Номер 3, страница 40 - гдз по физике 9 класс дидактические материалы Марон, Марон

Физика, 9 класс Дидактические материалы, авторы: Марон Абрам Евсеевич, Марон Евгений Абрамович, издательство Просвещение, Москва, 2022, белого цвета

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

Тесты для самоконтроля. ТС-6. Импульс тела. Закон сохранения импульса. Закон сохранения механической энергии. Вариант 2 - номер 3, страница 40.

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                          #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 {#1169
                          #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 {#1170
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1171
                      #items: array:1 [
                        0 => App\Models\Term {#1172
                          #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 [ …6]
                            "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 [ …6]
                            "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 {#1173
                      #items: array:1 [
                        0 => App\Models\Term {#1174
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 9
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Россия"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "rossiya"
                          ]
                          #original: array:6 [
                            "id" => 9
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Россия"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "rossiya"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1175
                      #items: array:1 [
                        0 => App\Models\Term {#1176
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 15
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Москва"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "moskva"
                          ]
                          #original: array:6 [
                            "id" => 15
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Москва"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "moskva"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1177
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1178
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1179
                      #items: array:1 [
                        0 => App\Models\Term {#1180
                          #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 [ …6]
                            "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 [ …6]
                            "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 {#1181
                      #items: array:1 [
                        0 => App\Models\Term {#1182
                          #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 [ …6]
                            "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 [ …6]
                            "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 {#1183
                      #items: array:1 [
                        0 => App\Models\Term {#1184
                          #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 [ …6]
                            "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 [ …6]
                            "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 {#1185
                      #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 {#1186
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1187
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1188
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1189
                      #items: array:1 [
                        0 => App\Models\Term {#1190
                          #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 [ …6]
                            "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 [ …6]
                            "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 {#1162}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1163}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1165}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1167}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1170}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1171}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1173}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1175}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1177}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1178}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1179}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1181}
                    "field_publication_number" => "3"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1183}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1185}
                    "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 {#1186}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1187}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1188}
                    "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1189}
                    "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 {#1191
              #items: []
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1428143
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Тесты для самоконтроля"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1159}
            "field_page_start" => "26"
            "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 {#1193}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1191}
          ]
          #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 {#1192
          #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" => 1428159
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "ТС-6. Импульс тела. Закон сохранения импульса. Закон сохранения механической энергии"
            "field_branch_order" => null
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            "text" => "<p><strong>3.</strong> Мяч массой $300 \text{ г}$ движется с постоянной скоростью $2 \text{ м/с}$ и ударяется о стенку, после чего движется обратно с такой же по модулю скоростью. Определите изменение импульса мяча.</p><p><strong>А.</strong> $1,2 \text{ кг} \cdot \text{м/с}$</p><p><strong>Б.</strong> $2 \text{ кг} \cdot \text{м/с}$</p><p><strong>В.</strong> $4 \text{ кг} \cdot \text{м/с}$</p>"
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            "edition" => Illuminate\Database\Eloquent\Collection {#1129}
            "task" => array:2 [
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            "text" => "<p><strong>3.</strong> Мяч массой $300 \text{ г}$ движется с постоянной скоростью $2 \text{ м/с}$ и ударяется о стенку, после чего движется обратно с такой же по модулю скоростью. Определите изменение импульса мяча.</p><p><strong>А.</strong> $1,2 \text{ кг} \cdot \text{м/с}$</p><p><strong>Б.</strong> $2 \text{ кг} \cdot \text{м/с}$</p><p><strong>В.</strong> $4 \text{ кг} \cdot \text{м/с}$</p>"
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            "id" => 1731010
            "created_at" => "2026-04-10 13:58:26"
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            "edition" => Illuminate\Database\Eloquent\Collection {#1121
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                    "title" => "Решение"
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            "text" => "<p><strong>Дано:</strong></p><p>$m = 300 \text{ г}$</p><p>$v = 2 \text{ м/с}$</p><p>$m = 300 \text{ г} = 0.3 \text{ кг}$</p><p><strong>Найти:</strong></p><p>$\Delta p - ?$</p><p><strong>Решение:</strong></p><p>Импульс тела является векторной величиной и вычисляется по формуле:</p><p>$\vec{p} = m \cdot \vec{v}$</p><p>где $\text{m}$ — масса тела, а $\vec{v}$ — его скорость.</p><p>Изменение импульса $\Delta \vec{p}$ — это разность между конечным импульсом $\vec{p_2}$ и начальным импульсом $\vec{p_1}$:</p><p>$\Delta \vec{p} = \vec{p_2} - \vec{p_1}$</p><p>Для решения задачи выберем ось координат $\text{OX}$, направленную вдоль начального движения мяча. Тогда проекция начальной скорости на эту ось будет положительной: $v_1 = v = 2 \text{ м/с}$.</p><p>Начальный импульс мяча в проекции на ось $\text{OX}$ равен:</p><p>$p_1 = m \cdot v_1 = m \cdot v$</p><p>После удара мяч движется в противоположном направлении с той же по модулю скоростью. Значит, проекция конечной скорости на ось $\text{OX}$ будет отрицательной: $v_2 = -v = -2 \text{ м/с}$.</p><p>Конечный импульс мяча в проекции на ось $\text{OX}$ равен:</p><p>$p_2 = m \cdot v_2 = m \cdot (-v) = -m \cdot v$</p><p>Теперь найдем изменение импульса в проекции на ось $\text{OX}$:</p><p>$\Delta p = p_2 - p_1 = (-m \cdot v) - (m \cdot v) = -2mv$</p><p>Знак «минус» указывает на то, что вектор изменения импульса направлен против выбранной нами оси $\text{OX}$, то есть в сторону от стенки.</p><p>В задаче требуется найти величину (модуль) изменения импульса. Модуль изменения импульса равен:</p><p>$|\Delta p| = |-2mv| = 2mv$</p><p>Подставим числовые значения из условия, предварительно переведя массу в систему СИ (килограммы):</p><p>$m = 300 \text{ г} = 0.3 \text{ кг}$</p><p>$|\Delta p| = 2 \cdot 0.3 \text{ кг} \cdot 2 \text{ м/с} = 1.2 \text{ кг} \cdot \text{м/с}$</p><p><strong>Ответ:</strong> $1.2 \text{ кг} \cdot \text{м/с}$.</p>"
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            "text" => "<p><strong>Дано:</strong></p><p>$m = 300 \text{ г}$</p><p>$v = 2 \text{ м/с}$</p><p>$m = 300 \text{ г} = 0.3 \text{ кг}$</p><p><strong>Найти:</strong></p><p>$\Delta p - ?$</p><p><strong>Решение:</strong></p><p>Импульс тела является векторной величиной и вычисляется по формуле:</p><p>$\vec{p} = m \cdot \vec{v}$</p><p>где $\text{m}$ — масса тела, а $\vec{v}$ — его скорость.</p><p>Изменение импульса $\Delta \vec{p}$ — это разность между конечным импульсом $\vec{p_2}$ и начальным импульсом $\vec{p_1}$:</p><p>$\Delta \vec{p} = \vec{p_2} - \vec{p_1}$</p><p>Для решения задачи выберем ось координат $\text{OX}$, направленную вдоль начального движения мяча. Тогда проекция начальной скорости на эту ось будет положительной: $v_1 = v = 2 \text{ м/с}$.</p><p>Начальный импульс мяча в проекции на ось $\text{OX}$ равен:</p><p>$p_1 = m \cdot v_1 = m \cdot v$</p><p>После удара мяч движется в противоположном направлении с той же по модулю скоростью. Значит, проекция конечной скорости на ось $\text{OX}$ будет отрицательной: $v_2 = -v = -2 \text{ м/с}$.</p><p>Конечный импульс мяча в проекции на ось $\text{OX}$ равен:</p><p>$p_2 = m \cdot v_2 = m \cdot (-v) = -m \cdot v$</p><p>Теперь найдем изменение импульса в проекции на ось $\text{OX}$:</p><p>$\Delta p = p_2 - p_1 = (-m \cdot v) - (m \cdot v) = -2mv$</p><p>Знак «минус» указывает на то, что вектор изменения импульса направлен против выбранной нами оси $\text{OX}$, то есть в сторону от стенки.</p><p>В задаче требуется найти величину (модуль) изменения импульса. Модуль изменения импульса равен:</p><p>$|\Delta p| = |-2mv| = 2mv$</p><p>Подставим числовые значения из условия, предварительно переведя массу в систему СИ (килограммы):</p><p>$m = 300 \text{ г} = 0.3 \text{ кг}$</p><p>$|\Delta p| = 2 \cdot 0.3 \text{ кг} \cdot 2 \text{ м/с} = 1.2 \text{ кг} \cdot \text{м/с}$</p><p><strong>Ответ:</strong> $1.2 \text{ кг} \cdot \text{м/с}$.</p>"
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№3 (с. 40)
Условие. №3 (с. 40)
скриншот условия
Физика, 9 класс Дидактические материалы, авторы: Марон Абрам Евсеевич, Марон Евгений Абрамович, издательство Просвещение, Москва, 2022, белого цвета, страница 40, номер 3, Условие

3. Мяч массой $300 \text{ г}$ движется с постоянной скоростью $2 \text{ м/с}$ и ударяется о стенку, после чего движется обратно с такой же по модулю скоростью. Определите изменение импульса мяча.

А. $1,2 \text{ кг} \cdot \text{м/с}$

Б. $2 \text{ кг} \cdot \text{м/с}$

В. $4 \text{ кг} \cdot \text{м/с}$

Решение. №3 (с. 40)

Дано:

$m = 300 \text{ г}$

$v = 2 \text{ м/с}$

$m = 300 \text{ г} = 0.3 \text{ кг}$

Найти:

$\Delta p - ?$

Решение:

Импульс тела является векторной величиной и вычисляется по формуле:

$\vec{p} = m \cdot \vec{v}$

где $\text{m}$ — масса тела, а $\vec{v}$ — его скорость.

Изменение импульса $\Delta \vec{p}$ — это разность между конечным импульсом $\vec{p_2}$ и начальным импульсом $\vec{p_1}$:

$\Delta \vec{p} = \vec{p_2} - \vec{p_1}$

Для решения задачи выберем ось координат $\text{OX}$, направленную вдоль начального движения мяча. Тогда проекция начальной скорости на эту ось будет положительной: $v_1 = v = 2 \text{ м/с}$.

Начальный импульс мяча в проекции на ось $\text{OX}$ равен:

$p_1 = m \cdot v_1 = m \cdot v$

После удара мяч движется в противоположном направлении с той же по модулю скоростью. Значит, проекция конечной скорости на ось $\text{OX}$ будет отрицательной: $v_2 = -v = -2 \text{ м/с}$.

Конечный импульс мяча в проекции на ось $\text{OX}$ равен:

$p_2 = m \cdot v_2 = m \cdot (-v) = -m \cdot v$

Теперь найдем изменение импульса в проекции на ось $\text{OX}$:

$\Delta p = p_2 - p_1 = (-m \cdot v) - (m \cdot v) = -2mv$

Знак «минус» указывает на то, что вектор изменения импульса направлен против выбранной нами оси $\text{OX}$, то есть в сторону от стенки.

В задаче требуется найти величину (модуль) изменения импульса. Модуль изменения импульса равен:

$|\Delta p| = |-2mv| = 2mv$

Подставим числовые значения из условия, предварительно переведя массу в систему СИ (килограммы):

$m = 300 \text{ г} = 0.3 \text{ кг}$

$|\Delta p| = 2 \cdot 0.3 \text{ кг} \cdot 2 \text{ м/с} = 1.2 \text{ кг} \cdot \text{м/с}$

Ответ: $1.2 \text{ кг} \cdot \text{м/с}$.

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