\Delta t = 0,2 \text{ с}$<br>Удар абсолютно упругий</p><p><strong>Найти:</strong></p><p>Среднюю силу, действующую на мяч, $F_{ср}$ - ?</p><p><strong>Решение:</strong></p><p>Согласно второму закону Ньютона в импульсной форме, изменение импульса тела равно импульсу силы, действующей на него:<br>$\Delta p = F_{ср} \cdot \Delta t$<br>Отсюда средняя сила равна $F_{ср} = \frac{\Delta p}{\Delta t}$.<br>Изменение импульса мяча равно разности его конечного и начального импульсов: $\Delta p = p_2 - p_1$.<br>Импульс тела определяется как $p = m \cdot v$.<br>Выберем ось $\text{Ox}$, перпендикулярную стенке и направленную от неё. Тогда начальная скорость мяча, направленная к стенке, будет иметь отрицательную проекцию: $v_{1x} = -20 \text{ м/с}$.<br>Поскольку удар абсолютно упругий, мяч отскакивает от стенки со скоростью, равной по модулю начальной, но противоположной по направлению. Следовательно, конечная скорость мяча будет иметь положительную проекцию: $v_{2x} = 20 \text{ м/с}$.<br>Найдем изменение импульса:<br>$\Delta p = m \cdot v_{2x} - m \cdot v_{1x} = m(v_{2x} - v_{1x}) = 0,1 \text{ кг} \cdot (20 \text{ м/с} - (-20 \text{ м/с})) = 0,1 \text{ кг} \cdot 40 \text{ м/с} = 4 \text{ кг}\cdot\text{м/с}$.<br>Теперь можем найти среднюю силу:<br>$F_{ср} = \frac{\Delta p}{\Delta t} = \frac{4 \text{ кг}\cdot\text{м/с}}{0,2 \text{ с}} = 20 \text{ Н}$.</p><p><strong>Ответ:</strong> Средняя сила, действующая на мяч со стороны стенки, равна 20 Н.</p><p><strong>2.</strong> <strong>Дано:</strong></p><p>Начальная скорость стрелы, $v_0 = 10 \text{ м/с}$<br>Угол к горизонту, $\alpha = 45^\circ$<br>Высота, $h = 3,2 \text{ м}$<br>Ускорение свободного падения, $g \approx 9,8 \text{ м/с}^2$</p><p><strong>Найти:</strong></p><p>Скорость стрелы на высоте $\text{h}$, $\text{v}$ - ?</p><p><strong>Решение:</strong></p><p>Для решения задачи сначала необходимо проверить, может ли стрела с заданными начальными условиями достигнуть указанной высоты. Максимальная высота подъема тела, брошенного под углом к горизонту, определяется начальной вертикальной составляющей скорости $v_{0y}$.<br>Вертикальная составляющая начальной скорости: $v_{0y} = v_0 \cdot \sin\alpha$.<br>Максимальная высота подъема $H_{max}$ находится по формуле:<br>$H_{max} = \frac{v_{0y}^2}{2g} = \frac{(v_0 \cdot \sin\alpha)^2}{2g}$.<br>Подставим числовые значения, принимая $g \approx 9,8 \text{ м/с}^2$:<br>$H_{max} = \frac{(10 \text{ м/с} \cdot \sin 45^\circ)^2}{2 \cdot 9,8 \text{ м/с}^2} = \frac{(10 \cdot \frac{\sqrt{2}}{2})^2}{19,6} = \frac{100 \cdot \frac{2}{4}}{19,6} = \frac{50}{19,6} \approx 2,55 \text{ м}$.<br>Даже если для упрощения расчетов принять $g = 10 \text{ м/с}^2$, максимальная высота будет $H_{max} = \frac{50}{2 \cdot 10} = 2,5 \text{ м}$.<br>Поскольку максимальная высота подъема стрелы ($H_{max} \approx 2,55 \text{ м}$) меньше, чем заданная в условии высота ($h = 3,2 \text{ м}$), стрела не сможет достичь этой высоты.<br>Следовательно, задача в предложенной постановке не имеет физического решения.</p><p><strong>Ответ:</strong> При заданных начальных условиях стрела не может достигнуть высоты 3,2 м, поэтому задача не имеет решения.</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" => "1428669" "type" => "task" ] "previous" => array:2 [ "refs" => "1428667" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1120 #items: array:1 [ 0 => App\Models\Book {#1033} ] #escapeWhenCastingToString: false } "page" => Illuminate\Database\Eloquent\Collection {#1144 #items: array:1 [ 0 => App\Models\BookPage {#1143 #connection: "mysql" #table: "book_pages" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] 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{#1163} "field_umk" => Illuminate\Database\Eloquent\Collection {#1164} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1165} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1167} "field_publication_number" => "3" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1169} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1171} "field_under_the_edition_degree" => null "field_cover_description" => "изображена башня" "field_publication_year" => "2022" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное пособие" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "674" "field_priority" => null "field_default_folder" => "/fizika_09/maron-dm/" "field_isbn" => "978-5-09-111414-0" "field_cover" => array:1 [ 0 => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880" "alt" => "" "width" => "1888" "height" => "2427" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1172} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1173} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1174} "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1175} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 380 "subject" => 556 "class_subject" => 493 ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "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 {#1177 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1188 #items: array:1 [ 0 => App\Models\Element {#1187 #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" => 1683638 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1197 #items: array:1 [ 0 => App\Models\Edition {#1189 …30} ] #escapeWhenCastingToString: false } "book_page" => array:2 [ "refs" => "1428971" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "80-1.jpg" "alt" => null "width" => "1577" "height" => 2519 "path" => "/media/fizika_09/maron-dm/0-1/80-1.webp?ts=1758964766" ] ] ] #original: array:6 [ "id" => 1683638 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1197} "book_page" => array:2 [ "refs" => "1428971" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "80-1.jpg" "alt" => null "width" => "1577" "height" => 2519 "path" => "/media/fizika_09/maron-dm/0-1/80-1.webp?ts=1758964766" ] ] ] #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" => "1428972" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1428970" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1384 #items: array:5 [ 0 => App\Models\Task {#1396 #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" => 1428668 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "80" "field_page_end" => null "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp11-9" "field_display_title" => "Вариант 9" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1397 #items: [] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1398 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1436 #items: array:1 [ 0 => App\Models\Branch {#1399 …30} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1540 #items: array:2 [ 0 => App\Models\Branch {#1434 …30} 1 => App\Models\Branch {#1470 …30} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1557 #items: array:2 [ 0 => App\Models\Element {#1542 …30} 1 => App\Models\Element {#1549 …30} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1428669" "type" => "task" ] "previous" => array:2 [ "refs" => "1428667" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1559 #items: array:1 [ 0 => App\Models\Book {#1146} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1428971" "type" => "book_page" ] ] #original: array:24 [ "id" => 1428668 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "80" "field_page_end" => null "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp11-9" "field_display_title" => "Вариант 9" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1397} "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 {#1398} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1436} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1540} "content" => Illuminate\Database\Eloquent\Collection {#1557} "next" => array:2 [ "refs" => "1428669" "type" => "task" ] "previous" => array:2 [ "refs" => "1428667" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1559} "page" => array:2 [ "refs" => "1428971" "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 {#1558 #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" => 1428669 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "80" "field_page_end" => null "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp11-10" "field_display_title" => "Вариант 10" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1560 #items: [] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1561 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1562 #items: array:1 [ 0 => App\Models\Branch {#1434 …30} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1563 #items: array:2 [ 0 => App\Models\Branch {#1434 …30} 1 => App\Models\Branch {#1470 …30} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1580 #items: array:2 [ 0 => App\Models\Element {#1564 …30} 1 => App\Models\Element {#1572 …30} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1428670" "type" => "task" ] "previous" => array:2 [ "refs" => "1428668" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1582 #items: array:1 [ 0 => App\Models\Book {#1146} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1428971" "type" => "book_page" ] ] #original: array:24 [ "id" => 1428669 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "80" "field_page_end" => null "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp11-10" "field_display_title" => "Вариант 10" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1560} "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 {#1561} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1562} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1563} "content" => Illuminate\Database\Eloquent\Collection {#1580} "next" => array:2 [ "refs" => "1428670" "type" => "task" ] "previous" => array:2 [ "refs" => "1428668" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1582} "page" => array:2 [ "refs" => "1428971" "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 {#1581 #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" => 1428670 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "80" "field_page_end" => null "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp12-1" "field_display_title" => "Вариант 1" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1583 #items: [] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1584 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1585 #items: array:1 [ 0 => App\Models\Branch {#1434 …30} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1660 #items: array:2 [ 0 => App\Models\Branch {#1586 …30} 1 => App\Models\Branch {#1621 …30} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1677 #items: array:2 [ 0 => App\Models\Element {#1662 …30} 1 => App\Models\Element {#1669 …30} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1428671" "type" => "task" ] "previous" => array:2 [ "refs" => "1428669" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1679 #items: array:1 [ 0 => App\Models\Book {#1146} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1428971" "type" => "book_page" ] ] #original: array:24 [ "id" => 1428670 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "80" "field_page_end" => null "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp12-1" "field_display_title" => "Вариант 1" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1583} "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 {#1584} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1585} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1660} "content" => Illuminate\Database\Eloquent\Collection {#1677} "next" => array:2 [ "refs" => "1428671" "type" => "task" ] "previous" => array:2 [ "refs" => "1428669" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1679} "page" => array:2 [ "refs" => "1428971" "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 {#1678 #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" => 1428671 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "80" "field_page_end" => null "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp12-2" "field_display_title" => "Вариант 2" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1680 #items: [] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1681 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1682 #items: array:1 [ 0 => App\Models\Branch {#1586 …30} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1683 #items: array:2 [ 0 => App\Models\Branch {#1586 …30} 1 => App\Models\Branch {#1621 …30} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1700 #items: array:2 [ 0 => App\Models\Element {#1684 …30} 1 => App\Models\Element {#1692 …30} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1428672" "type" => "task" ] "previous" => array:2 [ "refs" => "1428670" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1702 #items: array:1 [ 0 => App\Models\Book {#1146} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1428971" "type" => "book_page" ] ] #original: array:24 [ "id" => 1428671 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "80" "field_page_end" => null "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp12-2" "field_display_title" => "Вариант 2" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1680} "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 {#1681} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1682} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1683} "content" => Illuminate\Database\Eloquent\Collection {#1700} "next" => array:2 [ "refs" => "1428672" "type" => "task" ] "previous" => array:2 [ "refs" => "1428670" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1702} "page" => array:2 [ "refs" => "1428971" "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 {#1701 #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" => 1428672 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "80" "field_page_end" => "81" "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp12-3" "field_display_title" => "Вариант 3" "field_outside_task" => "0" "field_task_type" => Illuminate\Database\Eloquent\Collection {#1703 #items: [] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1704 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1705 #items: array:1 [ 0 => App\Models\Branch {#1586 …30} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1706 #items: array:2 [ 0 => App\Models\Branch {#1586 …30} 1 => App\Models\Branch {#1621 …30} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1723 #items: array:2 [ 0 => App\Models\Element {#1707 …30} 1 => App\Models\Element {#1715 …30} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1428673" "type" => "task" ] "previous" => array:2 [ "refs" => "1428671" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1725 #items: array:1 [ 0 => App\Models\Book {#1146} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1428971" "type" => "book_page" ] ] #original: array:24 [ "id" => 1428672 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "80" "field_page_end" => "81" "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp12-3" "field_display_title" => "Вариант 3" "field_outside_task" => "0" "field_task_type" => Illuminate\Database\Eloquent\Collection {#1703} "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 {#1704} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1705} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1706} "content" => Illuminate\Database\Eloquent\Collection {#1723} "next" => array:2 [ "refs" => "1428673" "type" => "task" ] "previous" => array:2 [ "refs" => "1428671" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1725} "page" => array:2 [ "refs" => "1428971" "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" => 1428971 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "80" "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/page-80" "field_display_title" => "80" "field_folder" => "1" "field_image_name" => "80" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1145} "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1179} "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 {#1177} "content" => Illuminate\Database\Eloquent\Collection {#1188} "next" => array:2 [ "refs" => "1428972" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1428970" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1384} ] #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" => 1428668 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "80" "field_page_end" => null "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp11-9" "field_display_title" => "Вариант 9" "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 {#1029} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1026} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1063} "content" => Illuminate\Database\Eloquent\Collection {#1103} "next" => array:2 [ "refs" => "1428669" "type" => "task" ] "previous" => array:2 [ "refs" => "1428667" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1120} "page" => array:2 [ "refs" => "1428971" "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 => "*" ] }
Вариант 9 (с. 80)
Условие. Вариант 9 (с. 80)
скриншот условия
1. Мяч массой 100 г, имеющий скорость 20 м/с, ударяется о стенку. Найдите среднюю силу, действующую со стороны стенки на мяч, если мяч соприкасался со стенкой в течение 0,2 с. Считайте удар абсолютно упругим.
2. Стрела выпущена из лука со скоростью 10 м/с под углом 45° к горизонту. Какова скорость стрелы на высоте 3,2 м? Сопротивлением воздуха пренебречь.
Решение. Вариант 9 (с. 80)
1. Дано:
Масса мяча, $m = 100 \text{ г}$
$m = 0,1 \text{ кг}$
Начальная скорость мяча, $v_1 = 20 \text{ м/с}$
Время соприкосновения, $\Delta t = 0,2 \text{ с}$
Удар абсолютно упругий
Найти:
Среднюю силу, действующую на мяч, $F_{ср}$ - ?
Решение:
Согласно второму закону Ньютона в импульсной форме, изменение импульса тела равно импульсу силы, действующей на него:
$\Delta p = F_{ср} \cdot \Delta t$
Отсюда средняя сила равна $F_{ср} = \frac{\Delta p}{\Delta t}$.
Изменение импульса мяча равно разности его конечного и начального импульсов: $\Delta p = p_2 - p_1$.
Импульс тела определяется как $p = m \cdot v$.
Выберем ось $\text{Ox}$, перпендикулярную стенке и направленную от неё. Тогда начальная скорость мяча, направленная к стенке, будет иметь отрицательную проекцию: $v_{1x} = -20 \text{ м/с}$.
Поскольку удар абсолютно упругий, мяч отскакивает от стенки со скоростью, равной по модулю начальной, но противоположной по направлению. Следовательно, конечная скорость мяча будет иметь положительную проекцию: $v_{2x} = 20 \text{ м/с}$.
Найдем изменение импульса:
$\Delta p = m \cdot v_{2x} - m \cdot v_{1x} = m(v_{2x} - v_{1x}) = 0,1 \text{ кг} \cdot (20 \text{ м/с} - (-20 \text{ м/с})) = 0,1 \text{ кг} \cdot 40 \text{ м/с} = 4 \text{ кг}\cdot\text{м/с}$.
Теперь можем найти среднюю силу:
$F_{ср} = \frac{\Delta p}{\Delta t} = \frac{4 \text{ кг}\cdot\text{м/с}}{0,2 \text{ с}} = 20 \text{ Н}$.
Ответ: Средняя сила, действующая на мяч со стороны стенки, равна 20 Н.
2. Дано:
Начальная скорость стрелы, $v_0 = 10 \text{ м/с}$
Угол к горизонту, $\alpha = 45^\circ$
Высота, $h = 3,2 \text{ м}$
Ускорение свободного падения, $g \approx 9,8 \text{ м/с}^2$
Найти:
Скорость стрелы на высоте $\text{h}$, $\text{v}$ - ?
Решение:
Для решения задачи сначала необходимо проверить, может ли стрела с заданными начальными условиями достигнуть указанной высоты. Максимальная высота подъема тела, брошенного под углом к горизонту, определяется начальной вертикальной составляющей скорости $v_{0y}$.
Вертикальная составляющая начальной скорости: $v_{0y} = v_0 \cdot \sin\alpha$.
Максимальная высота подъема $H_{max}$ находится по формуле:
$H_{max} = \frac{v_{0y}^2}{2g} = \frac{(v_0 \cdot \sin\alpha)^2}{2g}$.
Подставим числовые значения, принимая $g \approx 9,8 \text{ м/с}^2$:
$H_{max} = \frac{(10 \text{ м/с} \cdot \sin 45^\circ)^2}{2 \cdot 9,8 \text{ м/с}^2} = \frac{(10 \cdot \frac{\sqrt{2}}{2})^2}{19,6} = \frac{100 \cdot \frac{2}{4}}{19,6} = \frac{50}{19,6} \approx 2,55 \text{ м}$.
Даже если для упрощения расчетов принять $g = 10 \text{ м/с}^2$, максимальная высота будет $H_{max} = \frac{50}{2 \cdot 10} = 2,5 \text{ м}$.
Поскольку максимальная высота подъема стрелы ($H_{max} \approx 2,55 \text{ м}$) меньше, чем заданная в условии высота ($h = 3,2 \text{ м}$), стрела не сможет достичь этой высоты.
Следовательно, задача в предложенной постановке не имеет физического решения.
Ответ: При заданных начальных условиях стрела не может достигнуть высоты 3,2 м, поэтому задача не имеет решения.
Другие задания:
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