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Номер 4, страница 232 - гдз по физике 10 класс учебник Мякишев, Буховцев
Авторы: Мякишев Г. Я., Буховцев Б. Б., Сотский Н. Н.
Тип: Учебник
Серия: классический курс
Издательство: Просвещение
Год издания: 2019 - 2026
Уровень обучения: базовый и углублённый
Цвет обложки: синий
ISBN: 978-5-09-103619-9
Популярные ГДЗ в 10 классе
Глава 10. Уравнение состояния идеального газа. Газовые законы. Параграф 69. Примеры решения задач по теме «Газовые законы». Образцы заданий ЕГЭ - номер 4, страница 232.
App\Models\Task {#1030 // resources/views/models/task/default.blade.php #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 592202 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "232" "field_page_end" => null "field_url" => "/10-klass/fizika/myakishev/69-2-4" "field_display_title" => "4" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1037 #items: array:1 [ 0 => App\Models\Term {#1036 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 26 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "номер" "field_cases" => array:6 [ "field_accusative_case" => "номер" "field_creative_case" => "номером" "field_dative_case" => "номеру" "field_genitive_case" => "номера" "field_nominative_case" => "номер" "field_prepositional_case" => "номере" ] "field_short_name" => "№" ] #original: array:6 [ "id" => 26 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "номер" "field_cases" => array:6 [ "field_accusative_case" => "номер" "field_creative_case" => "номером" "field_dative_case" => "номеру" "field_genitive_case" => "номера" "field_nominative_case" => "номер" "field_prepositional_case" => "номере" ] "field_short_name" => "№" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1035 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1046 #items: array:1 [ 0 => App\Models\Branch {#1045 #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" => 591373 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Уравнение состояния идеального газа. Газовые законы" "field_branch_order" => "10" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1050 #items: array:1 [ 0 => App\Models\Term {#1047 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array: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" => "221" "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 {#1084 #items: array:1 [ 0 => App\Models\Book {#1049 #connection: "mysql" #table: "books" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:50 [ "id" => 48 "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 {#1051 #items: array:1 [ 0 => App\Models\Term {#1048 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ "id" => 6493 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Физика" "field_abbreviated_name" => null "field_cases" => array:6 [ …6] "field_foreign_lang_name" => null "field_short_name" => null "field_subject_type" => "technical_subject" "field_translit" => "fizika" ] #original: array:10 [ "id" => 6493 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Физика" "field_abbreviated_name" => null "field_cases" => array:6 [ …6] "field_foreign_lang_name" => null "field_short_name" => null "field_subject_type" => "technical_subject" "field_translit" => "fizika" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_class" => Illuminate\Database\Eloquent\Collection {#1052 #items: array:1 [ 0 => App\Models\Term {#1053 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 5459 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "10" "field_cases" => array:6 [ …6] "field_translit" => "desjatyj" ] #original: array:6 [ "id" => 5459 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "10" "field_cases" => array:6 [ …6] "field_translit" => "desjatyj" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_publisher" => Illuminate\Database\Eloquent\Collection {#1054 #items: array:1 [ 0 => App\Models\Term {#1055 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 5153 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Просвещение" "field_cases" => null "field_translit" => "prosveschenie" ] #original: array:6 [ "id" => 5153 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Просвещение" "field_cases" => null "field_translit" => "prosveschenie" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_author" => Illuminate\Database\Eloquent\Collection {#1056 #items: array:3 [ 0 => App\Models\Term {#1057 #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" => 5305 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Мякишев" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Генадий" "field_patronymic" => "Яковлевич" "field_surname_rp" => null ] #original: array:12 [ "id" => 5305 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Мякишев" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Генадий" "field_patronymic" => "Яковлевич" "field_surname_rp" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Term {#1058 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:12 [ "id" => 3951 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Буховцев" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Борис" "field_patronymic" => "Борисович" "field_surname_rp" => null ] #original: array:12 [ "id" => 3951 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Буховцев" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Борис" "field_patronymic" => "Борисович" "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 {#1059 #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" => 5848 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Сотский" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Николай" "field_patronymic" => "Николаевич" "field_surname_rp" => null ] #original: array:12 [ "id" => 5848 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Сотский" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Николай" "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 => "*" ] } ] #escapeWhenCastingToString: false } "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1060 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1061 #items: array:1 [ 0 => App\Models\Term {#1062 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array: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 {#1063 #items: array:1 [ 0 => App\Models\Term {#1064 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array: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 {#1065 #items: array:1 [ 0 => App\Models\Term {#1066 #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 {#1067 #items: array:1 [ 0 => App\Models\Term {#1068 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:8 [ "id" => 4718 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "классический курс" "field_cases" => null "field_foreign_lang_series" => null "field_transcription_eng" => null "field_translit" => "klassicheskiy kurs" ] #original: array:8 [ "id" => 4718 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "классический курс" "field_cases" => null "field_foreign_lang_series" => null "field_transcription_eng" => null "field_translit" => "klassicheskiy kurs" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_umk" => Illuminate\Database\Eloquent\Collection {#1069 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1070 #items: array:1 [ 0 => App\Models\Term {#1071 #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" => 41 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "базовый и углублённый" "field_cases" => array:6 [ …6] "field_translit" => "bazovyy i uglublennyy" ] #original: array:6 [ "id" => 41 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "базовый и углублённый" "field_cases" => array:6 [ …6] "field_translit" => "bazovyy i uglublennyy" ] #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 {#1072 #items: array:1 [ 0 => App\Models\Term {#1073 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ "id" => 6706 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "ФГОС (старый)" "field_cases" => array:6 [ …6] "field_color" => null "field_end_year" => "2022" "field_start_year" => "2019" "field_translit" => "fgos-old" "field_type" => null ] #original: array:10 [ "id" => 6706 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "ФГОС (старый)" "field_cases" => array:6 [ …6] "field_color" => null "field_end_year" => "2022" "field_start_year" => "2019" "field_translit" => "fgos-old" "field_type" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_publication_number" => "10" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1074 #items: array:1 [ 0 => App\Models\Term {#1075 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 33 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "стереотипное" "field_cases" => array:6 [ …6] "field_translit" => "stereotipnoe" ] #original: array:6 [ "id" => 33 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "стереотипное" "field_cases" => array:6 [ …6] "field_translit" => "stereotipnoe" ] #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 {#1076 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2019" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => null "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "1097" "field_priority" => "2" "field_default_folder" => "/fizika_10/myakishev-u23/" "field_isbn" => "978-5-09-103619-9" "field_cover" => array:1 [ 0 => "/media/fizika_10/myakishev-u23/covers/cover1.webp?ts=1737924477" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_10/myakishev-u23/covers/cover1.webp?ts=1737924477" "alt" => "" "width" => "1350" "height" => "1772" ] ] "field_popular_book" => null "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1077 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1078 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1079 #items: [] #escapeWhenCastingToString: false } "field_url" => "/10-klass/fizika/myakishev" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1080 #items: array:1 [ 0 => App\Models\Term {#1081 #connection: "mysql" #table: 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"field_description_bottom" => "<!--Текст в низу страницы--> <h2> Почему нужны ГДЗ? </h2> <p> В старшей школе многие аспекты учебного материала становятся намного сложнее, сродни тем, что проходят на первых курсах институтов. Поэтому любое невнимание или упущение может плохо сказаться на качестве полученных знаний. Школьникам нужно не просто тщательно штудировать заданные параграфы, но и разбирать все непонятные моменты, так как на уроках на это зачастую нет времени. Хорошим подспорьем станет для учащихся сборник <strong>ГДЗ по физике 10 класс Учебник Мякишев, Буховцев, Сотский (Просвещение, 2019-2023 г.)</strong>. </p> <p> За предстоящий учебный год ученики должны получить представление о: </p> <ol> <li>Механическом движении.</li> <li>Способах описания движения.</li> <li>Траектория. Путь. Перемещение.</li> <li>Сложении скоростей.</li> <li>Мгновенной и средней скорости.</li> <li>Движении с постоянным ускорением, и т. д.</li> </ol> <p> На страницах решебника представлены подробные пояснения по всему текущему курсу. Издание станет прекрасным дополнением к основному учебнику, позволит увидеть разнообразные наглядные примеры, которых подростки по сути лишены. Это даст возможность четко представить, как можно практическим путем объяснить различные природные явления, деятельность человека. </p> <h2> Чего можно добиться с ГДЗ? </h2> <p> Занятия по физике, как правило, проходят один-два раза в неделю по часу. Учитывая объемы материала, такого ограниченного времени не хватает на проведение полноценных уроков. Учителя многое задают ребятам на дом, рассчитывая, что те сами смогут понять все особенности тематики и освоить непростые формулы. К сожалению, некоторые школьники поверхностно подходят к домашним заданиям, что потом не дает им возможности правильно справляться с практическими номерами. <strong>Решебник Мякишева по физике</strong> позволит восполнить образовавшиеся пробелы. </p> <p> Благодаря занятиям с электронным пособием учащиеся смогут весьма улучшить: </p> <ol> <li>знания;</li> <li>оценки;</li> <li>подготовку;</li> <li>результаты по тестированиям.</li> </ol> <p> Чтобы открыть решебник, достаточно иметь под рукой любой современный гаджет с выходом в Интернет. Удобная и понятная структура, идентичная оригинальному учебнику, позволит мгновенно перейти к выбранному номеру. Верные ответы и готовые решения сделают процесс самоконтроля более легким и простым. Ученики смогут сразу понять, правильно ли они выполнили упражнение, а если нет - в чем именно допустили ошибку. </p> <h2> С решебником к хорошим оценкам </h2> <p> Некоторые родители еще мыслят по-старинке, поэтому записывают детей к репетиторам. Однако это не самый лучший способ привить ребенку нужные знания. Нагрузки в школе и так велики, поэтому любые дополнительные занятия способны вызвать лишь негатив со стороны учащихся. Чтобы этого не произошло, стоит просто воспользоваться <strong>готовыми домашними заданиями «Физика 10 класс Учебник Мякишев Г.Я.»</strong>. </p> <p> Онлайн-справочник набрал огромную популярность, благодаря тому, что он: </p> <ul> <li>систематически обновляется и дополняется;</li> <li>составлен профессиональными методистами;</li> <li>включает в себя только проверенную информацию;</li> <li>соответствует строгим образовательным стандартам.</li> </ul> <p> По проведенным опросам среди учащихся десятых классов и их преподавателей, подростки, которые используют решебник, значительно лучше воспринимают тематику и хорошо подготовлены к урокам, включая внеплановые контрольные. 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Поэтому любое невнимание или упущение может плохо сказаться на качестве полученных знаний. Школьникам нужно не просто тщательно штудировать заданные параграфы, но и разбирать все непонятные моменты, так как на уроках на это зачастую нет времени. Хорошим подспорьем станет для учащихся сборник <strong>ГДЗ по физике 10 класс Учебник Мякишев, Буховцев, Сотский (Просвещение, 2019-2023 г.)</strong>. </p> <p> За предстоящий учебный год ученики должны получить представление о: </p> <ol> <li>Механическом движении.</li> <li>Способах описания движения.</li> <li>Траектория. Путь. Перемещение.</li> <li>Сложении скоростей.</li> <li>Мгновенной и средней скорости.</li> <li>Движении с постоянным ускорением, и т. д.</li> </ol> <p> На страницах решебника представлены подробные пояснения по всему текущему курсу. Издание станет прекрасным дополнением к основному учебнику, позволит увидеть разнообразные наглядные примеры, которых подростки по сути лишены. 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К сожалению, некоторые школьники поверхностно подходят к домашним заданиям, что потом не дает им возможности правильно справляться с практическими номерами. <strong>Решебник Мякишева по физике</strong> позволит восполнить образовавшиеся пробелы. </p> <p> Благодаря занятиям с электронным пособием учащиеся смогут весьма улучшить: </p> <ol> <li>знания;</li> <li>оценки;</li> <li>подготовку;</li> <li>результаты по тестированиям.</li> </ol> <p> Чтобы открыть решебник, достаточно иметь под рукой любой современный гаджет с выходом в Интернет. Удобная и понятная структура, идентичная оригинальному учебнику, позволит мгновенно перейти к выбранному номеру. Верные ответы и готовые решения сделают процесс самоконтроля более легким и простым. Ученики смогут сразу понять, правильно ли они выполнили упражнение, а если нет - в чем именно допустили ошибку. </p> <h2> С решебником к хорошим оценкам </h2> <p> Некоторые родители еще мыслят по-старинке, поэтому записывают детей к репетиторам. Однако это не самый лучший способ привить ребенку нужные знания. Нагрузки в школе и так велики, поэтому любые дополнительные занятия способны вызвать лишь негатив со стороны учащихся. Чтобы этого не произошло, стоит просто воспользоваться <strong>готовыми домашними заданиями «Физика 10 класс Учебник Мякишев Г.Я.»</strong>. </p> <p> Онлайн-справочник набрал огромную популярность, благодаря тому, что он: </p> <ul> <li>систематически обновляется и дополняется;</li> <li>составлен профессиональными методистами;</li> <li>включает в себя только проверенную информацию;</li> <li>соответствует строгим образовательным стандартам.</li> </ul> <p> По проведенным опросам среди учащихся десятых классов и их преподавателей, подростки, которые используют решебник, значительно лучше воспринимают тематику и хорошо подготовлены к урокам, включая внеплановые контрольные. 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array:1 [ 0 => "*" ] } 1 => App\Models\Branch {#1130 #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" => 591383 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Примеры решения задач по теме «Газовые законы»" "field_branch_order" => "69" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1134 #items: array:1 [ 0 => App\Models\Term {#1131 #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" => "231" "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 {#1133 #items: array:1 [ 0 => App\Models\Book {#1049} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1132 #items: array:1 [ 0 => App\Models\Branch {#1045} ] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 591383 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Примеры решения задач по теме «Газовые законы»" "field_branch_order" => "69" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1134} "field_page_start" => "231" "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 {#1133} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1132} ] #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 {#1135 #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" => 591385 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Образцы заданий ЕГЭ" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1136 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "232" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1137 #items: array:1 [ 0 => App\Models\Book {#1049} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1146 #items: array:1 [ 0 => App\Models\Branch {#1145 #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" => 591383 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Примеры решения задач по теме «Газовые законы»" "field_branch_order" => "69" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1147 …2} "field_page_start" => "231" "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 {#1148 …2} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1149 …2} ] #original: array:24 [ "id" => 591383 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Примеры решения задач по теме «Газовые законы»" "field_branch_order" => "69" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1147 …2} "field_page_start" => "231" "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 {#1148 …2} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1149 …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" => 591385 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Образцы заданий ЕГЭ" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1136} "field_page_start" => "232" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1137} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1146} ] #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 {#1114 #items: array:3 [ 0 => App\Models\Element {#1106 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 738545 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1097 #items: array:1 [ 0 => App\Models\Edition {#1107 #connection: "mysql" #table: "editions" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:21 [ "id" => 1648 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1105 …2} "field_content_type" => "free" "field_content_mode" => "image" "field_page_content_mode" => "image" "field_content_text_checked" => "0" "field_page_content_text_checked" => "0" "field_solution_author" => "Автор" "field_moderator" => "margarita" "field_edition_type" => "statement" "field_root_dir" => "0-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1102 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1103 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1101 …2} "field_content_source" => null ] #original: array:21 [ "id" => 1648 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1105 …2} "field_content_type" => "free" "field_content_mode" => "image" "field_page_content_mode" => "image" "field_content_text_checked" => "0" "field_page_content_text_checked" => "0" "field_solution_author" => "Автор" "field_moderator" => "margarita" "field_edition_type" => "statement" "field_root_dir" => "0-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1102 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1103 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1101 …2} "field_content_source" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "task" => array:2 [ "refs" => "592202" "type" => "task" ] "img" => array:1 [ 0 => array:5 [ "name" => "4-1.jpg" "alt" => null "width" => "506" "height" => 119 "path" => "/media/fizika_10/myakishev-u23/0-69-2/4-1.webp?ts=1737993486" ] ] ] #original: array:6 [ "id" => 738545 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1097} "task" => array:2 [ "refs" => "592202" "type" => "task" ] "img" => array:1 [ 0 => array:5 [ "name" => "4-1.jpg" "alt" => null "width" => "506" "height" => 119 "path" => "/media/fizika_10/myakishev-u23/0-69-2/4-1.webp?ts=1737993486" ] ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Element {#1099 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 739632 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1091 #items: array:1 [ 0 => App\Models\Edition {#1100 #connection: "mysql" #table: "editions" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:21 [ "id" => 1649 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1095 …2} "field_content_type" => "free" "field_content_mode" => "image" "field_page_content_mode" => "" "field_content_text_checked" => "0" "field_page_content_text_checked" => "0" "field_solution_author" => "Неизвестный" "field_moderator" => "margarita" "field_edition_type" => "solution" "field_root_dir" => "1-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1096 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1093 …2} "field_process_formula" => "" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1094 …2} "field_content_source" => null ] #original: array:21 [ "id" => 1649 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1095 …2} "field_content_type" => "free" "field_content_mode" => "image" "field_page_content_mode" => "" "field_content_text_checked" => "0" "field_page_content_text_checked" => "0" "field_solution_author" => "Неизвестный" "field_moderator" => "margarita" "field_edition_type" => "solution" "field_root_dir" => "1-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1096 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1093 …2} "field_process_formula" => "" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1094 …2} "field_content_source" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "task" => array:2 [ "refs" => "592202" "type" => "task" ] "img" => array:1 [ 0 => array:5 [ "name" => "4-1.jpg" "alt" => null "width" => "700" "height" => 2624 "path" => "/media/fizika_10/myakishev-u23/1-69-2/4-1.webp?ts=1737994454" ] ] ] #original: array:6 [ "id" => 739632 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1091} "task" => array:2 [ "refs" => "592202" "type" => "task" ] "img" => array:1 [ 0 => array:5 [ "name" => "4-1.jpg" "alt" => null "width" => "700" "height" => 2624 "path" => "/media/fizika_10/myakishev-u23/1-69-2/4-1.webp?ts=1737994454" ] ] ] #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\Element {#1092 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 1460737 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1041 #items: array:1 [ 0 => App\Models\Edition {#1088 #connection: "mysql" #table: "editions" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:21 [ "id" => 5394 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение 3" "field_order" => "4" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1089 …2} "field_content_type" => "free" "field_content_mode" => "text" "field_page_content_mode" => "" "field_content_text_checked" => null "field_page_content_text_checked" => "0" "field_solution_author" => "Gemini 2.5 Pro" "field_moderator" => "tolik" "field_edition_type" => "solution" "field_root_dir" => "3-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1086 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1087 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1083 …2} "field_content_source" => null ] #original: array:21 [ "id" => 5394 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение 3" "field_order" => "4" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1089 …2} "field_content_type" => "free" "field_content_mode" => "text" "field_page_content_mode" => "" "field_content_text_checked" => null "field_page_content_text_checked" => "0" "field_solution_author" => "Gemini 2.5 Pro" "field_moderator" => "tolik" "field_edition_type" => "solution" "field_root_dir" => "3-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1086 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1087 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1083 …2} "field_content_source" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "task" => array:2 [ "refs" => "592202" "type" => "task" ] "text" => "<p><strong>Дано:</strong></p><p>$v = 0.09$ моль</p><p>$m = 5$ кг</p><p>$p_0 = 100$ кПа</p><p>$\Delta h = 4$ см</p><p>$\Delta T = 16$ К</p><p>$p_0 = 100 \cdot 10^3 \text{ Па} = 10^5 \text{ Па}$</p><p>$\Delta h = 4 \text{ см} = 0.04 \text{ м}$</p><p><strong>Найти:</strong></p><p>$S$ - ?</p><p><strong>Решение:</strong></p><p>Поскольку поршень в цилиндре может перемещаться свободно и без трения, процесс нагревания газа является изобарным, то есть он происходит при постоянном давлении $p$. Это давление определяется условием механического равновесия поршня. На поршень действуют три силы: сила тяжести поршня $mg$, направленная вниз, сила атмосферного давления $F_0 = p_0S$, также направленная вниз, и сила давления газа $F_{газа} = pS$, направленная вверх. В состоянии равновесия сумма сил, действующих на поршень, равна нулю:</p><p>$F_{газа} = F_0 + mg$</p><p>Запишем это уравнение через давление и площадь поршня $S$:</p><p>$pS = p_0S + mg$</p><p>Отсюда можно выразить давление газа в цилиндре:</p><p>$p = p_0 + \frac{mg}{S}$</p><p>Для изобарного процесса изменение состояния идеального газа описывается уравнением Менделеева-Клапейрона. Запишем его для начального (1) и конечного (2) состояний:</p><p>$pV_1 = vRT_1$</p><p>$pV_2 = vRT_2$</p><p>Вычитая первое уравнение из второго, получаем соотношение для изменений параметров состояния:</p><p>$p(V_2 - V_1) = vR(T_2 - T_1)$</p><p>Введем обозначения для приращений: $\Delta V = V_2 - V_1$ и $\Delta T = T_2 - T_1$.</p><p>$p \Delta V = vR \Delta T$</p><p>Изменение объема газа $\Delta V$ при подъеме поршня на высоту $\Delta h$ равно объему цилиндра с основанием $S$ и высотой $\Delta h$:</p><p>$\Delta V = S \cdot \Delta h$</p><p>Подставим полученные выражения для давления $p$ и изменения объема $\Delta V$ в уравнение $p \Delta V = vR \Delta T$:</p><p>$(p_0 + \frac{mg}{S}) \cdot (S \Delta h) = vR \Delta T$</p><p>Раскроем скобки в левой части уравнения:</p><p>$p_0 S \Delta h + \frac{mg}{S} S \Delta h = vR \Delta T$</p><p>$p_0 S \Delta h + mg \Delta h = vR \Delta T$</p><p>Из этого уравнения выразим искомую площадь поршня $S$:</p><p>$p_0 S \Delta h = vR \Delta T - mg \Delta h$</p><p>$S = \frac{vR \Delta T - mg \Delta h}{p_0 \Delta h}$</p><p>Подставим числовые значения в полученную формулу. Будем использовать универсальную газовую постоянную $R \approx 8.31$ Дж/(моль·К) и ускорение свободного падения $g \approx 9.8$ м/с².</p><p>$S = \frac{0.09 \cdot 8.31 \cdot 16 - 5 \cdot 9.8 \cdot 0.04}{10^5 \cdot 0.04}$</p><p>$S = \frac{11.9664 - 1.96}{4000} = \frac{10.0064}{4000} \approx 0.0025016 \text{ м}^2$</p><p>Округлим результат. Для наглядности также переведем его в квадратные сантиметры ($1 \text{ м}^2 = 10000 \text{ см}^2$).</p><p>$S \approx 0.0025 \text{ м}^2 = 25 \text{ см}^2$</p><p><strong>Ответ:</strong> площадь поршня равна примерно $0.0025 \text{ м}^2$ или $25 \text{ см}^2$.</p>" ] #original: array:6 [ "id" => 1460737 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1041} "task" => array:2 [ "refs" => "592202" "type" => "task" ] "text" => "<p><strong>Дано:</strong></p><p>$v = 0.09$ моль</p><p>$m = 5$ кг</p><p>$p_0 = 100$ кПа</p><p>$\Delta h = 4$ см</p><p>$\Delta T = 16$ К</p><p>$p_0 = 100 \cdot 10^3 \text{ Па} = 10^5 \text{ Па}$</p><p>$\Delta h = 4 \text{ см} = 0.04 \text{ м}$</p><p><strong>Найти:</strong></p><p>$S$ - ?</p><p><strong>Решение:</strong></p><p>Поскольку поршень в цилиндре может перемещаться свободно и без трения, процесс нагревания газа является изобарным, то есть он происходит при постоянном давлении $p$. Это давление определяется условием механического равновесия поршня. На поршень действуют три силы: сила тяжести поршня $mg$, направленная вниз, сила атмосферного давления $F_0 = p_0S$, также направленная вниз, и сила давления газа $F_{газа} = pS$, направленная вверх. В состоянии равновесия сумма сил, действующих на поршень, равна нулю:</p><p>$F_{газа} = F_0 + mg$</p><p>Запишем это уравнение через давление и площадь поршня $S$:</p><p>$pS = p_0S + mg$</p><p>Отсюда можно выразить давление газа в цилиндре:</p><p>$p = p_0 + \frac{mg}{S}$</p><p>Для изобарного процесса изменение состояния идеального газа описывается уравнением Менделеева-Клапейрона. Запишем его для начального (1) и конечного (2) состояний:</p><p>$pV_1 = vRT_1$</p><p>$pV_2 = vRT_2$</p><p>Вычитая первое уравнение из второго, получаем соотношение для изменений параметров состояния:</p><p>$p(V_2 - V_1) = vR(T_2 - T_1)$</p><p>Введем обозначения для приращений: $\Delta V = V_2 - V_1$ и $\Delta T = T_2 - T_1$.</p><p>$p \Delta V = vR \Delta T$</p><p>Изменение объема газа $\Delta V$ при подъеме поршня на высоту $\Delta h$ равно объему цилиндра с основанием $S$ и высотой $\Delta h$:</p><p>$\Delta V = S \cdot \Delta h$</p><p>Подставим полученные выражения для давления $p$ и изменения объема $\Delta V$ в уравнение $p \Delta V = vR \Delta T$:</p><p>$(p_0 + \frac{mg}{S}) \cdot (S \Delta h) = vR \Delta T$</p><p>Раскроем скобки в левой части уравнения:</p><p>$p_0 S \Delta h + \frac{mg}{S} S \Delta h = vR \Delta T$</p><p>$p_0 S \Delta h + mg \Delta h = vR \Delta T$</p><p>Из этого уравнения выразим искомую площадь поршня $S$:</p><p>$p_0 S \Delta h = vR \Delta T - mg \Delta h$</p><p>$S = \frac{vR \Delta T - mg \Delta h}{p_0 \Delta h}$</p><p>Подставим числовые значения в полученную формулу. Будем использовать универсальную газовую постоянную $R \approx 8.31$ Дж/(моль·К) и ускорение свободного падения $g \approx 9.8$ м/с².</p><p>$S = \frac{0.09 \cdot 8.31 \cdot 16 - 5 \cdot 9.8 \cdot 0.04}{10^5 \cdot 0.04}$</p><p>$S = \frac{11.9664 - 1.96}{4000} = \frac{10.0064}{4000} \approx 0.0025016 \text{ м}^2$</p><p>Округлим результат. Для наглядности также переведем его в квадратные сантиметры ($1 \text{ м}^2 = 10000 \text{ см}^2$).</p><p>$S \approx 0.0025 \text{ м}^2 = 25 \text{ см}^2$</p><p><strong>Ответ:</strong> площадь поршня равна примерно $0.0025 \text{ м}^2$ или $25 \text{ см}^2$.</p>" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "592203" "type" => "task" ] "previous" => array:2 [ "refs" => "592201" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1110 #items: array:1 [ 0 => App\Models\Book {#1049} ] #escapeWhenCastingToString: false } "page" => Illuminate\Database\Eloquent\Collection {#1113 #items: array:1 [ 0 => App\Models\BookPage {#1042 #connection: "mysql" #table: "book_pages" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:21 [ "id" => 948813 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "232" "field_url" => "/10-klass/fizika/myakishev/page-233" "field_display_title" => "232" "field_folder" => "1" "field_image_name" => "232" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1040 #items: [] #escapeWhenCastingToString: false } "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1085 #items: array:1 [ 0 => App\Models\Book {#1049} ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "edition_groups" => Illuminate\Database\Eloquent\Collection {#1043 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1119 #items: array:1 [ 0 => App\Models\Element {#1121 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 1124100 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1139 …2} "book_page" => array:2 [ …2] "img" => array:1 [ …1] ] #original: array:6 [ "id" => 1124100 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1139 …2} "book_page" => array:2 [ …2] "img" => array:1 [ …1] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "948814" "type" => "book_page" ] "previous" => array:2 [ "refs" => "948812" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1227 #items: array:8 [ 0 => App\Models\Task {#1241 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 592196 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "232" "field_page_end" => null "field_url" => "/10-klass/fizika/myakishev/69-1-1" "field_display_title" => "1" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1242 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1243 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1244 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1327 …2} "content" => Illuminate\Database\Eloquent\Collection {#1320 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1319 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 592196 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "232" "field_page_end" => null "field_url" => "/10-klass/fizika/myakishev/69-1-1" "field_display_title" => "1" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1242 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1243 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1244 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1327 …2} "content" => Illuminate\Database\Eloquent\Collection {#1320 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1319 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Task {#1283 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 592197 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "232" "field_page_end" => null "field_url" => "/10-klass/fizika/myakishev/69-1-2" "field_display_title" => "2" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1334 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1318 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1317 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1324 …2} "content" => Illuminate\Database\Eloquent\Collection {#1325 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1303 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 592197 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "232" "field_page_end" => null "field_url" => "/10-klass/fizika/myakishev/69-1-2" "field_display_title" => "2" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1334 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1318 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1317 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1324 …2} "content" => Illuminate\Database\Eloquent\Collection {#1325 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1303 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 2 => App\Models\Task {#1287 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 592198 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "232" "field_page_end" => null "field_url" => "/10-klass/fizika/myakishev/69-1-3" "field_display_title" => "3" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1321 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1306 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1304 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1307 …2} "content" => Illuminate\Database\Eloquent\Collection {#1309 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1291 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 592198 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "232" "field_page_end" => null "field_url" => "/10-klass/fizika/myakishev/69-1-3" "field_display_title" => "3" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1321 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1306 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1304 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1307 …2} "content" => Illuminate\Database\Eloquent\Collection {#1309 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1291 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 3 => App\Models\Task {#1305 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 592199 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "232" "field_page_end" => null "field_url" => "/10-klass/fizika/myakishev/69-2-1" "field_display_title" => "1" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1308 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1290 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1288 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1292 …2} "content" => Illuminate\Database\Eloquent\Collection {#1295 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1279 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 592199 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "232" "field_page_end" => null "field_url" => "/10-klass/fizika/myakishev/69-2-1" "field_display_title" => "1" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1308 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1290 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1288 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1292 …2} "content" => Illuminate\Database\Eloquent\Collection {#1295 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1279 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 4 => App\Models\Task {#1293 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 592200 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "232" …20 ] #original: array:24 [ …24] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } 5 => App\Models\Task {#1280 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ …24] #original: array:24 [ …24] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } 6 => App\Models\Task {#1268 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ …24] #original: array:24 [ …24] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } 7 => App\Models\Task {#1254 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ …24] #original: array:24 [ …24] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } ] #escapeWhenCastingToString: false } ] #original: array:21 [ "id" => 948813 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "232" "field_url" => "/10-klass/fizika/myakishev/page-233" "field_display_title" => "232" "field_folder" => "1" "field_image_name" => "232" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1040} "field_weight" => "0" "field_book_parent" => 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=> "/10-klass/fizika/myakishev/69-2-4" "field_display_title" => "4" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1037} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1035} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1046} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1116} "content" => Illuminate\Database\Eloquent\Collection {#1114} "next" => array:2 [ "refs" => "592203" "type" => "task" ] "previous" => array:2 [ "refs" => "592201" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1110} "page" => array:2 [ "refs" => "948813" "type" => "book_page" ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] }
№4 (с. 232)
Условие. №4 (с. 232)
Решение. №4 (с. 232)
Решение 3. №4 (с. 232)
Дано:
$v = 0.09$ моль
$m = 5$ кг
$p_0 = 100$ кПа
$\Delta h = 4$ см
$\Delta T = 16$ К
$p_0 = 100 \cdot 10^3 \text{ Па} = 10^5 \text{ Па}$
$\Delta h = 4 \text{ см} = 0.04 \text{ м}$
Найти:
$S$ - ?
Решение:
Поскольку поршень в цилиндре может перемещаться свободно и без трения, процесс нагревания газа является изобарным, то есть он происходит при постоянном давлении $p$. Это давление определяется условием механического равновесия поршня. На поршень действуют три силы: сила тяжести поршня $mg$, направленная вниз, сила атмосферного давления $F_0 = p_0S$, также направленная вниз, и сила давления газа $F_{газа} = pS$, направленная вверх. В состоянии равновесия сумма сил, действующих на поршень, равна нулю:
$F_{газа} = F_0 + mg$
Запишем это уравнение через давление и площадь поршня $S$:
$pS = p_0S + mg$
Отсюда можно выразить давление газа в цилиндре:
$p = p_0 + \frac{mg}{S}$
Для изобарного процесса изменение состояния идеального газа описывается уравнением Менделеева-Клапейрона. Запишем его для начального (1) и конечного (2) состояний:
$pV_1 = vRT_1$
$pV_2 = vRT_2$
Вычитая первое уравнение из второго, получаем соотношение для изменений параметров состояния:
$p(V_2 - V_1) = vR(T_2 - T_1)$
Введем обозначения для приращений: $\Delta V = V_2 - V_1$ и $\Delta T = T_2 - T_1$.
$p \Delta V = vR \Delta T$
Изменение объема газа $\Delta V$ при подъеме поршня на высоту $\Delta h$ равно объему цилиндра с основанием $S$ и высотой $\Delta h$:
$\Delta V = S \cdot \Delta h$
Подставим полученные выражения для давления $p$ и изменения объема $\Delta V$ в уравнение $p \Delta V = vR \Delta T$:
$(p_0 + \frac{mg}{S}) \cdot (S \Delta h) = vR \Delta T$
Раскроем скобки в левой части уравнения:
$p_0 S \Delta h + \frac{mg}{S} S \Delta h = vR \Delta T$
$p_0 S \Delta h + mg \Delta h = vR \Delta T$
Из этого уравнения выразим искомую площадь поршня $S$:
$p_0 S \Delta h = vR \Delta T - mg \Delta h$
$S = \frac{vR \Delta T - mg \Delta h}{p_0 \Delta h}$
Подставим числовые значения в полученную формулу. Будем использовать универсальную газовую постоянную $R \approx 8.31$ Дж/(моль·К) и ускорение свободного падения $g \approx 9.8$ м/с².
$S = \frac{0.09 \cdot 8.31 \cdot 16 - 5 \cdot 9.8 \cdot 0.04}{10^5 \cdot 0.04}$
$S = \frac{11.9664 - 1.96}{4000} = \frac{10.0064}{4000} \approx 0.0025016 \text{ м}^2$
Округлим результат. Для наглядности также переведем его в квадратные сантиметры ($1 \text{ м}^2 = 10000 \text{ см}^2$).
$S \approx 0.0025 \text{ м}^2 = 25 \text{ см}^2$
Ответ: площадь поршня равна примерно $0.0025 \text{ м}^2$ или $25 \text{ см}^2$.
Другие задания:
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