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Вариант 9, страница 69 - гдз по физике 8 класс дидактические материалы Марон, Марон
Авторы: Марон А. Е., Марон Е. А.
Тип: Дидактические материалы
Издательство: Просвещение
Год издания: 2022 - 2026
Уровень обучения: базовый
Цвет обложки: белый
ISBN: 978-5-09-111138-5
Популярные ГДЗ в 8 классе
Самостоятельные работы. СР-3. Количество теплоты. Энергия топлива - страница 69.
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" => 1470278 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "69" "field_page_end" => null "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy/cp03-9" "field_display_title" => "Вариант 9" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1036 #items: [] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1034 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1073 #items: array:1 [ 0 => App\Models\Branch {#1035 #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" => 1469778 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Самостоятельные работы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1038 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "62" "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 {#1037 #items: array:1 [ 0 => App\Models\Book {#1039 #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" => 1038 "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 {#1040 #items: array:1 [ 0 => App\Models\Term {#1041 #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 [ …10] #original: array:10 [ …10] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } ] #escapeWhenCastingToString: false } "field_class" => Illuminate\Database\Eloquent\Collection {#1042 #items: array:1 [ 0 => App\Models\Term {#1043 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ …6] #original: array:6 [ …6] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } ] #escapeWhenCastingToString: false } "field_publisher" => Illuminate\Database\Eloquent\Collection {#1044 #items: array:1 [ 0 => App\Models\Term {#1045 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ …6] #original: array:6 [ …6] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } ] #escapeWhenCastingToString: false } "field_author" => Illuminate\Database\Eloquent\Collection {#1046 #items: array:2 [ 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:12 [ …12] #original: array:12 [ …12] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } 1 => 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:12 [ …12] #original: array:12 [ …12] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } ] #escapeWhenCastingToString: false } "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1049 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1050 #items: array:1 [ 0 => App\Models\Term {#1051 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ …10] #original: array:10 [ …10] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } ] #escapeWhenCastingToString: false } "field_country" => 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 [ …6] #original: array:6 [ …6] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } ] #escapeWhenCastingToString: false } "field_city" => 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 …22 } ] #escapeWhenCastingToString: false } "field_series" => Illuminate\Database\Eloquent\Collection {#1056 #items: [] #escapeWhenCastingToString: false } "field_umk" => Illuminate\Database\Eloquent\Collection {#1057 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1058 #items: array:1 [ 0 => App\Models\Term {#1059 …30} ] #escapeWhenCastingToString: false } "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1060 #items: array:1 [ 0 => App\Models\Term {#1061 …30} ] #escapeWhenCastingToString: false } "field_publication_number" => "4" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1062 #items: array:1 [ 0 => App\Models\Term {#1063 …30} ] #escapeWhenCastingToString: false } "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1064 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2022" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное пособие" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "661" "field_priority" => null "field_default_folder" => "/fizika_08/maron-dm/" "field_isbn" => "978-5-09-111138-5" "field_cover" => array:1 [ 0 => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989" "alt" => "" "width" => "2294" "height" => "3039" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1065 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1066 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1067 #items: [] #escapeWhenCastingToString: false } "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1068 #items: array:1 [ 0 => App\Models\Term {#1069 …30} ] #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" => 379 "subject" => 556 "class_subject" => 492 ] ] #original: array:50 [ "id" => 1038 "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 {#1040} "field_class" => Illuminate\Database\Eloquent\Collection {#1042} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1044} "field_author" => Illuminate\Database\Eloquent\Collection {#1046} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1049} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1050} "field_country" => Illuminate\Database\Eloquent\Collection {#1052} "field_city" => Illuminate\Database\Eloquent\Collection {#1054} "field_series" => Illuminate\Database\Eloquent\Collection {#1056} "field_umk" => Illuminate\Database\Eloquent\Collection {#1057} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1058} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1060} "field_publication_number" => "4" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1062} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1064} "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2022" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное пособие" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "661" "field_priority" => null "field_default_folder" => "/fizika_08/maron-dm/" "field_isbn" => "978-5-09-111138-5" "field_cover" => array:1 [ 0 => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989" "alt" => "" "width" => "2294" "height" => "3039" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1065} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1066} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1067} "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1068} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 379 "subject" => 556 "class_subject" => 492 ] ] #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 {#1070 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1469778 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Самостоятельные работы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1038} "field_page_start" => "62" "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 {#1037} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1070} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1109 #items: array:2 [ 0 => App\Models\Branch {#1117 #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" => 1469778 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Самостоятельные работы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1118 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "62" "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 {#1152 #items: array:1 [ 0 => App\Models\Book {#1119 #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" => 1038 "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 {#1121 #items: array:1 [ 0 => App\Models\Term {#1120 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ "id" => 6493 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Физика" "field_abbreviated_name" => null "field_cases" => array:6 [ "field_accusative_case" => "физику" "field_creative_case" => "физикой" "field_dative_case" => "физике" "field_genitive_case" => "физики" "field_nominative_case" => "физика" "field_prepositional_case" => "физике" ] "field_foreign_lang_name" => null "field_short_name" => null "field_subject_type" => "technical_subject" "field_translit" => "fizika" ] #original: array:10 [ "id" => 6493 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Физика" "field_abbreviated_name" => null "field_cases" => array:6 [ "field_accusative_case" => "физику" "field_creative_case" => "физикой" "field_dative_case" => "физике" "field_genitive_case" => "физики" "field_nominative_case" => "физика" "field_prepositional_case" => "физике" ] "field_foreign_lang_name" => null "field_short_name" => null "field_subject_type" => "technical_subject" "field_translit" => "fizika" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_class" => Illuminate\Database\Eloquent\Collection {#1122 #items: array:1 [ 0 => App\Models\Term {#1123 #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" => 5457 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "8" "field_cases" => array:6 [ "field_accusative_case" => "восьмой" "field_creative_case" => "восьмым" "field_dative_case" => "восьмому" "field_genitive_case" => "восьмого" "field_nominative_case" => "восьмой" "field_prepositional_case" => "восьмом" ] "field_translit" => "vosmoj" ] #original: array:6 [ "id" => 5457 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "8" "field_cases" => array:6 [ "field_accusative_case" => "восьмой" "field_creative_case" => "восьмым" "field_dative_case" => "восьмому" "field_genitive_case" => "восьмого" "field_nominative_case" => "восьмой" "field_prepositional_case" => "восьмом" ] "field_translit" => "vosmoj" ] #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 {#1124 #items: array:1 [ 0 => App\Models\Term {#1125 #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 {#1126 #items: array:2 [ 0 => App\Models\Term {#1127 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:12 [ "id" => 5107 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Марон" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Абрам" "field_patronymic" => "Евсеевич" "field_surname_rp" => null ] #original: array:12 [ "id" => 5107 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Марон" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Абрам" "field_patronymic" => "Евсеевич" "field_surname_rp" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Term {#1128 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:12 [ "id" => 5108 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Марон" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Евгений" "field_patronymic" => "Абрамович" "field_surname_rp" => null ] #original: array:12 [ "id" => 5108 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Марон" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Евгений" "field_patronymic" => "Абрамович" "field_surname_rp" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1129 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1130 #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:10 [ "id" => 6510 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Дидактические материалы" "field_book_type_foreign" => null "field_cases" => array:6 [ "field_accusative_case" => "дидактические материалы" "field_creative_case" => "дидактическими материалами" "field_dative_case" => "дидактическим материалам" "field_genitive_case" => "дидактических материалов" "field_nominative_case" => "дидактические материалы" "field_prepositional_case" => "дидактических материалах" ] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "didakticheskie materialy" ] #original: array:10 [ "id" => 6510 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Дидактические материалы" "field_book_type_foreign" => null "field_cases" => array:6 [ "field_accusative_case" => "дидактические материалы" "field_creative_case" => "дидактическими материалами" "field_dative_case" => "дидактическим материалам" "field_genitive_case" => "дидактических материалов" "field_nominative_case" => "дидактические материалы" "field_prepositional_case" => "дидактических материалах" ] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "didakticheskie materialy" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_country" => Illuminate\Database\Eloquent\Collection {#1132 #items: array:1 [ 0 => App\Models\Term {#1133 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 9 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Россия" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "rossiya" ] #original: array:6 [ "id" => 9 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Россия" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "rossiya" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_city" => Illuminate\Database\Eloquent\Collection {#1134 #items: array:1 [ 0 => App\Models\Term {#1135 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 15 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Москва" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "moskva" ] #original: array:6 [ "id" => 15 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Москва" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "moskva" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_series" => Illuminate\Database\Eloquent\Collection {#1136 #items: [] #escapeWhenCastingToString: false } "field_umk" => Illuminate\Database\Eloquent\Collection {#1137 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1138 #items: array:1 [ 0 => App\Models\Term {#1139 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 38 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "базовый" "field_cases" => array:6 [ "field_accusative_case" => "базовый" "field_creative_case" => "базовым" "field_dative_case" => "базовому" "field_genitive_case" => "базового" "field_nominative_case" => "базовый" "field_prepositional_case" => "базовом" ] "field_translit" => "bazovyy" ] #original: array:6 [ "id" => 38 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "базовый" "field_cases" => array:6 [ "field_accusative_case" => "базовый" "field_creative_case" => "базовым" "field_dative_case" => "базовому" "field_genitive_case" => "базового" "field_nominative_case" => "базовый" "field_prepositional_case" => "базовом" ] "field_translit" => "bazovyy" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1140 #items: array:1 [ 0 => App\Models\Term {#1141 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ "id" => 25 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "ФГОС (новый)" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_color" => "красный" "field_end_year" => "2027" "field_start_year" => "2023" "field_translit" => "fgos" "field_type" => "новый" ] #original: array:10 [ "id" => 25 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "ФГОС (новый)" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_color" => "красный" "field_end_year" => "2027" "field_start_year" => "2023" "field_translit" => "fgos" "field_type" => "новый" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_publication_number" => "4" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1142 #items: array:1 [ 0 => App\Models\Term {#1143 #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 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "stereotipnoe" ] #original: array:6 [ "id" => 33 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "стереотипное" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "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 {#1144 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2022" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное пособие" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "661" "field_priority" => null "field_default_folder" => "/fizika_08/maron-dm/" "field_isbn" => "978-5-09-111138-5" "field_cover" => array:1 [ 0 => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989" "alt" => "" "width" => "2294" "height" => "3039" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1145 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1146 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1147 #items: [] #escapeWhenCastingToString: false } "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1148 #items: array:1 [ 0 => App\Models\Term {#1149 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 45 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "белый" "field_cases" => array:6 [ "field_accusative_case" => "белый" "field_creative_case" => "белым" "field_dative_case" => "белому" "field_genitive_case" => "белого" "field_nominative_case" => "белый" "field_prepositional_case" => "белом" ] "field_translit" => "belyy" ] #original: array:6 [ "id" => 45 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "белый" "field_cases" => array:6 [ "field_accusative_case" => "белый" "field_creative_case" => "белым" "field_dative_case" => "белому" "field_genitive_case" => "белого" "field_nominative_case" => "белый" "field_prepositional_case" => "белом" ] "field_translit" => "belyy" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 379 "subject" => 556 "class_subject" => 492 ] ] #original: array:50 [ "id" => 1038 "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 {#1121} "field_class" => Illuminate\Database\Eloquent\Collection {#1122} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1124} "field_author" => Illuminate\Database\Eloquent\Collection {#1126} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1129} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1130} "field_country" => Illuminate\Database\Eloquent\Collection {#1132} "field_city" => Illuminate\Database\Eloquent\Collection {#1134} "field_series" => Illuminate\Database\Eloquent\Collection {#1136} "field_umk" => Illuminate\Database\Eloquent\Collection {#1137} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1138} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1140} "field_publication_number" => "4" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1142} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1144} "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2022" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное пособие" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "661" "field_priority" => null "field_default_folder" => "/fizika_08/maron-dm/" "field_isbn" => "978-5-09-111138-5" "field_cover" => array:1 [ 0 => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989" "alt" => "" "width" => "2294" "height" => "3039" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1145} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1146} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1147} "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1148} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 379 "subject" => 556 "class_subject" => 492 ] ] #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 {#1150 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1469778 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Самостоятельные работы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1118} "field_page_start" => "62" "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 {#1152} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1150} ] #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 {#1151 #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" => 1469781 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "СР-3. Количество теплоты. Энергия топлива" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1153 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "67" "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 {#1154 #items: array:1 [ 0 => App\Models\Book {#1119} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1155 #items: array:1 [ 0 => App\Models\Branch {#1035} ] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1469781 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "СР-3. Количество теплоты. Энергия топлива" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1153} "field_page_start" => "67" "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 {#1154} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1155} ] #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 {#1071 #items: array:2 [ 0 => App\Models\Element {#1100 #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" => 1760852 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1090 #items: array:1 [ 0 => App\Models\Edition {#1098 #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" => 6406 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1096 #items: array:1 [ 0 => App\Models\Term {#1099 …30} ] #escapeWhenCastingToString: false } "field_content_type" => "free" "field_content_mode" => "text, image" "field_page_content_mode" => "image" "field_content_text_checked" => "0" "field_page_content_text_checked" => "0" "field_solution_author" => "Автор" "field_moderator" => "stas" "field_edition_type" => "statement" "field_root_dir" => "0-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1097 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1094 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1095 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 6406 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1096} "field_content_type" => "free" "field_content_mode" => "text, image" "field_page_content_mode" => "image" "field_content_text_checked" => "0" "field_page_content_text_checked" => "0" "field_solution_author" => "Автор" "field_moderator" => "stas" "field_edition_type" => "statement" "field_root_dir" => "0-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1097} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1094} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1095} "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" => "1470278" "type" => "task" ] "text" => "<p><strong>Вариант 9</strong></p><p><strong>1.</strong> Два одинаковых стальных шарика нагрели до одной и той же температуры. Один шарик опустили в стакан с водой, другой — в стакан с керосином. Какая жидкость нагреется до более высокой температуры? Масса воды и керосина, а также их начальная температура одинаковы.</p><p><strong>2.</strong> Какое количество теплоты выделится при полном сгорании 2,5 т нефти?</p><p><strong>3.</strong> На нагревание кирпича массой 4 кг на 63 $^\circ \text{C}$ требуется такое же количество теплоты, как и на нагревание воды той же массы на 13,2 $^\circ \text{C}$. Определите удельную теплоёмкость кирпича.</p>" "img" => array:1 [ 0 => array:5 [ "name" => "9-1.jpg" "alt" => null "width" => "1486" "height" => 834 "path" => "/media/fizika_08/maron-dm/0-cp03/9-1.webp?ts=1760803270" ] ] ] #original: array:7 [ "id" => 1760852 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1090} "task" => array:2 [ "refs" => "1470278" "type" => "task" ] "text" => "<p><strong>Вариант 9</strong></p><p><strong>1.</strong> Два одинаковых стальных шарика нагрели до одной и той же температуры. Один шарик опустили в стакан с водой, другой — в стакан с керосином. Какая жидкость нагреется до более высокой температуры? Масса воды и керосина, а также их начальная температура одинаковы.</p><p><strong>2.</strong> Какое количество теплоты выделится при полном сгорании 2,5 т нефти?</p><p><strong>3.</strong> На нагревание кирпича массой 4 кг на 63 $^\circ \text{C}$ требуется такое же количество теплоты, как и на нагревание воды той же массы на 13,2 $^\circ \text{C}$. Определите удельную теплоёмкость кирпича.</p>" "img" => array:1 [ 0 => array:5 [ "name" => "9-1.jpg" "alt" => null "width" => "1486" "height" => 834 "path" => "/media/fizika_08/maron-dm/0-cp03/9-1.webp?ts=1760803270" ] ] ] #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 {#1093 #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" => 1820267 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1084 #items: array:1 [ 0 => App\Models\Edition {#1092 #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" => 6684 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1088 #items: array:1 [ 0 => App\Models\Term {#1091 …30} ] #escapeWhenCastingToString: false } "field_content_type" => "free" "field_content_mode" => "text" "field_page_content_mode" => "" "field_content_text_checked" => "0" "field_page_content_text_checked" => "0" "field_solution_author" => "Gemini 2.5 Pro" "field_moderator" => "tolik" "field_edition_type" => "solution" "field_root_dir" => "1-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1089 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1086 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1087 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 6684 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1088} "field_content_type" => "free" "field_content_mode" => "text" "field_page_content_mode" => "" "field_content_text_checked" => "0" "field_page_content_text_checked" => "0" "field_solution_author" => "Gemini 2.5 Pro" "field_moderator" => "tolik" "field_edition_type" => "solution" "field_root_dir" => "1-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1089} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1086} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1087} "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" => "1470278" "type" => "task" ] "text" => "<p><strong>1.</strong> При опускании нагретого стального шарика в жидкость происходит теплообмен: шарик отдает тепло, а жидкость его получает, пока их температуры не выровняются. Количество теплоты $\text{Q}$, необходимое для нагревания вещества, определяется формулой $Q = c m \Delta T$, где $\text{c}$ — удельная теплоемкость вещества, $\text{m}$ — его масса, а $\Delta T$ — изменение температуры.</p><p>Из этой формулы можно выразить изменение температуры: $\Delta T = \frac{Q}{c m}$.</p><p>По условию задачи, массы воды и керосина одинаковы. Однако их удельные теплоемкости различны. Удельная теплоемкость воды ($c_{в} \approx 4200 \frac{Дж}{кг \cdot °C}$) значительно больше удельной теплоемкости керосина ($c_{к} \approx 2100 \frac{Дж}{кг \cdot °C}$).</p><p>Это означает, что для нагревания керосина на 1 °C требуется меньше теплоты, чем для нагревания такой же массы воды. Следовательно, получив одинаковое количество теплоты, керосин нагреется сильнее.</p><p>Для более строгого доказательства запишем уравнение теплового баланса для системы "шарик-жидкость". Количество теплоты, отданное шариком, равно количеству теплоты, полученному жидкостью:</p><p>$Q_{отданное} = Q_{полученное}$</p><p>$c_{ш} m_{ш} (T_{ш} - T_{кон}) = c_{ж} m_{ж} (T_{кон} - T_{нач})$</p><p>где $c_{ш}, m_{ш}, T_{ш}$ — параметры шарика, $c_{ж}, m_{ж}, T_{нач}$ — начальные параметры жидкости, а $T_{кон}$ — конечная температура системы.</p><p>Выразим из этого уравнения изменение температуры жидкости $\Delta T_{ж} = T_{кон} - T_{нач}$:</p><p>$\Delta T_{ж} = \frac{c_{ш} m_{ш} (T_{ш} - T_{нач})}{c_{ж} m_{ж} + c_{ш} m_{ш}}$</p><p>В этой формуле все величины, кроме удельной теплоемкости жидкости $c_{ж}$, для обоих опытов одинаковы. Значит, изменение температуры жидкости $\Delta T_{ж}$ обратно пропорционально ее удельной теплоемкости $c_{ж}$.</p><p>Поскольку удельная теплоемкость воды больше удельной теплоемкости керосина ($c_{в} > c_{к}$), то изменение температуры воды будет меньше изменения температуры керосина ($\Delta T_{в} < \Delta T_{к}$). Так как начальные температуры жидкостей были одинаковы, керосин нагреется до более высокой конечной температуры.</p><p><strong>Ответ:</strong> до более высокой температуры нагреется керосин.</p><p><strong>2.</strong> <strong>Дано:</strong></p><p>$m = 2,5 \text{ т}$</p><p>Удельная теплота сгорания нефти (справочное значение): $q = 4,4 \cdot 10^7 \frac{Дж}{кг}$</p><p>Перевод в СИ:</p><p>$m = 2,5 \cdot 1000 \text{ кг} = 2500 \text{ кг}$</p><p><strong>Найти:</strong></p><p>$\text{Q}$</p><p><strong>Решение:</strong></p><p>Количество теплоты, выделяющееся при полном сгорании топлива, находится по формуле:</p><p>$Q = q \cdot m$</p><p>где $\text{q}$ — удельная теплота сгорания топлива, $\text{m}$ — масса сгоревшего топлива.</p><p>Подставим числовые значения в формулу:</p><p>$Q = 4,4 \cdot 10^7 \frac{Дж}{кг} \cdot 2500 \text{ кг} = 11000 \cdot 10^7 \text{ Дж} = 1,1 \cdot 10^{11} \text{ Дж}$</p><p>Результат можно также выразить в гигаджоулях (ГДж):</p><p>$1,1 \cdot 10^{11} \text{ Дж} = 110 \cdot 10^9 \text{ Дж} = 110 \text{ ГДж}$</p><p><strong>Ответ:</strong> при полном сгорании 2,5 т нефти выделится $1,1 \cdot 10^{11}$ Дж теплоты.</p><p><strong>3.</strong> <strong>Дано:</strong></p><p>$m_{к} = 4 \text{ кг}$ (масса кирпича)</p><p>$\Delta T_{к} = 63 \text{ °C}$ (изменение температуры кирпича)</p><p>$m_{в} = 4 \text{ кг}$ (масса воды)</p><p>$\Delta T_{в} = 13,2 \text{ °C}$ (изменение температуры воды)</p><p>$Q_{к} = Q_{в}$</p><p>Удельная теплоемкость воды (справочное значение): $c_{в} = 4200 \frac{Дж}{кг \cdot °C}$</p><p><strong>Найти:</strong></p><p>$c_{к}$ (удельная теплоемкость кирпича)</p><p><strong>Решение:</strong></p><p>Количество теплоты, необходимое для нагревания тела, вычисляется по формуле:</p><p>$Q = c \cdot m \cdot \Delta T$</p><p>где $\text{c}$ — удельная теплоемкость, $\text{m}$ — масса, $\Delta T$ — изменение температуры.</p><p>Запишем эту формулу для кирпича и для воды:</p><p>$Q_{к} = c_{к} \cdot m_{к} \cdot \Delta T_{к}$</p><p>$Q_{в} = c_{в} \cdot m_{в} \cdot \Delta T_{в}$</p><p>По условию задачи, количество теплоты, затраченное на нагревание кирпича и воды, одинаково ($Q_{к} = Q_{в}$), и их массы также равны ($m_{к} = m_{в}$).</p><p>Приравняем правые части уравнений:</p><p>$c_{к} \cdot m_{к} \cdot \Delta T_{к} = c_{в} \cdot m_{в} \cdot \Delta T_{в}$</p><p>Поскольку массы равны ($m_{к} = m_{в}$), их можно сократить в обеих частях уравнения:</p><p>$c_{к} \cdot \Delta T_{к} = c_{в} \cdot \Delta T_{в}$</p><p>Выразим искомую удельную теплоемкость кирпича $c_{к}$:</p><p>$c_{к} = c_{в} \frac{\Delta T_{в}}{\Delta T_{к}}$</p><p>Подставим числовые значения:</p><p>$c_{к} = 4200 \frac{Дж}{кг \cdot °C} \cdot \frac{13,2 \text{ °C}}{63 \text{ °C}} = 4200 \cdot \frac{13,2}{63} \frac{Дж}{кг \cdot °C} = 880 \frac{Дж}{кг \cdot °C}$</p><p><strong>Ответ:</strong> удельная теплоемкость кирпича равна $880 \frac{Дж}{кг \cdot °C}$.</p>" ] #original: array:6 [ "id" => 1820267 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1084} "task" => array:2 [ "refs" => "1470278" "type" => "task" ] "text" => "<p><strong>1.</strong> При опускании нагретого стального шарика в жидкость происходит теплообмен: шарик отдает тепло, а жидкость его получает, пока их температуры не выровняются. Количество теплоты $\text{Q}$, необходимое для нагревания вещества, определяется формулой $Q = c m \Delta T$, где $\text{c}$ — удельная теплоемкость вещества, $\text{m}$ — его масса, а $\Delta T$ — изменение температуры.</p><p>Из этой формулы можно выразить изменение температуры: $\Delta T = \frac{Q}{c m}$.</p><p>По условию задачи, массы воды и керосина одинаковы. Однако их удельные теплоемкости различны. Удельная теплоемкость воды ($c_{в} \approx 4200 \frac{Дж}{кг \cdot °C}$) значительно больше удельной теплоемкости керосина ($c_{к} \approx 2100 \frac{Дж}{кг \cdot °C}$).</p><p>Это означает, что для нагревания керосина на 1 °C требуется меньше теплоты, чем для нагревания такой же массы воды. Следовательно, получив одинаковое количество теплоты, керосин нагреется сильнее.</p><p>Для более строгого доказательства запишем уравнение теплового баланса для системы "шарик-жидкость". Количество теплоты, отданное шариком, равно количеству теплоты, полученному жидкостью:</p><p>$Q_{отданное} = Q_{полученное}$</p><p>$c_{ш} m_{ш} (T_{ш} - T_{кон}) = c_{ж} m_{ж} (T_{кон} - T_{нач})$</p><p>где $c_{ш}, m_{ш}, T_{ш}$ — параметры шарика, $c_{ж}, m_{ж}, T_{нач}$ — начальные параметры жидкости, а $T_{кон}$ — конечная температура системы.</p><p>Выразим из этого уравнения изменение температуры жидкости $\Delta T_{ж} = T_{кон} - T_{нач}$:</p><p>$\Delta T_{ж} = \frac{c_{ш} m_{ш} (T_{ш} - T_{нач})}{c_{ж} m_{ж} + c_{ш} m_{ш}}$</p><p>В этой формуле все величины, кроме удельной теплоемкости жидкости $c_{ж}$, для обоих опытов одинаковы. Значит, изменение температуры жидкости $\Delta T_{ж}$ обратно пропорционально ее удельной теплоемкости $c_{ж}$.</p><p>Поскольку удельная теплоемкость воды больше удельной теплоемкости керосина ($c_{в} > c_{к}$), то изменение температуры воды будет меньше изменения температуры керосина ($\Delta T_{в} < \Delta T_{к}$). Так как начальные температуры жидкостей были одинаковы, керосин нагреется до более высокой конечной температуры.</p><p><strong>Ответ:</strong> до более высокой температуры нагреется керосин.</p><p><strong>2.</strong> <strong>Дано:</strong></p><p>$m = 2,5 \text{ т}$</p><p>Удельная теплота сгорания нефти (справочное значение): $q = 4,4 \cdot 10^7 \frac{Дж}{кг}$</p><p>Перевод в СИ:</p><p>$m = 2,5 \cdot 1000 \text{ кг} = 2500 \text{ кг}$</p><p><strong>Найти:</strong></p><p>$\text{Q}$</p><p><strong>Решение:</strong></p><p>Количество теплоты, выделяющееся при полном сгорании топлива, находится по формуле:</p><p>$Q = q \cdot m$</p><p>где $\text{q}$ — удельная теплота сгорания топлива, $\text{m}$ — масса сгоревшего топлива.</p><p>Подставим числовые значения в формулу:</p><p>$Q = 4,4 \cdot 10^7 \frac{Дж}{кг} \cdot 2500 \text{ кг} = 11000 \cdot 10^7 \text{ Дж} = 1,1 \cdot 10^{11} \text{ Дж}$</p><p>Результат можно также выразить в гигаджоулях (ГДж):</p><p>$1,1 \cdot 10^{11} \text{ Дж} = 110 \cdot 10^9 \text{ Дж} = 110 \text{ ГДж}$</p><p><strong>Ответ:</strong> при полном сгорании 2,5 т нефти выделится $1,1 \cdot 10^{11}$ Дж теплоты.</p><p><strong>3.</strong> <strong>Дано:</strong></p><p>$m_{к} = 4 \text{ кг}$ (масса кирпича)</p><p>$\Delta T_{к} = 63 \text{ °C}$ (изменение температуры кирпича)</p><p>$m_{в} = 4 \text{ кг}$ (масса воды)</p><p>$\Delta T_{в} = 13,2 \text{ °C}$ (изменение температуры воды)</p><p>$Q_{к} = Q_{в}$</p><p>Удельная теплоемкость воды (справочное значение): $c_{в} = 4200 \frac{Дж}{кг \cdot °C}$</p><p><strong>Найти:</strong></p><p>$c_{к}$ (удельная теплоемкость кирпича)</p><p><strong>Решение:</strong></p><p>Количество теплоты, необходимое для нагревания тела, вычисляется по формуле:</p><p>$Q = c \cdot m \cdot \Delta T$</p><p>где $\text{c}$ — удельная теплоемкость, $\text{m}$ — масса, $\Delta T$ — изменение температуры.</p><p>Запишем эту формулу для кирпича и для воды:</p><p>$Q_{к} = c_{к} \cdot m_{к} \cdot \Delta T_{к}$</p><p>$Q_{в} = c_{в} \cdot m_{в} \cdot \Delta T_{в}$</p><p>По условию задачи, количество теплоты, затраченное на нагревание кирпича и воды, одинаково ($Q_{к} = Q_{в}$), и их массы также равны ($m_{к} = m_{в}$).</p><p>Приравняем правые части уравнений:</p><p>$c_{к} \cdot m_{к} \cdot \Delta T_{к} = c_{в} \cdot m_{в} \cdot \Delta T_{в}$</p><p>Поскольку массы равны ($m_{к} = m_{в}$), их можно сократить в обеих частях уравнения:</p><p>$c_{к} \cdot \Delta T_{к} = c_{в} \cdot \Delta T_{в}$</p><p>Выразим искомую удельную теплоемкость кирпича $c_{к}$:</p><p>$c_{к} = c_{в} \frac{\Delta T_{в}}{\Delta T_{к}}$</p><p>Подставим числовые значения:</p><p>$c_{к} = 4200 \frac{Дж}{кг \cdot °C} \cdot \frac{13,2 \text{ °C}}{63 \text{ °C}} = 4200 \cdot \frac{13,2}{63} \frac{Дж}{кг \cdot °C} = 880 \frac{Дж}{кг \cdot °C}$</p><p><strong>Ответ:</strong> удельная теплоемкость кирпича равна $880 \frac{Дж}{кг \cdot °C}$.</p>" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] 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Вариант 9 (с. 69)
Условие. Вариант 9 (с. 69)
скриншот условия
Вариант 9
1. Два одинаковых стальных шарика нагрели до одной и той же температуры. Один шарик опустили в стакан с водой, другой — в стакан с керосином. Какая жидкость нагреется до более высокой температуры? Масса воды и керосина, а также их начальная температура одинаковы.
2. Какое количество теплоты выделится при полном сгорании 2,5 т нефти?
3. На нагревание кирпича массой 4 кг на 63 $^\circ \text{C}$ требуется такое же количество теплоты, как и на нагревание воды той же массы на 13,2 $^\circ \text{C}$. Определите удельную теплоёмкость кирпича.
Решение. Вариант 9 (с. 69)
1. При опускании нагретого стального шарика в жидкость происходит теплообмен: шарик отдает тепло, а жидкость его получает, пока их температуры не выровняются. Количество теплоты $\text{Q}$, необходимое для нагревания вещества, определяется формулой $Q = c m \Delta T$, где $\text{c}$ — удельная теплоемкость вещества, $\text{m}$ — его масса, а $\Delta T$ — изменение температуры.
Из этой формулы можно выразить изменение температуры: $\Delta T = \frac{Q}{c m}$.
По условию задачи, массы воды и керосина одинаковы. Однако их удельные теплоемкости различны. Удельная теплоемкость воды ($c_{в} \approx 4200 \frac{Дж}{кг \cdot °C}$) значительно больше удельной теплоемкости керосина ($c_{к} \approx 2100 \frac{Дж}{кг \cdot °C}$).
Это означает, что для нагревания керосина на 1 °C требуется меньше теплоты, чем для нагревания такой же массы воды. Следовательно, получив одинаковое количество теплоты, керосин нагреется сильнее.
Для более строгого доказательства запишем уравнение теплового баланса для системы "шарик-жидкость". Количество теплоты, отданное шариком, равно количеству теплоты, полученному жидкостью:
$Q_{отданное} = Q_{полученное}$
$c_{ш} m_{ш} (T_{ш} - T_{кон}) = c_{ж} m_{ж} (T_{кон} - T_{нач})$
где $c_{ш}, m_{ш}, T_{ш}$ — параметры шарика, $c_{ж}, m_{ж}, T_{нач}$ — начальные параметры жидкости, а $T_{кон}$ — конечная температура системы.
Выразим из этого уравнения изменение температуры жидкости $\Delta T_{ж} = T_{кон} - T_{нач}$:
$\Delta T_{ж} = \frac{c_{ш} m_{ш} (T_{ш} - T_{нач})}{c_{ж} m_{ж} + c_{ш} m_{ш}}$
В этой формуле все величины, кроме удельной теплоемкости жидкости $c_{ж}$, для обоих опытов одинаковы. Значит, изменение температуры жидкости $\Delta T_{ж}$ обратно пропорционально ее удельной теплоемкости $c_{ж}$.
Поскольку удельная теплоемкость воды больше удельной теплоемкости керосина ($c_{в} > c_{к}$), то изменение температуры воды будет меньше изменения температуры керосина ($\Delta T_{в} < \Delta T_{к}$). Так как начальные температуры жидкостей были одинаковы, керосин нагреется до более высокой конечной температуры.
Ответ: до более высокой температуры нагреется керосин.
2. Дано:
$m = 2,5 \text{ т}$
Удельная теплота сгорания нефти (справочное значение): $q = 4,4 \cdot 10^7 \frac{Дж}{кг}$
Перевод в СИ:
$m = 2,5 \cdot 1000 \text{ кг} = 2500 \text{ кг}$
Найти:
$\text{Q}$
Решение:
Количество теплоты, выделяющееся при полном сгорании топлива, находится по формуле:
$Q = q \cdot m$
где $\text{q}$ — удельная теплота сгорания топлива, $\text{m}$ — масса сгоревшего топлива.
Подставим числовые значения в формулу:
$Q = 4,4 \cdot 10^7 \frac{Дж}{кг} \cdot 2500 \text{ кг} = 11000 \cdot 10^7 \text{ Дж} = 1,1 \cdot 10^{11} \text{ Дж}$
Результат можно также выразить в гигаджоулях (ГДж):
$1,1 \cdot 10^{11} \text{ Дж} = 110 \cdot 10^9 \text{ Дж} = 110 \text{ ГДж}$
Ответ: при полном сгорании 2,5 т нефти выделится $1,1 \cdot 10^{11}$ Дж теплоты.
3. Дано:
$m_{к} = 4 \text{ кг}$ (масса кирпича)
$\Delta T_{к} = 63 \text{ °C}$ (изменение температуры кирпича)
$m_{в} = 4 \text{ кг}$ (масса воды)
$\Delta T_{в} = 13,2 \text{ °C}$ (изменение температуры воды)
$Q_{к} = Q_{в}$
Удельная теплоемкость воды (справочное значение): $c_{в} = 4200 \frac{Дж}{кг \cdot °C}$
Найти:
$c_{к}$ (удельная теплоемкость кирпича)
Решение:
Количество теплоты, необходимое для нагревания тела, вычисляется по формуле:
$Q = c \cdot m \cdot \Delta T$
где $\text{c}$ — удельная теплоемкость, $\text{m}$ — масса, $\Delta T$ — изменение температуры.
Запишем эту формулу для кирпича и для воды:
$Q_{к} = c_{к} \cdot m_{к} \cdot \Delta T_{к}$
$Q_{в} = c_{в} \cdot m_{в} \cdot \Delta T_{в}$
По условию задачи, количество теплоты, затраченное на нагревание кирпича и воды, одинаково ($Q_{к} = Q_{в}$), и их массы также равны ($m_{к} = m_{в}$).
Приравняем правые части уравнений:
$c_{к} \cdot m_{к} \cdot \Delta T_{к} = c_{в} \cdot m_{в} \cdot \Delta T_{в}$
Поскольку массы равны ($m_{к} = m_{в}$), их можно сократить в обеих частях уравнения:
$c_{к} \cdot \Delta T_{к} = c_{в} \cdot \Delta T_{в}$
Выразим искомую удельную теплоемкость кирпича $c_{к}$:
$c_{к} = c_{в} \frac{\Delta T_{в}}{\Delta T_{к}}$
Подставим числовые значения:
$c_{к} = 4200 \frac{Дж}{кг \cdot °C} \cdot \frac{13,2 \text{ °C}}{63 \text{ °C}} = 4200 \cdot \frac{13,2}{63} \frac{Дж}{кг \cdot °C} = 880 \frac{Дж}{кг \cdot °C}$
Ответ: удельная теплоемкость кирпича равна $880 \frac{Дж}{кг \cdot °C}$.
Другие задания:
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