gdz.top
Экспериментальное задание 13.1, страница 62 - гдз по физике 9 класс учебник Кабардин
Авторы: Кабардин О. Ф.
Тип: Учебник
Серия: архимед
Издательство: Просвещение
Год издания: 2014 - 2026
Цвет обложки: радужный
ISBN: 978-5-09-034177-6
Популярные ГДЗ в 9 классе
Законы сохранения. Параграф 13. Закон сохранения импульса. Задачи - страница 62.
App\Models\Task {#1030 // resources/views/models/task/default.blade.php #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1717009 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "62" "field_page_end" => "63" "field_url" => "/9-klass/fizika/kabardin-uchebnik/expzad13-1" "field_display_title" => "Экспериментальное задание 13.1" "field_outside_task" => "0" "field_task_type" => Illuminate\Database\Eloquent\Collection {#1036 #items: [] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1034 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1045 #items: array:1 [ 0 => App\Models\Branch {#1044 #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" => 1716753 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Законы сохранения" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1046 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "60" "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 {#1078 #items: array:1 [ 0 => App\Models\Book {#1047 #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" => 862 "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 {#1049 #items: array:1 [ 0 => App\Models\Term {#1048 #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 {#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" => 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 {#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: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 {#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:12 [ "id" => 4514 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Кабардин" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Олег" "field_patronymic" => "Фёдорович" "field_surname_rp" => "Кабардина" ] #original: array:12 [ "id" => 4514 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Кабардин" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Олег" "field_patronymic" => "Фёдорович" "field_surname_rp" => "Кабардина" ] #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 {#1056 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1057 #items: array:1 [ 0 => App\Models\Term {#1058 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ "id" => 6671 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Учебник" "field_book_type_foreign" => null "field_cases" => array:6 [ "field_accusative_case" => "учебник" "field_creative_case" => "учебником" "field_dative_case" => "учебнику" "field_genitive_case" => "учебника" "field_nominative_case" => "учебник" "field_prepositional_case" => "учебнике" ] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "uchebnik" ] #original: array:10 [ "id" => 6671 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Учебник" "field_book_type_foreign" => null "field_cases" => array:6 [ "field_accusative_case" => "учебник" "field_creative_case" => "учебником" "field_dative_case" => "учебнику" "field_genitive_case" => "учебника" "field_nominative_case" => "учебник" "field_prepositional_case" => "учебнике" ] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "uchebnik" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_country" => Illuminate\Database\Eloquent\Collection {#1059 #items: array:1 [ 0 => App\Models\Term {#1060 #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 {#1061 #items: array:1 [ 0 => App\Models\Term {#1062 #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 {#1063 #items: array:1 [ 0 => App\Models\Term {#1064 #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" => 4702 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "архимед" "field_cases" => null "field_foreign_lang_series" => null "field_transcription_eng" => null "field_translit" => "arkhimed" ] #original: array:8 [ "id" => 4702 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "архимед" "field_cases" => null "field_foreign_lang_series" => null "field_transcription_eng" => null "field_translit" => "arkhimed" ] #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 {#1065 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1066 #items: [] #escapeWhenCastingToString: false } "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1067 #items: array:1 [ 0 => App\Models\Term {#1068 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ "id" => 6706 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "ФГОС (старый)" "field_cases" => array:6 [ "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" => null "field_end_year" => "2022" "field_start_year" => "2019" "field_translit" => "fgos-old" "field_type" => null ] #original: array:10 [ "id" => 6706 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "ФГОС (старый)" "field_cases" => array:6 [ "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" => null "field_end_year" => "2022" "field_start_year" => "2019" "field_translit" => "fgos-old" "field_type" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_publication_number" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1069 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1070 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2014" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебник для общеобразовательных организаций" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "471" "field_priority" => null "field_default_folder" => "/fizika_09/kabardin-u/" "field_isbn" => "978-5-09-034177-6" "field_cover" => array:1 [ 0 => "/media/fizika_09/kabardin-u/covers/cover1.webp?ts=1763648103" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_09/kabardin-u/covers/cover1.webp?ts=1763648103" "alt" => "" "width" => "2286" "height" => "3086" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1071 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1072 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1073 #items: [] #escapeWhenCastingToString: false } "field_url" => "/9-klass/fizika/kabardin-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1074 #items: array:1 [ 0 => App\Models\Term {#1075 #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" => 55 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "радужный" "field_cases" => array:6 [ "field_accusative_case" => "радужный" "field_creative_case" => "радужным" "field_dative_case" => "радужному" "field_genitive_case" => "радужного" "field_nominative_case" => "радужный" "field_prepositional_case" => "радужном" ] "field_translit" => "raduzhnyy" ] #original: array:6 [ "id" => 55 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "радужный" "field_cases" => array:6 [ "field_accusative_case" => "радужный" "field_creative_case" => "радужным" "field_dative_case" => "радужному" "field_genitive_case" => "радужного" "field_nominative_case" => "радужный" "field_prepositional_case" => "радужном" ] "field_translit" => "raduzhnyy" ] #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" => 862 "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 {#1049} "field_class" => Illuminate\Database\Eloquent\Collection {#1050} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1052} "field_author" => Illuminate\Database\Eloquent\Collection {#1054} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1056} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1057} "field_country" => Illuminate\Database\Eloquent\Collection {#1059} "field_city" => Illuminate\Database\Eloquent\Collection {#1061} "field_series" => Illuminate\Database\Eloquent\Collection {#1063} "field_umk" => Illuminate\Database\Eloquent\Collection {#1065} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1066} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1067} "field_publication_number" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1069} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1070} "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2014" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебник для общеобразовательных организаций" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "471" "field_priority" => null "field_default_folder" => "/fizika_09/kabardin-u/" "field_isbn" => "978-5-09-034177-6" "field_cover" => array:1 [ 0 => "/media/fizika_09/kabardin-u/covers/cover1.webp?ts=1763648103" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_09/kabardin-u/covers/cover1.webp?ts=1763648103" "alt" => "" "width" => "2286" "height" => "3086" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1071} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1072} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1073} "field_url" => "/9-klass/fizika/kabardin-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1074} "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 {#1076 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1716753 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Законы сохранения" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1046} "field_page_start" => "60" "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 {#1078} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1076} ] #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 {#1105 #items: array:3 [ 0 => App\Models\Branch {#1115 #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" => 1716753 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Законы сохранения" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1116 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "60" "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 {#1117 #items: array:1 [ 0 => App\Models\Book {#1047} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1118 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1716753 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Законы сохранения" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1116} "field_page_start" => "60" "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 {#1117} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1118} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Branch {#1119 #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" => 1716754 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Закон сохранения импульса" "field_branch_order" => "13" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1123 #items: array:1 [ 0 => App\Models\Term {#1120 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:7 [ "id" => 32 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Параграф" "field_cases" => array:6 [ "field_accusative_case" => "Параграф" "field_creative_case" => "Параграфом" "field_dative_case" => "Параграфу" "field_genitive_case" => "Параграфа" "field_nominative_case" => "Параграф" "field_prepositional_case" => "Параграфе" ] "field_page_check_not_needed" => null "field_short_name" => "§" ] #original: array:7 [ "id" => 32 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Параграф" "field_cases" => array:6 [ "field_accusative_case" => "Параграф" "field_creative_case" => "Параграфом" "field_dative_case" => "Параграфу" "field_genitive_case" => "Параграфа" "field_nominative_case" => "Параграф" "field_prepositional_case" => "Параграфе" ] "field_page_check_not_needed" => null "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_page_start" => "60" "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 {#1122 #items: array:1 [ 0 => App\Models\Book {#1047} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1121 #items: array:1 [ 0 => App\Models\Branch {#1044} ] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1716754 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Закон сохранения импульса" "field_branch_order" => "13" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1123} "field_page_start" => "60" "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 {#1122} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1121} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 2 => App\Models\Branch {#1124 #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" => 1716756 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Задачи" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1125 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "61" "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 {#1126 #items: array:1 [ 0 => App\Models\Book {#1047} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1135 #items: array:1 [ 0 => App\Models\Branch {#1134 #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" => 1716754 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Закон сохранения импульса" "field_branch_order" => "13" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1136 #items: array:1 [ 0 => App\Models\Term {#1120} ] #escapeWhenCastingToString: false } "field_page_start" => "60" "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 {#1137 #items: array:1 [ 0 => App\Models\Book {#1047} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1138 #items: array:1 [ 0 => App\Models\Branch {#1044} ] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1716754 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Закон сохранения импульса" "field_branch_order" => "13" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1136} "field_page_start" => "60" "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 {#1137} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1138} ] #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" => 1716756 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Задачи" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1125} "field_page_start" => "61" "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 {#1126} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1135} ] #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 {#1098 #items: array:1 [ 0 => App\Models\Element {#1099 #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" => 1859383 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1088 #items: array:1 [ 0 => App\Models\Edition {#1097 #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" => 7243 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1094 #items: array:1 [ 0 => App\Models\Term {#1096 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array: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_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 {#1095 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1093 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1092 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 7243 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1094} "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 {#1095} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1093} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1092} "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" => "1717009" "type" => "task" ] "text" => "<p><strong>Экспериментальное задание 13.1</strong></p><p><strong>Работаем в группе</strong></p><p><strong>Измерение скорости истечения струи газа из ракеты</strong></p><p><em>Оборудование:</em> пластмассовая бутылка, весы с разновесом, пробка резиновая с отверстием, насос, манометр, измерительная лента.</p><p><em><strong>Измерьте скорость истечения воздуха из бутылки по реактивному действию газовой струи.</strong></em></p><p><i>Содержание работы</i></p><p>В качестве ракеты в опыте используется пластмассовая бутылка. В горлышко бутылки вставляют резиновую пробку с трубкой внутри и через шланги соединяют с насосом и манометром. Пробку закрепляют в лапке штатива так, чтобы бутылка была расположена вертикально (рис. 13.4).</p><p>Для оценки скорости $\text{u}$ истечения газовой струи из ракеты можно включить её двигатель на короткое время и измерить скорость $\text{v}$ движения ракеты массой $\text{M}$, которую она приобретает в результате выбрасывания газов массой $\text{m}$. По закону сохранения импульса $M\vec{v} + m\vec{u} = 0$, $u = \frac{Mv}{m}$. (13.13)</p><p>Накачивая воздух в бутылку, постепенно повышают давление в ней. Когда бутылка-ракета взлетает вертикально вверх (рис. 13.5), воздух выходит из неё до выравнивания давления в бутылке с атмосферным давлением.</p><p>Массу $\text{m}$ выходящего из ракеты воздуха можно найти по известному объёму $\text{V}$ бутылки и измеренному избыточному давлению $\Delta p$ воздуха в ней в момент старта ракеты.</p><p><i>Порядок выполнения задания</i></p><ol><li>Определите массу $\text{M}$ пластмассовой бутылки взвешиванием на весах.</li><li>Вставьте в горлышко бутылки пробку, соединённую с манометром и насосом. Закрепите пробку в штативе таким образом, чтобы ракета взлетала вертикально вверх.</li><li>Накачивайте воздух в бутылку до взлёта бутылки-ракеты. При этом один участник эксперимента непрерывно должен следить за показаниями манометра и заметить избыточное давление $\Delta p$ при взлёте ракеты.</li></ol><p>Другой участник эксперимента должен заметить высоту подъёма ракеты и измерить эту высоту $\text{h}$.</p><ol start="4"><li>По известному объёму $\text{V}$ бутылки и измеренному избыточному давлению $\Delta p$ найдите массу $\text{m}$ вышедшего воздуха. Для вычисления плотности $\rho_1$ добавленного при накачивании воздуха используйте прямую пропорциональную связь давление газа с его плотностью: $\frac{\rho_1}{\rho_0} = \frac{\Delta p}{p_0}$, $\rho_1 = \rho_0 \frac{\Delta p}{p_0}$. Плотность воздуха при нормальном давлении равна $\rho_0 = 1,2 \, \text{кг}/\text{м}^3$, $m = \rho_1 V = \rho_0 \frac{\Delta p}{p_0} V = 1,2 \frac{\Delta p}{p_0} V$.</li></ol><p>Рис. 13.4</p><ol start="5"><li>По высоте $\text{h}$ подъёма ракеты вычислите её начальную скорость: $v = \sqrt{2gh}$.</li><li>Подставив найденные значения массы $\text{M}$ бутылки, массы $\text{m}$ вышедшего воздуха и начальной скорости бутылки в уравнение (13.13), вычислите скорость $\text{u}$ истечения струи воздуха из ракеты. Результаты измерений и расчётов занесите в таблицу.</li></ol><p><strong>Таблица 13.1</strong></p><div class="table-wrap"><table style="border: 1px solid rgb(0, 0, 0);"><tbody><tr><th style="border: 1px solid rgb(0, 0, 0);">M, кг</th><th style="border: 1px solid rgb(0, 0, 0);">$\Delta$p, Па</th><th style="border: 1px solid rgb(0, 0, 0);">V, м$^3$</th><th style="border: 1px solid rgb(0, 0, 0);">m, кг</th><th style="border: 1px solid rgb(0, 0, 0);">h, м</th><th style="border: 1px solid rgb(0, 0, 0);">v, м/с</th><th style="border: 1px solid rgb(0, 0, 0);">u, м/с</th></tr><tr><td style="border: 1px solid rgb(0, 0, 0);"></td><td style="border: 1px solid rgb(0, 0, 0);"></td><td style="border: 1px solid rgb(0, 0, 0);"></td><td style="border: 1px solid rgb(0, 0, 0);"></td><td style="border: 1px solid rgb(0, 0, 0);"></td><td style="border: 1px solid rgb(0, 0, 0);"></td><td style="border: 1px solid rgb(0, 0, 0);"></td></tr></tbody></table></div><p><i>Дополнительное задание.</i> Исследуйте, зависит ли скорость истечения струи воздуха из ракеты от начального значения избыточного давления.</p><p>Рис. 13.5</p>" "img" => array:2 [ 0 => array:5 [ "name" => "1-1.jpg" "alt" => null "width" => "1796" "height" => 963 "path" => "/media/fizika_09/kabardin-u/0-expzad13/1-1.webp?ts=1763724989" ] 1 => array:5 [ "name" => "1-2.jpg" "alt" => null "width" => "2037" "height" => 1971 "path" => "/media/fizika_09/kabardin-u/0-expzad13/1-2.webp?ts=1763724989" ] ] ] #original: array:7 [ "id" => 1859383 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1088} "task" => array:2 [ "refs" => "1717009" "type" => "task" ] "text" => "<p><strong>Экспериментальное задание 13.1</strong></p><p><strong>Работаем в группе</strong></p><p><strong>Измерение скорости истечения струи газа из ракеты</strong></p><p><em>Оборудование:</em> пластмассовая бутылка, весы с разновесом, пробка резиновая с отверстием, насос, манометр, измерительная лента.</p><p><em><strong>Измерьте скорость истечения воздуха из бутылки по реактивному действию газовой струи.</strong></em></p><p><i>Содержание работы</i></p><p>В качестве ракеты в опыте используется пластмассовая бутылка. В горлышко бутылки вставляют резиновую пробку с трубкой внутри и через шланги соединяют с насосом и манометром. Пробку закрепляют в лапке штатива так, чтобы бутылка была расположена вертикально (рис. 13.4).</p><p>Для оценки скорости $\text{u}$ истечения газовой струи из ракеты можно включить её двигатель на короткое время и измерить скорость $\text{v}$ движения ракеты массой $\text{M}$, которую она приобретает в результате выбрасывания газов массой $\text{m}$. По закону сохранения импульса $M\vec{v} + m\vec{u} = 0$, $u = \frac{Mv}{m}$. (13.13)</p><p>Накачивая воздух в бутылку, постепенно повышают давление в ней. Когда бутылка-ракета взлетает вертикально вверх (рис. 13.5), воздух выходит из неё до выравнивания давления в бутылке с атмосферным давлением.</p><p>Массу $\text{m}$ выходящего из ракеты воздуха можно найти по известному объёму $\text{V}$ бутылки и измеренному избыточному давлению $\Delta p$ воздуха в ней в момент старта ракеты.</p><p><i>Порядок выполнения задания</i></p><ol><li>Определите массу $\text{M}$ пластмассовой бутылки взвешиванием на весах.</li><li>Вставьте в горлышко бутылки пробку, соединённую с манометром и насосом. Закрепите пробку в штативе таким образом, чтобы ракета взлетала вертикально вверх.</li><li>Накачивайте воздух в бутылку до взлёта бутылки-ракеты. При этом один участник эксперимента непрерывно должен следить за показаниями манометра и заметить избыточное давление $\Delta p$ при взлёте ракеты.</li></ol><p>Другой участник эксперимента должен заметить высоту подъёма ракеты и измерить эту высоту $\text{h}$.</p><ol start="4"><li>По известному объёму $\text{V}$ бутылки и измеренному избыточному давлению $\Delta p$ найдите массу $\text{m}$ вышедшего воздуха. Для вычисления плотности $\rho_1$ добавленного при накачивании воздуха используйте прямую пропорциональную связь давление газа с его плотностью: $\frac{\rho_1}{\rho_0} = \frac{\Delta p}{p_0}$, $\rho_1 = \rho_0 \frac{\Delta p}{p_0}$. Плотность воздуха при нормальном давлении равна $\rho_0 = 1,2 \, \text{кг}/\text{м}^3$, $m = \rho_1 V = \rho_0 \frac{\Delta p}{p_0} V = 1,2 \frac{\Delta p}{p_0} V$.</li></ol><p>Рис. 13.4</p><ol start="5"><li>По высоте $\text{h}$ подъёма ракеты вычислите её начальную скорость: $v = \sqrt{2gh}$.</li><li>Подставив найденные значения массы $\text{M}$ бутылки, массы $\text{m}$ вышедшего воздуха и начальной скорости бутылки в уравнение (13.13), вычислите скорость $\text{u}$ истечения струи воздуха из ракеты. Результаты измерений и расчётов занесите в таблицу.</li></ol><p><strong>Таблица 13.1</strong></p><div class="table-wrap"><table style="border: 1px solid rgb(0, 0, 0);"><tbody><tr><th style="border: 1px solid rgb(0, 0, 0);">M, кг</th><th style="border: 1px solid rgb(0, 0, 0);">$\Delta$p, Па</th><th style="border: 1px solid rgb(0, 0, 0);">V, м$^3$</th><th style="border: 1px solid rgb(0, 0, 0);">m, кг</th><th style="border: 1px solid rgb(0, 0, 0);">h, м</th><th style="border: 1px solid rgb(0, 0, 0);">v, м/с</th><th style="border: 1px solid rgb(0, 0, 0);">u, м/с</th></tr><tr><td style="border: 1px solid rgb(0, 0, 0);"></td><td style="border: 1px solid rgb(0, 0, 0);"></td><td style="border: 1px solid rgb(0, 0, 0);"></td><td style="border: 1px solid rgb(0, 0, 0);"></td><td style="border: 1px solid rgb(0, 0, 0);"></td><td style="border: 1px solid rgb(0, 0, 0);"></td><td style="border: 1px solid rgb(0, 0, 0);"></td></tr></tbody></table></div><p><i>Дополнительное задание.</i> Исследуйте, зависит ли скорость истечения струи воздуха из ракеты от начального значения избыточного давления.</p><p>Рис. 13.5</p>" "img" => array:2 [ 0 => array:5 [ "name" => "1-1.jpg" "alt" => null "width" => "1796" "height" => 963 "path" => "/media/fizika_09/kabardin-u/0-expzad13/1-1.webp?ts=1763724989" ] 1 => array:5 [ "name" => "1-2.jpg" "alt" => null "width" => "2037" "height" => 1971 "path" => "/media/fizika_09/kabardin-u/0-expzad13/1-2.webp?ts=1763724989" ] ] ] #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" => "1717010" "type" => "task" ] "previous" => array:2 [ "refs" => "1717008" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1037 #items: array:1 [ 0 => App\Models\Book {#1047} ] #escapeWhenCastingToString: false } "page" => Illuminate\Database\Eloquent\Collection {#1082 #items: array:1 [ 0 => App\Models\BookPage {#1081 #connection: "mysql" #table: "book_pages" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:21 [ "id" => 1717368 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "62" "field_url" => "/9-klass/fizika/kabardin-uchebnik/page-62" "field_display_title" => "62" "field_folder" => "1" "field_image_name" => "62" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1079 #items: [] #escapeWhenCastingToString: false } "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1080 #items: array:1 [ 0 => App\Models\Book {#1047} ] #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 {#1040 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1107 #items: array:1 [ 0 => App\Models\Element {#1109 #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" => 1859906 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1110 #items: array:1 [ 0 => App\Models\Edition {#1097} ] #escapeWhenCastingToString: false } "book_page" => array:2 [ "refs" => "1717368" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "62-1.jpg" "alt" => null "width" => "2267" "height" => 3103 "path" => "/media/fizika_09/kabardin-u/0-1/62-1.webp?ts=1763725638" ] ] ] #original: array:6 [ "id" => 1859906 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1110} "book_page" => array:2 [ "refs" => "1717368" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "62-1.jpg" "alt" => null "width" => "2267" "height" => 3103 "path" => "/media/fizika_09/kabardin-u/0-1/62-1.webp?ts=1763725638" ] ] ] #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" => "1717369" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1717367" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1039 #items: array:1 [ 0 => App\Models\Task {#1030} ] #escapeWhenCastingToString: false } ] #original: array:21 [ "id" => 1717368 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "62" "field_url" => "/9-klass/fizika/kabardin-uchebnik/page-62" "field_display_title" => "62" "field_folder" => "1" "field_image_name" => "62" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1079} "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1080} "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 {#1040} "content" => Illuminate\Database\Eloquent\Collection {#1107} "next" => array:2 [ "refs" => "1717369" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1717367" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1039} ] #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" => 1717009 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "62" "field_page_end" => "63" "field_url" => "/9-klass/fizika/kabardin-uchebnik/expzad13-1" "field_display_title" => "Экспериментальное задание 13.1" "field_outside_task" => "0" "field_task_type" => Illuminate\Database\Eloquent\Collection {#1036} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1034} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1045} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1105} "content" => Illuminate\Database\Eloquent\Collection {#1098} "next" => array:2 [ "refs" => "1717010" "type" => "task" ] "previous" => array:2 [ "refs" => "1717008" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1037} "page" => array:2 [ "refs" => "1717368" "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 => "*" ] }
Экспериментальное задание 13.1 (с. 62)
Условие. Экспериментальное задание 13.1 (с. 62)
скриншот условия
Экспериментальное задание 13.1
Работаем в группе
Измерение скорости истечения струи газа из ракеты
Оборудование: пластмассовая бутылка, весы с разновесом, пробка резиновая с отверстием, насос, манометр, измерительная лента.
Измерьте скорость истечения воздуха из бутылки по реактивному действию газовой струи.
Содержание работы
В качестве ракеты в опыте используется пластмассовая бутылка. В горлышко бутылки вставляют резиновую пробку с трубкой внутри и через шланги соединяют с насосом и манометром. Пробку закрепляют в лапке штатива так, чтобы бутылка была расположена вертикально (рис. 13.4).
Для оценки скорости $\text{u}$ истечения газовой струи из ракеты можно включить её двигатель на короткое время и измерить скорость $\text{v}$ движения ракеты массой $\text{M}$, которую она приобретает в результате выбрасывания газов массой $\text{m}$. По закону сохранения импульса $M\vec{v} + m\vec{u} = 0$, $u = \frac{Mv}{m}$. (13.13)
Накачивая воздух в бутылку, постепенно повышают давление в ней. Когда бутылка-ракета взлетает вертикально вверх (рис. 13.5), воздух выходит из неё до выравнивания давления в бутылке с атмосферным давлением.
Массу $\text{m}$ выходящего из ракеты воздуха можно найти по известному объёму $\text{V}$ бутылки и измеренному избыточному давлению $\Delta p$ воздуха в ней в момент старта ракеты.
Порядок выполнения задания
- Определите массу $\text{M}$ пластмассовой бутылки взвешиванием на весах.
- Вставьте в горлышко бутылки пробку, соединённую с манометром и насосом. Закрепите пробку в штативе таким образом, чтобы ракета взлетала вертикально вверх.
- Накачивайте воздух в бутылку до взлёта бутылки-ракеты. При этом один участник эксперимента непрерывно должен следить за показаниями манометра и заметить избыточное давление $\Delta p$ при взлёте ракеты.
Другой участник эксперимента должен заметить высоту подъёма ракеты и измерить эту высоту $\text{h}$.
- По известному объёму $\text{V}$ бутылки и измеренному избыточному давлению $\Delta p$ найдите массу $\text{m}$ вышедшего воздуха. Для вычисления плотности $\rho_1$ добавленного при накачивании воздуха используйте прямую пропорциональную связь давление газа с его плотностью: $\frac{\rho_1}{\rho_0} = \frac{\Delta p}{p_0}$, $\rho_1 = \rho_0 \frac{\Delta p}{p_0}$. Плотность воздуха при нормальном давлении равна $\rho_0 = 1,2 \, \text{кг}/\text{м}^3$, $m = \rho_1 V = \rho_0 \frac{\Delta p}{p_0} V = 1,2 \frac{\Delta p}{p_0} V$.
Рис. 13.4
- По высоте $\text{h}$ подъёма ракеты вычислите её начальную скорость: $v = \sqrt{2gh}$.
- Подставив найденные значения массы $\text{M}$ бутылки, массы $\text{m}$ вышедшего воздуха и начальной скорости бутылки в уравнение (13.13), вычислите скорость $\text{u}$ истечения струи воздуха из ракеты. Результаты измерений и расчётов занесите в таблицу.
Таблица 13.1
| M, кг | $\Delta$p, Па | V, м$^3$ | m, кг | h, м | v, м/с | u, м/с |
|---|---|---|---|---|---|---|
Дополнительное задание. Исследуйте, зависит ли скорость истечения струи воздуха из ракеты от начального значения избыточного давления.
Рис. 13.5
Решение не найдено
К сожалению, к этому заданию ещё не сделаны ответы.
Если вдруг Вы нашли ответ, пожалуйста, напишите его в
комментариях. Вы очень поможете остальным учащимся.
Другие задания:
Помогло решение? Оставьте отзыв в комментариях ниже.
Присоединяйтесь к Телеграм-группе @top_gdz
ПрисоединитьсяМы подготовили для вас ответ c подробным объяснением домашего задания по физике за 9 класс, для упражнения Экспериментальное задание 13.1 расположенного на странице 62 к учебнику серии архимед 2014 года издания для учащихся школ и гимназий.
Теперь на нашем сайте ГДЗ.ТОП вы всегда легко и бесплатно найдёте условие с правильным ответом на вопрос «Как решить ДЗ» и «Как сделать» задание по физике к упражнению Экспериментальное задание 13.1 (с. 62), автора: Кабардин (Олег Фёдорович), ФГОС (старый) учебного пособия издательства Просвещение.