Вариант 6, страница 88 - гдз по физике 8 класс дидактические материалы Марон, Марон

Физика, 8 класс Дидактические материалы, авторы: Марон Абрам Евсеевич, Марон Евгений Абрамович, издательство Просвещение, Москва, 2022, белого цвета

Авторы: Марон А. Е., Марон Е. А.

Тип: Дидактические материалы

Издательство: Просвещение

Год издания: 2022 - 2026

Уровень обучения: базовый

Цвет обложки: белый

ISBN: 978-5-09-111138-5

Самостоятельные работы. СР-10. Работа и мощность тока - страница 88.

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                          +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
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                              "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"
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                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_translit" => "stereotipnoe"
                          ]
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                      ]
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                    }
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1144
                      #items: []
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                    }
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
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                    "field_part" => ""
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                    "field_for_whom" => "Учебное пособие"
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                    "field_link_to_source" => null
                    "field_tasks_count" => "661"
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                    "field_default_folder" => "/fizika_08/maron-dm/"
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                    "field_cover" => array:1 [
                      0 => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989"
                    ]
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                      0 => ""
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                    "field_covers" => array:1 [
                      0 => array:4 [
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                    }
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1146
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                    }
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1147
                      #items: []
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                    }
                    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy"
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                        0 => App\Models\Term {#1149
                          #connection: "mysql"
                          #table: "terms"
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                          #keyType: "int"
                          +incrementing: false
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                          #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 [
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                              "field_dative_case" => "белому"
                              "field_genitive_case" => "белого"
                              "field_nominative_case" => "белый"
                              "field_prepositional_case" => "белом"
                            ]
                            "field_translit" => "belyy"
                          ]
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                          #dateFormat: null
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                          #relations: []
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                          #hidden: []
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                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
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                    "breadcrumbs" => array:3 [
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                      "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"
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                    "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: []
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #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: []
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          #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" => 1469788
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "СР-10. Работа и мощность тока"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1153
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "87"
            "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" => 1469788
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "СР-10. Работа и мощность тока"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1153}
            "field_page_start" => "87"
            "field_branch_display" => "0"
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            "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
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            "field_h1" => null
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            "field_branch_cover" => []
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            "book" => Illuminate\Database\Eloquent\Collection {#1154}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1155}
          ]
          #changes: []
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          #attributeCastCache: []
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          #touches: []
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          #visible: []
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          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "content" => Illuminate\Database\Eloquent\Collection {#1100
      #items: array:2 [
        0 => 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:7 [
            "id" => 1760919
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1084
              #items: array:1 [
                0 => App\Models\Edition {#1090
                  #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 {#1088
                      #items: array:1 [
                        0 => App\Models\Term {#1091 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_content_type" => "free"
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                    "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 {#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" => 6406
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1088}
                    "field_content_type" => "free"
                    "field_content_mode" => "text, image"
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                    "field_solution_author" => "Автор"
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                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1089}
                    "field_comment" => null
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                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1087}
                    "field_content_source" => null
                  ]
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                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "task" => array:2 [
              "refs" => "1470345"
              "type" => "task"
            ]
            "text" => "<p><strong>Вариант 6</strong></p><p><strong>1.</strong> На штепсельной розетке указано: «5 А; 250 В». Какой предельной мощности электрический прибор можно включить в эту розетку?</p><p><strong>2.</strong> Напряжение на реостате 20 В, его сопротивление 5 $\Omega$. Определите количество теплоты, выделяемое в реостате за 20 мин.</p><p><strong>3.</strong> Определите силу тока в кипятильнике, который нагревает 1,2 л воды от 12 $^\circ\text{C}$ до кипения за 10 мин, если напряжение в сети 220 В, а КПД кипятильника 90%.</p>"
            "img" => array:1 [
              0 => array:5 [
                "name" => "6-1.jpg"
                "alt" => null
                "width" => "1419"
                "height" => 719
                "path" => "/media/fizika_08/maron-dm/0-cp10/6-1.webp?ts=1760803290"
              ]
            ]
          ]
          #original: array:7 [
            "id" => 1760919
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1084}
            "task" => array:2 [
              "refs" => "1470345"
              "type" => "task"
            ]
            "text" => "<p><strong>Вариант 6</strong></p><p><strong>1.</strong> На штепсельной розетке указано: «5 А; 250 В». Какой предельной мощности электрический прибор можно включить в эту розетку?</p><p><strong>2.</strong> Напряжение на реостате 20 В, его сопротивление 5 $\Omega$. Определите количество теплоты, выделяемое в реостате за 20 мин.</p><p><strong>3.</strong> Определите силу тока в кипятильнике, который нагревает 1,2 л воды от 12 $^\circ\text{C}$ до кипения за 10 мин, если напряжение в сети 220 В, а КПД кипятильника 90%.</p>"
            "img" => array:1 [
              0 => array:5 [
                "name" => "6-1.jpg"
                "alt" => null
                "width" => "1419"
                "height" => 719
                "path" => "/media/fizika_08/maron-dm/0-cp10/6-1.webp?ts=1760803290"
              ]
            ]
          ]
          #changes: []
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          #attributeCastCache: []
          #dateFormat: null
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          #dispatchesEvents: []
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          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Element {#1085
          #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" => 1820334
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1074
              #items: array:1 [
                0 => App\Models\Edition {#1082
                  #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 {#1080
                      #items: array:1 [
                        0 => App\Models\Term {#1083 …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"
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            "text" => "<p><strong>1.</strong> <strong>Дано:</strong></p><p>Предельная сила тока $I_{max} = 5$ А</p><p>Предельное напряжение $U_{max} = 250$ В</p><p><strong>Найти:</strong></p><p>Предельную мощность $P_{max}$ - ?</p><p><strong>Решение:</strong></p><p>Предельная мощность электрического прибора, который можно безопасно включить в розетку, вычисляется по формуле мощности электрического тока:</p><p>$P = U \cdot I$</p><p>Где $\text{P}$ - мощность, $\text{U}$ - напряжение, $\text{I}$ - сила тока. В данном случае используются максимальные значения, указанные на розетке.</p><p>Подставим значения в формулу:</p><p>$P_{max} = 250 \, В \cdot 5 \, А = 1250 \, Вт$</p><p>Мощность можно также выразить в киловаттах: $1250 \, Вт = 1,25 \, кВт$.</p><p><strong>Ответ:</strong> предельная мощность электрического прибора составляет $1250$ Вт или $1,25$ кВт.</p><p><strong>2.</strong> <strong>Дано:</strong></p><p>$U = 20$ В</p><p>$R = 5$ Ом</p><p>$t = 20$ мин</p><p>$t = 20 \cdot 60 = 1200$ с</p><p><strong>Найти:</strong></p><p>$\text{Q}$ - ?</p><p><strong>Решение:</strong></p><p>Количество теплоты, выделяемое в проводнике с током, определяется законом Джоуля-Ленца. Поскольку нам известны напряжение, сопротивление и время, удобно использовать следующую формулу:</p><p>$Q = \frac{U^2}{R} \cdot t$</p><p>Подставим данные значения (в системе СИ) в формулу:</p><p>$Q = \frac{(20 \, В)^2}{5 \, Ом} \cdot 1200 \, с = \frac{400 \, В^2}{5 \, Ом} \cdot 1200 \, с = 80 \, Вт \cdot 1200 \, с = 96000 \, Дж$</p><p>Переведем джоули в килоджоули для удобства: $96000 \, Дж = 96 \, кДж$.</p><p><strong>Ответ:</strong> количество теплоты, выделяемое в реостате, равно $96000$ Дж или $\text{96}$ кДж.</p><p><strong>3.</strong> <strong>Дано:</strong></p><p>$V = 1,2$ л (объем воды)</p><p>$t_1 = 12$ °С (начальная температура)</p><p>$t_2 = 100$ °С (температура кипения воды)</p><p>$t = 10$ мин (время нагрева)</p><p>$U = 220$ В (напряжение в сети)</p><p>$\eta = 90\%$ (КПД кипятильника)</p><p>$c = 4200 \frac{Дж}{кг \cdot °С}$ (удельная теплоемкость воды)</p><p>$\rho = 1000 \frac{кг}{м^3} = 1 \frac{кг}{л}$ (плотность воды)</p><p>$V = 1,2 \cdot 10^{-3} \, м^3$<br>$t = 10 \cdot 60 = 600$ с<br>$\eta = 0,9$</p><p><strong>Найти:</strong></p><p>$\text{I}$ - ?</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Найдем полезное количество теплоты ($Q_{полезная}$), необходимое для нагревания воды от начальной температуры до кипения. Для этого сначала определим массу воды ($\text{m}$):</p><p>$m = \rho \cdot V = 1 \, \frac{кг}{л} \cdot 1,2 \, л = 1,2 \, кг$</p><p>Теперь рассчитаем количество теплоты по формуле:</p><p>$Q_{полезная} = c \cdot m \cdot (t_2 - t_1)$</p><p>$Q_{полезная} = 4200 \, \frac{Дж}{кг \cdot °С} \cdot 1,2 \, кг \cdot (100 \, °С - 12 \, °С) = 5040 \cdot 88 \, Дж = 443520 \, Дж$</p><p><strong>2.</strong> Определим полную (затраченную) энергию ($A_{затраченная}$), которую потребил кипятильник от сети. Коэффициент полезного действия ($\eta$) связывает полезную и затраченную энергию:</p><p>$\eta = \frac{Q_{полезная}}{A_{затраченная}}$</p><p>Отсюда выразим затраченную энергию:</p><p>$A_{затраченная} = \frac{Q_{полезная}}{\eta} = \frac{443520 \, Дж}{0,9} \approx 492800 \, Дж$</p><p><strong>3.</strong> Затраченная энергия - это работа электрического тока, которая вычисляется по формуле:</p><p>$A_{затраченная} = U \cdot I \cdot t$</p><p>Выразим из этой формулы искомую силу тока $\text{I}$:</p><p>$I = \frac{A_{затраченная}}{U \cdot t}$</p><p>Подставим числовые значения:</p><p>$I = \frac{492800 \, Дж}{220 \, В \cdot 600 \, с} = \frac{492800}{132000} \, А \approx 3,73 \, А$</p><p><strong>Ответ:</strong> сила тока в кипятильнике примерно равна $3,73$ А.</p>"
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            "text" => "<p><strong>1.</strong> <strong>Дано:</strong></p><p>Предельная сила тока $I_{max} = 5$ А</p><p>Предельное напряжение $U_{max} = 250$ В</p><p><strong>Найти:</strong></p><p>Предельную мощность $P_{max}$ - ?</p><p><strong>Решение:</strong></p><p>Предельная мощность электрического прибора, который можно безопасно включить в розетку, вычисляется по формуле мощности электрического тока:</p><p>$P = U \cdot I$</p><p>Где $\text{P}$ - мощность, $\text{U}$ - напряжение, $\text{I}$ - сила тока. В данном случае используются максимальные значения, указанные на розетке.</p><p>Подставим значения в формулу:</p><p>$P_{max} = 250 \, В \cdot 5 \, А = 1250 \, Вт$</p><p>Мощность можно также выразить в киловаттах: $1250 \, Вт = 1,25 \, кВт$.</p><p><strong>Ответ:</strong> предельная мощность электрического прибора составляет $1250$ Вт или $1,25$ кВт.</p><p><strong>2.</strong> <strong>Дано:</strong></p><p>$U = 20$ В</p><p>$R = 5$ Ом</p><p>$t = 20$ мин</p><p>$t = 20 \cdot 60 = 1200$ с</p><p><strong>Найти:</strong></p><p>$\text{Q}$ - ?</p><p><strong>Решение:</strong></p><p>Количество теплоты, выделяемое в проводнике с током, определяется законом Джоуля-Ленца. Поскольку нам известны напряжение, сопротивление и время, удобно использовать следующую формулу:</p><p>$Q = \frac{U^2}{R} \cdot t$</p><p>Подставим данные значения (в системе СИ) в формулу:</p><p>$Q = \frac{(20 \, В)^2}{5 \, Ом} \cdot 1200 \, с = \frac{400 \, В^2}{5 \, Ом} \cdot 1200 \, с = 80 \, Вт \cdot 1200 \, с = 96000 \, Дж$</p><p>Переведем джоули в килоджоули для удобства: $96000 \, Дж = 96 \, кДж$.</p><p><strong>Ответ:</strong> количество теплоты, выделяемое в реостате, равно $96000$ Дж или $\text{96}$ кДж.</p><p><strong>3.</strong> <strong>Дано:</strong></p><p>$V = 1,2$ л (объем воды)</p><p>$t_1 = 12$ °С (начальная температура)</p><p>$t_2 = 100$ °С (температура кипения воды)</p><p>$t = 10$ мин (время нагрева)</p><p>$U = 220$ В (напряжение в сети)</p><p>$\eta = 90\%$ (КПД кипятильника)</p><p>$c = 4200 \frac{Дж}{кг \cdot °С}$ (удельная теплоемкость воды)</p><p>$\rho = 1000 \frac{кг}{м^3} = 1 \frac{кг}{л}$ (плотность воды)</p><p>$V = 1,2 \cdot 10^{-3} \, м^3$<br>$t = 10 \cdot 60 = 600$ с<br>$\eta = 0,9$</p><p><strong>Найти:</strong></p><p>$\text{I}$ - ?</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Найдем полезное количество теплоты ($Q_{полезная}$), необходимое для нагревания воды от начальной температуры до кипения. Для этого сначала определим массу воды ($\text{m}$):</p><p>$m = \rho \cdot V = 1 \, \frac{кг}{л} \cdot 1,2 \, л = 1,2 \, кг$</p><p>Теперь рассчитаем количество теплоты по формуле:</p><p>$Q_{полезная} = c \cdot m \cdot (t_2 - t_1)$</p><p>$Q_{полезная} = 4200 \, \frac{Дж}{кг \cdot °С} \cdot 1,2 \, кг \cdot (100 \, °С - 12 \, °С) = 5040 \cdot 88 \, Дж = 443520 \, Дж$</p><p><strong>2.</strong> Определим полную (затраченную) энергию ($A_{затраченная}$), которую потребил кипятильник от сети. Коэффициент полезного действия ($\eta$) связывает полезную и затраченную энергию:</p><p>$\eta = \frac{Q_{полезная}}{A_{затраченная}}$</p><p>Отсюда выразим затраченную энергию:</p><p>$A_{затраченная} = \frac{Q_{полезная}}{\eta} = \frac{443520 \, Дж}{0,9} \approx 492800 \, Дж$</p><p><strong>3.</strong> Затраченная энергия - это работа электрического тока, которая вычисляется по формуле:</p><p>$A_{затраченная} = U \cdot I \cdot t$</p><p>Выразим из этой формулы искомую силу тока $\text{I}$:</p><p>$I = \frac{A_{затраченная}}{U \cdot t}$</p><p>Подставим числовые значения:</p><p>$I = \frac{492800 \, Дж}{220 \, В \cdot 600 \, с} = \frac{492800}{132000} \, А \approx 3,73 \, А$</p><p><strong>Ответ:</strong> сила тока в кипятильнике примерно равна $3,73$ А.</p>"
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Вариант 6 (с. 88)
Условие. Вариант 6 (с. 88)
скриншот условия
Физика, 8 класс Дидактические материалы, авторы: Марон Абрам Евсеевич, Марон Евгений Абрамович, издательство Просвещение, Москва, 2022, белого цвета, страница 88, Условие

Вариант 6

1. На штепсельной розетке указано: «5 А; 250 В». Какой предельной мощности электрический прибор можно включить в эту розетку?

2. Напряжение на реостате 20 В, его сопротивление 5 $\Omega$. Определите количество теплоты, выделяемое в реостате за 20 мин.

3. Определите силу тока в кипятильнике, который нагревает 1,2 л воды от 12 $^\circ\text{C}$ до кипения за 10 мин, если напряжение в сети 220 В, а КПД кипятильника 90%.

Решение. Вариант 6 (с. 88)

1. Дано:

Предельная сила тока $I_{max} = 5$ А

Предельное напряжение $U_{max} = 250$ В

Найти:

Предельную мощность $P_{max}$ - ?

Решение:

Предельная мощность электрического прибора, который можно безопасно включить в розетку, вычисляется по формуле мощности электрического тока:

$P = U \cdot I$

Где $\text{P}$ - мощность, $\text{U}$ - напряжение, $\text{I}$ - сила тока. В данном случае используются максимальные значения, указанные на розетке.

Подставим значения в формулу:

$P_{max} = 250 \, В \cdot 5 \, А = 1250 \, Вт$

Мощность можно также выразить в киловаттах: $1250 \, Вт = 1,25 \, кВт$.

Ответ: предельная мощность электрического прибора составляет $1250$ Вт или $1,25$ кВт.

2. Дано:

$U = 20$ В

$R = 5$ Ом

$t = 20$ мин

$t = 20 \cdot 60 = 1200$ с

Найти:

$\text{Q}$ - ?

Решение:

Количество теплоты, выделяемое в проводнике с током, определяется законом Джоуля-Ленца. Поскольку нам известны напряжение, сопротивление и время, удобно использовать следующую формулу:

$Q = \frac{U^2}{R} \cdot t$

Подставим данные значения (в системе СИ) в формулу:

$Q = \frac{(20 \, В)^2}{5 \, Ом} \cdot 1200 \, с = \frac{400 \, В^2}{5 \, Ом} \cdot 1200 \, с = 80 \, Вт \cdot 1200 \, с = 96000 \, Дж$

Переведем джоули в килоджоули для удобства: $96000 \, Дж = 96 \, кДж$.

Ответ: количество теплоты, выделяемое в реостате, равно $96000$ Дж или $\text{96}$ кДж.

3. Дано:

$V = 1,2$ л (объем воды)

$t_1 = 12$ °С (начальная температура)

$t_2 = 100$ °С (температура кипения воды)

$t = 10$ мин (время нагрева)

$U = 220$ В (напряжение в сети)

$\eta = 90\%$ (КПД кипятильника)

$c = 4200 \frac{Дж}{кг \cdot °С}$ (удельная теплоемкость воды)

$\rho = 1000 \frac{кг}{м^3} = 1 \frac{кг}{л}$ (плотность воды)

$V = 1,2 \cdot 10^{-3} \, м^3$
$t = 10 \cdot 60 = 600$ с
$\eta = 0,9$

Найти:

$\text{I}$ - ?

Решение:

1. Найдем полезное количество теплоты ($Q_{полезная}$), необходимое для нагревания воды от начальной температуры до кипения. Для этого сначала определим массу воды ($\text{m}$):

$m = \rho \cdot V = 1 \, \frac{кг}{л} \cdot 1,2 \, л = 1,2 \, кг$

Теперь рассчитаем количество теплоты по формуле:

$Q_{полезная} = c \cdot m \cdot (t_2 - t_1)$

$Q_{полезная} = 4200 \, \frac{Дж}{кг \cdot °С} \cdot 1,2 \, кг \cdot (100 \, °С - 12 \, °С) = 5040 \cdot 88 \, Дж = 443520 \, Дж$

2. Определим полную (затраченную) энергию ($A_{затраченная}$), которую потребил кипятильник от сети. Коэффициент полезного действия ($\eta$) связывает полезную и затраченную энергию:

$\eta = \frac{Q_{полезная}}{A_{затраченная}}$

Отсюда выразим затраченную энергию:

$A_{затраченная} = \frac{Q_{полезная}}{\eta} = \frac{443520 \, Дж}{0,9} \approx 492800 \, Дж$

3. Затраченная энергия - это работа электрического тока, которая вычисляется по формуле:

$A_{затраченная} = U \cdot I \cdot t$

Выразим из этой формулы искомую силу тока $\text{I}$:

$I = \frac{A_{затраченная}}{U \cdot t}$

Подставим числовые значения:

$I = \frac{492800 \, Дж}{220 \, В \cdot 600 \, с} = \frac{492800}{132000} \, А \approx 3,73 \, А$

Ответ: сила тока в кипятильнике примерно равна $3,73$ А.

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