Номер 35, страница 96, часть 1 - гдз по физике 9 класс учебник Генденштейн, Булатова

Авторы: Генденштейн Л. Э., Булатова А. А., Корнильев И. Н., Кошкина А. В.

Тип: Учебник

Издательство: Бином

Год издания: 2016 - 2026

Часть: 1

Цвет обложки: бирюзовый

ISBN: 978-5-9963-3062-1

Часть 1. Механические явления. Глава II. Динамика. Параграф 10. Силы тяготения - номер 35, страница 96.

App\Models\Task {#1030 // resources/views/models/task/default.blade.php
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                            "field_translit" => "binom"
                          ]
                          #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 {#1208
                      #items: array:4 [
                        0 => App\Models\Term {#1209
                          #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" => 4104
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Генденштейн"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Лев"
                            "field_patronymic" => "Элевич"
                            "field_surname_rp" => "Генденштейна"
                          ]
                          #original: array:12 [
                            "id" => 4104
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Генденштейн"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Лев"
                            "field_patronymic" => "Элевич"
                            "field_surname_rp" => "Генденштейна"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                        1 => App\Models\Term {#1210
                          #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" => 3936
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Булатова"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Альбина"
                            "field_patronymic" => "Александрова"
                            "field_surname_rp" => null
                          ]
                          #original: array:12 [
                            "id" => 3936
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Булатова"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Альбина"
                            "field_patronymic" => "Александрова"
                            "field_surname_rp" => null
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                        2 => App\Models\Term {#1211
                          #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" => 4679
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Корнильев"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Игорь"
                            "field_patronymic" => "Николаевич"
                            "field_surname_rp" => null
                          ]
                          #original: array:12 [
                            "id" => 4679
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Корнильев"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Игорь"
                            "field_patronymic" => "Николаевич"
                            "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 => "*"
                          ]
                        }
                        3 => App\Models\Term {#1212
                          #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" => 4758
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Кошкина"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Анжелика"
                            "field_patronymic" => "Васильевна"
                            "field_surname_rp" => null
                          ]
                          #original: array:12 [
                            "id" => 4758
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Кошкина"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Анжелика"
                            "field_patronymic" => "Васильевна"
                            "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 {#1213
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1214
                      #items: array:1 [
                        0 => App\Models\Term {#1215
                          #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 [ …6]
                            "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 [ …6]
                            "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 {#1216
                      #items: array:1 [
                        0 => App\Models\Term {#1217
                          #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 {#1218
                      #items: array:1 [
                        0 => App\Models\Term {#1219
                          #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 {#1220
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1221
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1222
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1223
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_publication_number" => null
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1224
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1225
                      #items: array:1 [
                        0 => App\Models\Term {#1226
                          #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" => 5395
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Орлов"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Владимир"
                            "field_patronymic" => "Алексеевич"
                            "field_surname_rp" => "Орлова"
                          ]
                          #original: array:12 [
                            "id" => 5395
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Орлов"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Владимир"
                            "field_patronymic" => "Алексеевич"
                            "field_surname_rp" => "Орлова"
                          ]
                          #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_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2016"
                    "field_publication_year_until" => null
                    "field_part" => "1, 2"
                    "field_part_writing" => "Часть"
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное издание"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "1111"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_09/gendenshtejn-u/"
                    "field_isbn" => "978-5-9963-3062-1"
                    "field_cover" => array:2 [
                      0 => "/media/fizika_09/gendenshtejn-u/covers/cover1.webp?ts=1759256052"
                      1 => "/media/fizika_09/gendenshtejn-u/covers/cover2.webp?ts=1759256052"
                    ]
                    "field_cover_alts" => array:2 [
                      0 => ""
                      1 => ""
                    ]
                    "field_covers" => array:2 [
                      0 => array:4 [
                        "path" => "/media/fizika_09/gendenshtejn-u/covers/cover1.webp?ts=1759256052"
                        "alt" => ""
                        "width" => "1863"
                        "height" => "2813"
                      ]
                      1 => array:4 [
                        "path" => "/media/fizika_09/gendenshtejn-u/covers/cover2.webp?ts=1759256052"
                        "alt" => ""
                        "width" => "1863"
                        "height" => "2809"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1227
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1228
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1229
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1230
                      #items: array:1 [
                        0 => App\Models\Term {#1231
                          #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" => 6978
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "бирюзовый"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "biruzovyy"
                          ]
                          #original: array:6 [
                            "id" => 6978
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "бирюзовый"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "biruzovyy"
                          ]
                          #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" => 2980
                    "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 {#1203}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1204}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1206}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1208}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1213}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1214}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1216}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1218}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1220}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1221}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1222}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1223}
                    "field_publication_number" => null
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1224}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1225}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2016"
                    "field_publication_year_until" => null
                    "field_part" => "1, 2"
                    "field_part_writing" => "Часть"
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное издание"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "1111"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_09/gendenshtejn-u/"
                    "field_isbn" => "978-5-9963-3062-1"
                    "field_cover" => array:2 [
                      0 => "/media/fizika_09/gendenshtejn-u/covers/cover1.webp?ts=1759256052"
                      1 => "/media/fizika_09/gendenshtejn-u/covers/cover2.webp?ts=1759256052"
                    ]
                    "field_cover_alts" => array:2 [
                      0 => ""
                      1 => ""
                    ]
                    "field_covers" => array:2 [
                      0 => array:4 [
                        "path" => "/media/fizika_09/gendenshtejn-u/covers/cover1.webp?ts=1759256052"
                        "alt" => ""
                        "width" => "1863"
                        "height" => "2813"
                      ]
                      1 => array:4 [
                        "path" => "/media/fizika_09/gendenshtejn-u/covers/cover2.webp?ts=1759256052"
                        "alt" => ""
                        "width" => "1863"
                        "height" => "2809"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1227}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1228}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1229}
                    "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1230}
                    "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 {#1232
              #items: []
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1433206
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => null
            "field_branch_order" => "1"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1202}
            "field_page_start" => "6"
            "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 {#1234}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1232}
          ]
          #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 {#1233
          #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" => 1433207
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Механические явления"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1235
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "6"
            "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 {#1236
              #items: array:1 [
                0 => App\Models\Book {#1201}
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1237
              #items: array:1 [
                0 => App\Models\Branch {#1034}
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1433207
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Механические явления"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1235}
            "field_page_start" => "6"
            "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 {#1236}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1237}
          ]
          #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 {#1238
          #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" => 1433214
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Динамика"
            "field_branch_order" => "II"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1242
              #items: array:1 [
                0 => App\Models\Term {#1239
                  #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" => 29
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Глава"
                    "field_cases" => array:6 [ …6]
                    "field_page_check_not_needed" => null
                    "field_short_name" => null
                  ]
                  #original: array:7 [
                    "id" => 29
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Глава"
                    "field_cases" => array:6 [ …6]
                    "field_page_check_not_needed" => null
                    "field_short_name" => 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_page_start" => "59"
            "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 {#1241
              #items: array:1 [
                0 => App\Models\Book {#1201}
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1250
              #items: array:1 [
                0 => App\Models\Branch {#1249
                  #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" => 1433207
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Механические явления"
                    "field_branch_order" => null
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1251 …2}
                    "field_page_start" => "6"
                    "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 {#1252 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1253 …2}
                  ]
                  #original: array:24 [
                    "id" => 1433207
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Механические явления"
                    "field_branch_order" => null
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1251 …2}
                    "field_page_start" => "6"
                    "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 {#1252 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1253 …2}
                  ]
                  #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" => 1433214
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Динамика"
            "field_branch_order" => "II"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1242}
            "field_page_start" => "59"
            "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 {#1241}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1250}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        3 => App\Models\Branch {#1243
          #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" => 1433219
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Силы тяготения"
            "field_branch_order" => "10"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1247
              #items: array:1 [
                0 => App\Models\Term {#1240
                  #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 [ …6]
                    "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 [ …6]
                    "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" => "89"
            "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 {#1244
              #items: array:1 [
                0 => App\Models\Book {#1201}
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1330
              #items: array:1 [
                0 => App\Models\Branch {#1246
                  #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" => 1433214
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Динамика"
                    "field_branch_order" => "II"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1254 …2}
                    "field_page_start" => "59"
                    "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 {#1255 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1287 …2}
                  ]
                  #original: array:24 [
                    "id" => 1433214
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Динамика"
                    "field_branch_order" => "II"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1254 …2}
                    "field_page_start" => "59"
                    "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 {#1255 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1287 …2}
                  ]
                  #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" => 1433219
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Силы тяготения"
            "field_branch_order" => "10"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1247}
            "field_page_start" => "89"
            "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 {#1244}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1330}
          ]
          #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 {#1110
      #items: array:2 [
        0 => App\Models\Element {#1184
          #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" => 1696354
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1174
              #items: array:1 [
                0 => App\Models\Edition {#1182
                  #connection: "mysql"
                  #table: "editions"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
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            "text" => "<p><strong>35.</strong> Почему запуск космических кораблей обычно осуществляют с запада на восток? Сделайте пояснительный рисунок.</p>"
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            "text" => "<p><strong>35.</strong> Почему запуск космических кораблей обычно осуществляют с запада на восток? Сделайте пояснительный рисунок.</p>"
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            "text" => "<p><strong>Решение</strong></p><p>Запуск космических кораблей обычно осуществляют с запада на восток, чтобы использовать энергию вращения Земли. Наша планета вращается вокруг своей оси с запада на восток, и все объекты на её поверхности, включая стартовую площадку, уже обладают определённой скоростью из-за этого вращения.</p><p>Когда ракета стартует в восточном направлении (по направлению вращения Земли), её скорость относительно Земли складывается со скоростью вращения самой Земли. Абсолютная скорость корабля в инерциальной системе отсчёта (связанной, например, со звездами) будет равна векторной сумме этих скоростей:</p><p>$\vec{v}_{абс} = \vec{v}_{ракеты} + \vec{v}_{вращ. Земли}$</p><p>где $\vec{v}_{абс}$ — абсолютная скорость корабля, $\vec{v}_{ракеты}$ — скорость корабля относительно Земли, а $\vec{v}_{вращ. Земли}$ — линейная скорость точки на поверхности Земли из-за её вращения.</p><p>Линейная скорость вращения Земли максимальна на экваторе и составляет около 465 м/с (или 1674 км/ч). Для вывода спутника на низкую околоземную орбиту требуется достичь первой космической скорости, которая составляет примерно 7,9 км/с. Таким образом, за счёт вращения Земли ракета получает "бесплатный" прирост скорости, что составляет около 6% от необходимой. Это позволяет значительно сэкономить топливо, что, в свою очередь, даёт возможность увеличить массу полезной нагрузки или снизить общую стоимость запуска.</p><p>Если бы запуск производился в западном направлении (против вращения Земли), то для достижения той же орбитальной скорости ракете пришлось бы сначала "погасить" скорость вращения Земли, а затем набрать необходимую скорость, что потребовало бы значительно большего расхода топлива.</p><p>По этой же причине большинство космодромов в мире расположены как можно ближе к экватору — там линейная скорость вращения Земли наибольшая, и, следовательно, выгода от её использования максимальна.</p><p><strong>Пояснительный рисунок:</strong></p><svg width="450" height="400" viewBox="0 0 450 400" xmlns="http://www.w3.org/2000/svg" style="display: block; margin: auto; font-family: sans-serif;"><circle cx="225" cy="160" r="100" fill="#d0e7f5" stroke="#333" stroke-width="2"></circle><text x="225" y="50" font-size="16" text-anchor="middle">Северный полюс (N)</text><text x="225" y="280" font-size="16" text-anchor="middle">Южный полюс (S)</text><line x1="225" y1="60" x2="225" y2="260" stroke="#333" stroke-width="1.5" stroke-dasharray="4,4"></line><path d="M 150,85 A 110 110, 0, 0, 1, 300 85" fill="none" stroke="red" stroke-width="3" marker-end="url(#arrow-red)"></path><text x="225" y="75" fill="red" font-size="14" text-anchor="middle">Направление вращения Земли</text><circle cx="325" cy="160" r="4" fill="black"></circle><text x="355" y="165" font-size="12">Точка старта</text><text x="105" y="165" font-size="14" text-anchor="middle">Запад</text><text x="345" y="165" font-size="14" text-anchor="middle">Восток</text><g transform="translate(0, 320)"><text x="225" y="0" font-size="14" text-anchor="middle">Сложение скоростей при запуске на восток:</text><line x1="100" y1="20" x2="160" y2="20" stroke="green" stroke-width="2" marker-end="url(#arrow-green)"></line><text x="130" y="38" font-size="12" text-anchor="middle" fill="green">v<tspan font-size="9" baseline-shift="sub">вращ.</tspan></text><path d="M 128 28 L 132 28 M 132 28 L 131 26 M 132 28 L 131 30" stroke="green" fill="none"></path><text x="170" y="25" font-size="16">+</text><line x1="180" y1="20" x2="300" y2="20" stroke="blue" stroke-width="2" marker-end="url(#arrow-blue)"></line><text x="240" y="38" font-size="12" text-anchor="middle" fill="blue">v<tspan font-size="9" baseline-shift="sub">ракеты</tspan></text><path d="M 238 28 L 242 28 M 242 28 L 241 26 M 242 28 L 241 30" stroke="blue" fill="none"></path><text x="310" y="25" font-size="16">=</text><line x1="100" y1="60" x2="300" y2="60" stroke="purple" stroke-width="2" marker-end="url(#arrow-purple)"></line><text x="200" y="78" font-size="12" text-anchor="middle" fill="purple">v<tspan font-size="9" baseline-shift="sub">абс</tspan></text><path d="M 198 68 L 202 68 M 202 68 L 201 66 M 202 68 L 201 70" stroke="purple" fill="none"></path></g><defs><marker id="arrow-red" viewBox="0 0 10 10" refX="8" refY="5" markerWidth="5" markerHeight="5" orient="auto-start-reverse"><path d="M 0 0 L 10 5 L 0 10 z" fill="red"></path></marker><marker id="arrow-green" viewBox="0 0 10 10" refX="8" refY="5" markerWidth="5" markerHeight="5" orient="auto-start-reverse"><path d="M 0 0 L 10 5 L 0 10 z" fill="green"></path></marker><marker id="arrow-blue" viewBox="0 0 10 10" refX="8" refY="5" markerWidth="5" markerHeight="5" orient="auto-start-reverse"><path d="M 0 0 L 10 5 L 0 10 z" fill="blue"></path></marker><marker id="arrow-purple" viewBox="0 0 10 10" refX="8" refY="5" markerWidth="5" markerHeight="5" orient="auto-start-reverse"><path d="M 0 0 L 10 5 L 0 10 z" fill="purple"></path></marker></defs></svg><p>На рисунке показана Земля, вращающаяся с запада на восток (красная стрелка). При запуске ракеты на восток, её скорость относительно Земли ($v_{ракеты}$) складывается со скоростью вращения самой Земли ($v_{вращ.}$). В результате итоговая (абсолютная) скорость ($v_{абс}$) оказывается больше, что и демонстрирует схема сложения векторов в нижней части рисунка. Это позволяет сэкономить топливо.</p><p><strong>Ответ:</strong> Запуск космических кораблей с запада на восток позволяет использовать кинетическую энергию вращения Земли. Скорость вращения планеты добавляется к скорости ракеты, что уменьшает необходимое количество топлива для достижения орбитальной скорости и делает запуск более экономичным.</p>"
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            "edition" => Illuminate\Database\Eloquent\Collection {#1166}
            "task" => array:2 [
              "refs" => "1433613"
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            "text" => "<p><strong>Решение</strong></p><p>Запуск космических кораблей обычно осуществляют с запада на восток, чтобы использовать энергию вращения Земли. Наша планета вращается вокруг своей оси с запада на восток, и все объекты на её поверхности, включая стартовую площадку, уже обладают определённой скоростью из-за этого вращения.</p><p>Когда ракета стартует в восточном направлении (по направлению вращения Земли), её скорость относительно Земли складывается со скоростью вращения самой Земли. Абсолютная скорость корабля в инерциальной системе отсчёта (связанной, например, со звездами) будет равна векторной сумме этих скоростей:</p><p>$\vec{v}_{абс} = \vec{v}_{ракеты} + \vec{v}_{вращ. Земли}$</p><p>где $\vec{v}_{абс}$ — абсолютная скорость корабля, $\vec{v}_{ракеты}$ — скорость корабля относительно Земли, а $\vec{v}_{вращ. Земли}$ — линейная скорость точки на поверхности Земли из-за её вращения.</p><p>Линейная скорость вращения Земли максимальна на экваторе и составляет около 465 м/с (или 1674 км/ч). Для вывода спутника на низкую околоземную орбиту требуется достичь первой космической скорости, которая составляет примерно 7,9 км/с. Таким образом, за счёт вращения Земли ракета получает "бесплатный" прирост скорости, что составляет около 6% от необходимой. Это позволяет значительно сэкономить топливо, что, в свою очередь, даёт возможность увеличить массу полезной нагрузки или снизить общую стоимость запуска.</p><p>Если бы запуск производился в западном направлении (против вращения Земли), то для достижения той же орбитальной скорости ракете пришлось бы сначала "погасить" скорость вращения Земли, а затем набрать необходимую скорость, что потребовало бы значительно большего расхода топлива.</p><p>По этой же причине большинство космодромов в мире расположены как можно ближе к экватору — там линейная скорость вращения Земли наибольшая, и, следовательно, выгода от её использования максимальна.</p><p><strong>Пояснительный рисунок:</strong></p><svg width="450" height="400" viewBox="0 0 450 400" xmlns="http://www.w3.org/2000/svg" style="display: block; margin: auto; font-family: sans-serif;"><circle cx="225" cy="160" r="100" fill="#d0e7f5" stroke="#333" stroke-width="2"></circle><text x="225" y="50" font-size="16" text-anchor="middle">Северный полюс (N)</text><text x="225" y="280" font-size="16" text-anchor="middle">Южный полюс (S)</text><line x1="225" y1="60" x2="225" y2="260" stroke="#333" stroke-width="1.5" stroke-dasharray="4,4"></line><path d="M 150,85 A 110 110, 0, 0, 1, 300 85" fill="none" stroke="red" stroke-width="3" marker-end="url(#arrow-red)"></path><text x="225" y="75" fill="red" font-size="14" text-anchor="middle">Направление вращения Земли</text><circle cx="325" cy="160" r="4" fill="black"></circle><text x="355" y="165" font-size="12">Точка старта</text><text x="105" y="165" font-size="14" text-anchor="middle">Запад</text><text x="345" y="165" font-size="14" text-anchor="middle">Восток</text><g transform="translate(0, 320)"><text x="225" y="0" font-size="14" text-anchor="middle">Сложение скоростей при запуске на восток:</text><line x1="100" y1="20" x2="160" y2="20" stroke="green" stroke-width="2" marker-end="url(#arrow-green)"></line><text x="130" y="38" font-size="12" text-anchor="middle" fill="green">v<tspan font-size="9" baseline-shift="sub">вращ.</tspan></text><path d="M 128 28 L 132 28 M 132 28 L 131 26 M 132 28 L 131 30" stroke="green" fill="none"></path><text x="170" y="25" font-size="16">+</text><line x1="180" y1="20" x2="300" y2="20" stroke="blue" stroke-width="2" marker-end="url(#arrow-blue)"></line><text x="240" y="38" font-size="12" text-anchor="middle" fill="blue">v<tspan font-size="9" baseline-shift="sub">ракеты</tspan></text><path d="M 238 28 L 242 28 M 242 28 L 241 26 M 242 28 L 241 30" stroke="blue" fill="none"></path><text x="310" y="25" font-size="16">=</text><line x1="100" y1="60" x2="300" y2="60" stroke="purple" stroke-width="2" marker-end="url(#arrow-purple)"></line><text x="200" y="78" font-size="12" text-anchor="middle" fill="purple">v<tspan font-size="9" baseline-shift="sub">абс</tspan></text><path d="M 198 68 L 202 68 M 202 68 L 201 66 M 202 68 L 201 70" stroke="purple" fill="none"></path></g><defs><marker id="arrow-red" viewBox="0 0 10 10" refX="8" refY="5" markerWidth="5" markerHeight="5" orient="auto-start-reverse"><path d="M 0 0 L 10 5 L 0 10 z" fill="red"></path></marker><marker id="arrow-green" viewBox="0 0 10 10" refX="8" refY="5" markerWidth="5" markerHeight="5" orient="auto-start-reverse"><path d="M 0 0 L 10 5 L 0 10 z" fill="green"></path></marker><marker id="arrow-blue" viewBox="0 0 10 10" refX="8" refY="5" markerWidth="5" markerHeight="5" orient="auto-start-reverse"><path d="M 0 0 L 10 5 L 0 10 z" fill="blue"></path></marker><marker id="arrow-purple" viewBox="0 0 10 10" refX="8" refY="5" markerWidth="5" markerHeight="5" orient="auto-start-reverse"><path d="M 0 0 L 10 5 L 0 10 z" fill="purple"></path></marker></defs></svg><p>На рисунке показана Земля, вращающаяся с запада на восток (красная стрелка). При запуске ракеты на восток, её скорость относительно Земли ($v_{ракеты}$) складывается со скоростью вращения самой Земли ($v_{вращ.}$). В результате итоговая (абсолютная) скорость ($v_{абс}$) оказывается больше, что и демонстрирует схема сложения векторов в нижней части рисунка. Это позволяет сэкономить топливо.</p><p><strong>Ответ:</strong> Запуск космических кораблей с запада на восток позволяет использовать кинетическую энергию вращения Земли. Скорость вращения планеты добавляется к скорости ракеты, что уменьшает необходимое количество топлива для достижения орбитальной скорости и делает запуск более экономичным.</p>"
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}
№35 (с. 96)
Условие. №35 (с. 96)
скриншот условия
Физика, 9 класс Учебник, авторы: Генденштейн Лев Элевич, Булатова Альбина Александрова, Корнильев Игорь Николаевич, Кошкина Анжелика Васильевна, издательство Бином, Москва, 2016, бирюзового цвета, Часть 1, страница 96, номер 35, Условие

35. Почему запуск космических кораблей обычно осуществляют с запада на восток? Сделайте пояснительный рисунок.

Решение. №35 (с. 96)

Решение

Запуск космических кораблей обычно осуществляют с запада на восток, чтобы использовать энергию вращения Земли. Наша планета вращается вокруг своей оси с запада на восток, и все объекты на её поверхности, включая стартовую площадку, уже обладают определённой скоростью из-за этого вращения.

Когда ракета стартует в восточном направлении (по направлению вращения Земли), её скорость относительно Земли складывается со скоростью вращения самой Земли. Абсолютная скорость корабля в инерциальной системе отсчёта (связанной, например, со звездами) будет равна векторной сумме этих скоростей:

$\vec{v}_{абс} = \vec{v}_{ракеты} + \vec{v}_{вращ. Земли}$

где $\vec{v}_{абс}$ — абсолютная скорость корабля, $\vec{v}_{ракеты}$ — скорость корабля относительно Земли, а $\vec{v}_{вращ. Земли}$ — линейная скорость точки на поверхности Земли из-за её вращения.

Линейная скорость вращения Земли максимальна на экваторе и составляет около 465 м/с (или 1674 км/ч). Для вывода спутника на низкую околоземную орбиту требуется достичь первой космической скорости, которая составляет примерно 7,9 км/с. Таким образом, за счёт вращения Земли ракета получает "бесплатный" прирост скорости, что составляет около 6% от необходимой. Это позволяет значительно сэкономить топливо, что, в свою очередь, даёт возможность увеличить массу полезной нагрузки или снизить общую стоимость запуска.

Если бы запуск производился в западном направлении (против вращения Земли), то для достижения той же орбитальной скорости ракете пришлось бы сначала "погасить" скорость вращения Земли, а затем набрать необходимую скорость, что потребовало бы значительно большего расхода топлива.

По этой же причине большинство космодромов в мире расположены как можно ближе к экватору — там линейная скорость вращения Земли наибольшая, и, следовательно, выгода от её использования максимальна.

Пояснительный рисунок:

Северный полюс (N)Южный полюс (S)Направление вращения ЗемлиТочка стартаЗападВостокСложение скоростей при запуске на восток:vвращ.+vракеты=vабс

На рисунке показана Земля, вращающаяся с запада на восток (красная стрелка). При запуске ракеты на восток, её скорость относительно Земли ($v_{ракеты}$) складывается со скоростью вращения самой Земли ($v_{вращ.}$). В результате итоговая (абсолютная) скорость ($v_{абс}$) оказывается больше, что и демонстрирует схема сложения векторов в нижней части рисунка. Это позволяет сэкономить топливо.

Ответ: Запуск космических кораблей с запада на восток позволяет использовать кинетическую энергию вращения Земли. Скорость вращения планеты добавляется к скорости ракеты, что уменьшает необходимое количество топлива для достижения орбитальной скорости и делает запуск более экономичным.

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