Номер 75.6, страница 253 - гдз по физике 7-9 класс сборник задач Лукашик, Иванова

Физика, 7-9 класс Сборник задач, авторы: Лукашик Владимир Иванович, Иванова Елена Владимировна, издательство Просвещение, Москва, 2021, голубого цвета

Авторы: Лукашик В. И., Иванова Е. В.

Тип: Сборник задач

Издательство: Просвещение

Год издания: 2021 - 2026

Цвет обложки: голубой

ISBN: 978-5-09-090938-9

Глава 10. Квантовые явления. Параграф 75. Элементарные частицы. Взаимосвязь энергии и массы - номер 75.6, страница 253.

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" => 580639
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "253"
    "field_page_end" => null
    "field_url" => "/7-klass/fizika/lukashik/75-6"
    "field_display_title" => "75.6"
    "field_outside_task" => null
    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1037
      #items: array:1 [
        0 => App\Models\Term {#1036
          #connection: "mysql"
          #table: "terms"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: false
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          +preventsLazyLoading: false
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          #escapeWhenCastingToString: false
          #attributes: array:6 [
            "id" => 26
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "name" => "номер"
            "field_cases" => array:6 [
              "field_accusative_case" => "номер"
              "field_creative_case" => "номером"
              "field_dative_case" => "номеру"
              "field_genitive_case" => "номера"
              "field_nominative_case" => "номер"
              "field_prepositional_case" => "номере"
            ]
            "field_short_name" => ""
          ]
          #original: array:6 [
            "id" => 26
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "name" => "номер"
            "field_cases" => array:6 [
              "field_accusative_case" => "номер"
              "field_creative_case" => "номером"
              "field_dative_case" => "номеру"
              "field_genitive_case" => "номера"
              "field_nominative_case" => "номер"
              "field_prepositional_case" => "номере"
            ]
            "field_short_name" => ""
          ]
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            0 => "*"
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    "field_h1" => null
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    "field_description_bottom" => null
    "field_match" => null
    "breadcrumbs" => []
    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1035
      #items: []
      #escapeWhenCastingToString: false
    }
    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1046
      #items: array:1 [
        0 => App\Models\Branch {#1045
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
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          #attributes: array:24 [
            "id" => 578441
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Квантовые явления"
            "field_branch_order" => "10"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1050
              #items: array:1 [
                0 => App\Models\Term {#1047
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
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                  #attributes: array:7 [
                    "id" => 29
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Глава"
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                    "field_page_check_not_needed" => null
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                  #original: array:7 [
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                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Глава"
                    "field_cases" => array:6 [ …6]
                    "field_page_check_not_needed" => null
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                  ]
                  #changes: []
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            "book" => Illuminate\Database\Eloquent\Collection {#1083
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                0 => App\Models\Book {#1049
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                  #table: "books"
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                  #attributes: array:50 [
                    "id" => 95
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1051
                      #items: array:1 [
                        0 => App\Models\Term {#1048
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
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                          #with: []
                          #withCount: []
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                          #attributes: array:10 [
                            "id" => 6493
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Физика"
                            "field_abbreviated_name" => null
                            "field_cases" => array:6 [ …6]
                            "field_foreign_lang_name" => null
                            "field_short_name" => null
                            "field_subject_type" => "technical_subject"
                            "field_translit" => "fizika"
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                          #original: array:10 [
                            "id" => 6493
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Физика"
                            "field_abbreviated_name" => null
                            "field_cases" => array:6 [ …6]
                            "field_foreign_lang_name" => null
                            "field_short_name" => null
                            "field_subject_type" => "technical_subject"
                            "field_translit" => "fizika"
                          ]
                          #changes: []
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                          #dateFormat: null
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                          #hidden: []
                          #visible: []
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                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1052
                      #items: array:3 [
                        0 => App\Models\Term {#1053
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
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                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 5456
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "7"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "sedmoj"
                          ]
                          #original: array:6 [
                            "id" => 5456
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "7"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "sedmoj"
                          ]
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                          #hidden: []
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                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                        1 => App\Models\Term {#1054
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
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                            "id" => 5457
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "8"
                            "field_cases" => array:6 [ …6]
                            "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 [ …6]
                            "field_translit" => "vosmoj"
                          ]
                          #changes: []
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                          #attributeCastCache: []
                          #dateFormat: null
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                          #dispatchesEvents: []
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                          #touches: []
                          +timestamps: true
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                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                        2 => App\Models\Term {#1055
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
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                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 5458
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "9"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "devjatyj"
                          ]
                          #original: array:6 [
                            "id" => 5458
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "9"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "devjatyj"
                          ]
                          #changes: []
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                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1056
                      #items: array:1 [
                        0 => App\Models\Term {#1057
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
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                          #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"
                          ]
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                      ]
                      #escapeWhenCastingToString: false
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                    "field_author" => Illuminate\Database\Eloquent\Collection {#1058
                      #items: array:2 [
                        0 => App\Models\Term {#1059
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
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                          #escapeWhenCastingToString: false
                          #attributes: array:12 [
                            "id" => 5023
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Владимир"
                            "field_patronymic" => "Иванович"
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                          #original: array:12 [
                            "id" => 5023
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                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
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                            "field_patronymic" => "Иванович"
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                          #changes: []
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                        1 => App\Models\Term {#1060
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
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                          #attributes: array:12 [
                            "id" => 4476
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                            "field_foreign_lang_patronymic" => null
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                            "field_name" => "Елена"
                            "field_patronymic" => "Владимировна"
                            "field_surname_rp" => null
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                          #original: array:12 [
                            "id" => 4476
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                      #items: array:1 [
                        0 => App\Models\Term {#1063
                          #connection: "mysql"
                          #table: "terms"
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                            "field_plural_form" => null
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                          #original: array:10 [
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                            "updated_at" => null
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                    "field_country" => Illuminate\Database\Eloquent\Collection {#1064
                      #items: array:1 [
                        0 => App\Models\Term {#1065
                          #connection: "mysql"
                          #table: "terms"
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                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Россия"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "rossiya"
                          ]
                          #original: array:6 [
                            "id" => 9
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                    "field_description_bottom" => "<!--Текст в низу страницы--> <h2> Как хорошо усвоить физику? </h2> <p> Каждый предмет требует от ребят предельного внимания, так как легко допустить ошибку, которая сведет на нет все ранее потраченные усилия. Физика в этом плане не стала исключение. Кому-то из учеников данная наука дается легко, а некоторые не могут понять даже элементарные вещи. Но порой и отличникам требуется помощь, чтобы лучше разобрать параграф или убедиться в своей правоте. Поэтому работа с <strong>ГДЗ к сборнику задач по физике 7-9 класс Лукашик, Иванова (Просвещение, 2021-2023 гг.)</strong> будет полезна всем детям. </p> <p> Школьникам предстоит изучить следующие непростые темы: </p> <ol> <li>Физические тела. Физические явления.</li> <li>Механическое движение и его относительность. Траектория. Путь. Перемещение.</li> <li>Взаимодействие тел. Масса тел.</li> <li>Сложение и разложение сил.</li> <li>Давление твёрдых тел, жидкостей и газов.</li> <li>Работа и мощность. Простые механизмы. Энергия, и т.д.</li> </ol> <p> Физические законы применимы буквально повсюду, поэтому важно научиться в них разбираться. Для этого необходимо хорошо знать теорию. Но порой в учебниках она практически отсутствует, уступая место бесконечным практическим упражнениям. Понятное дело, что ученикам нужно тренироваться в выполнении заданий, но и понять основные нюансы пройденной темы им тоже важно. В решебнике можно найти подробные пояснения по всем параграфам, которые позволят понять, каким образом использовать те или иные изученные формулы. </p> <h2> Какую роль играет ГДЗ? </h2> <p> 7-9 классы - своеобразный период. Дети уже вроде бы и выросли, но все равно нуждаются в поддержке взрослых, хоть и обращаются к ним за помощью крайне редко. По большей части ребята пытаются разобраться в возникающих проблемах самостоятельно, порой усугубляя их неимоверно. <strong>Решебник Лукашика к сборнику задач 7-9 класс</strong> поможет школьникам полноценно освоить дисциплину, приобрести полноценные навыки. </p> <p> Занимаясь с изданием, ученики получают возможность: </p> <ol> <li>проверить правильность выполненных домашних заданий;</li> <li>внимательно изучить все допущенные ошибки;</li> <li>понять суть сложных заданий;</li> <li>основательно запомнить все правила и применяемые уравнения.</li> </ol> <p> В решебнике есть вся необходимая для учащихся информация. Тщательно изучая ее, они приобретут положенные знания, причем сделают это самостоятельно и значительно быстрее, чем если бы посещали дополнительные курсы или репетитора. Авторы справочника изложили все сведения в нем предельно просто, поэтому даже сильно отставшие от программы подростки смогут запросто ее нагнать. </p> <h2> Почему решебник помогает? </h2> <p> Казалось бы, изучать предмет школьники должны на уроке, где учитель поясняет им новые темы и рассказывает, как работать с материалом. Однако не все ребята воспринимают слова преподавателя. Некоторые и вовсе умудряются пропустить все мимо ушей. Кто-то стесняется переспрашивать, если что-то осталось непонятным. <strong>Готовые ответы по физике к сборнику задач за 7-9 класс Лукашик В.И.</strong> станет отличным дополнением, откуда ученики смогут почерпнуть недостающие сведения. </p> <p> В издании представлено много актуальной информации: </p> <ul> <li>верные ответы к каждому упражнению;</li> <li>развернутые готовые решения;</li> <li>заполненные таблицы, графики и схемы;</li> <li>детальные наглядные примеры.</li> </ul> <p> Все, что требуется от учащихся при работе с решебником - это ответственный подход. Не стоит списывать номера и думать, что учитель ничего не заметит. Особых знаний копирование заданий не приносит, так что появившиеся пробелы обнаружатся на первой же контрольной. Используя же справочник для самопроверки и работы над ошибками, подростки обеспечат себе надежный плацдарм. </p>"
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                    "field_description_bottom" => "<!--Текст в низу страницы--> <h2> Как хорошо усвоить физику? </h2> <p> Каждый предмет требует от ребят предельного внимания, так как легко допустить ошибку, которая сведет на нет все ранее потраченные усилия. Физика в этом плане не стала исключение. Кому-то из учеников данная наука дается легко, а некоторые не могут понять даже элементарные вещи. Но порой и отличникам требуется помощь, чтобы лучше разобрать параграф или убедиться в своей правоте. Поэтому работа с <strong>ГДЗ к сборнику задач по физике 7-9 класс Лукашик, Иванова (Просвещение, 2021-2023 гг.)</strong> будет полезна всем детям. </p> <p> Школьникам предстоит изучить следующие непростые темы: </p> <ol> <li>Физические тела. Физические явления.</li> <li>Механическое движение и его относительность. Траектория. Путь. Перемещение.</li> <li>Взаимодействие тел. Масса тел.</li> <li>Сложение и разложение сил.</li> <li>Давление твёрдых тел, жидкостей и газов.</li> <li>Работа и мощность. Простые механизмы. Энергия, и т.д.</li> </ol> <p> Физические законы применимы буквально повсюду, поэтому важно научиться в них разбираться. Для этого необходимо хорошо знать теорию. Но порой в учебниках она практически отсутствует, уступая место бесконечным практическим упражнениям. Понятное дело, что ученикам нужно тренироваться в выполнении заданий, но и понять основные нюансы пройденной темы им тоже важно. В решебнике можно найти подробные пояснения по всем параграфам, которые позволят понять, каким образом использовать те или иные изученные формулы. </p> <h2> Какую роль играет ГДЗ? </h2> <p> 7-9 классы - своеобразный период. Дети уже вроде бы и выросли, но все равно нуждаются в поддержке взрослых, хоть и обращаются к ним за помощью крайне редко. По большей части ребята пытаются разобраться в возникающих проблемах самостоятельно, порой усугубляя их неимоверно. <strong>Решебник Лукашика к сборнику задач 7-9 класс</strong> поможет школьникам полноценно освоить дисциплину, приобрести полноценные навыки. </p> <p> Занимаясь с изданием, ученики получают возможность: </p> <ol> <li>проверить правильность выполненных домашних заданий;</li> <li>внимательно изучить все допущенные ошибки;</li> <li>понять суть сложных заданий;</li> <li>основательно запомнить все правила и применяемые уравнения.</li> </ol> <p> В решебнике есть вся необходимая для учащихся информация. Тщательно изучая ее, они приобретут положенные знания, причем сделают это самостоятельно и значительно быстрее, чем если бы посещали дополнительные курсы или репетитора. Авторы справочника изложили все сведения в нем предельно просто, поэтому даже сильно отставшие от программы подростки смогут запросто ее нагнать. </p> <h2> Почему решебник помогает? </h2> <p> Казалось бы, изучать предмет школьники должны на уроке, где учитель поясняет им новые темы и рассказывает, как работать с материалом. Однако не все ребята воспринимают слова преподавателя. Некоторые и вовсе умудряются пропустить все мимо ушей. Кто-то стесняется переспрашивать, если что-то осталось непонятным. <strong>Готовые ответы по физике к сборнику задач за 7-9 класс Лукашик В.И.</strong> станет отличным дополнением, откуда ученики смогут почерпнуть недостающие сведения. </p> <p> В издании представлено много актуальной информации: </p> <ul> <li>верные ответы к каждому упражнению;</li> <li>развернутые готовые решения;</li> <li>заполненные таблицы, графики и схемы;</li> <li>детальные наглядные примеры.</li> </ul> <p> Все, что требуется от учащихся при работе с решебником - это ответственный подход. Не стоит списывать номера и думать, что учитель ничего не заметит. Особых знаний копирование заданий не приносит, так что появившиеся пробелы обнаружатся на первой же контрольной. Используя же справочник для самопроверки и работы над ошибками, подростки обеспечат себе надежный плацдарм. </p>"
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            "text" => "<p><strong>Дано:</strong></p><p>Ядра изотопов водорода: протий (${}^1_1H$), дейтерий (${}^2_1H$), тритий (${}^3_1H$).</p><p>Масса протона: $m_p = 1.007276 \text{ а.е.м.}$</p><p>Масса нейтрона: $m_n = 1.008665 \text{ а.е.м.}$</p><p>Масса ядра дейтерия (дейтрона): $m_d = 2.013553 \text{ а.е.м.}$</p><p>Масса ядра трития (тритона): $m_t = 3.015500 \text{ а.е.м.}$</p><p><strong>Найти:</strong></p><p>Дефект массы ядра протия: $Δm_p$</p><p>Дефект массы ядра дейтерия: $Δm_d$</p><p>Дефект массы ядра трития: $Δm_t$</p><p><strong>Решение:</strong></p><p>Дефект массы ядра $Δm$ — это разность между суммой масс всех нуклонов (протонов и нейтронов), из которых состоит ядро, и действительной массой самого ядра. Он рассчитывается по формуле:</p><p>$Δm = (Z \cdot m_p + N \cdot m_n) - m_{ядра}$</p><p>где $Z$ — число протонов в ядре (зарядовое число), $N$ — число нейтронов, $m_p$ — масса протона, $m_n$ — масса нейтрона, а $m_{ядра}$ — масса ядра.</p><p><strong>протия</strong></p><p>Ядро протия (${}^1_1H$) состоит из одного протона. Следовательно, число протонов $Z=1$, а число нейтронов $N=0$. Масса ядра протия равна массе одного протона $m_{ядра} = m_p$.</p><p>Подставим эти значения в формулу для дефекта массы:</p><p>$Δm_p = (1 \cdot m_p + 0 \cdot m_n) - m_p = m_p - m_p = 0$</p><p>Дефект массы для ядра протия равен нулю, так как ядро состоит из одного нуклона и нет энергии связи, которая проявляется как дефект массы.</p><p><strong>Ответ:</strong> $Δm_p = 0 \text{ а.е.м.}$</p><p><strong>дейтерия</strong></p><p>Ядро дейтерия (${}^2_1H$), или дейтрон, состоит из одного протона ($Z=1$) и одного нейтрона ($N=1$).</p><p>Сумма масс составляющих его нуклонов:</p><p>$Z \cdot m_p + N \cdot m_n = 1 \cdot 1.007276 \text{ а.е.м.} + 1 \cdot 1.008665 \text{ а.е.м.} = 2.015941 \text{ а.е.м.}$</p><p>Масса ядра дейтерия $m_d = 2.013553 \text{ а.е.м.}$.</p><p>Дефект массы ядра дейтерия:</p><p>$Δm_d = (Z \cdot m_p + N \cdot m_n) - m_d = 2.015941 \text{ а.е.м.} - 2.013553 \text{ а.е.м.} = 0.002388 \text{ а.е.м.}$</p><p><strong>Ответ:</strong> $Δm_d = 0.002388 \text{ а.е.м.}$</p><p><strong>трития</strong></p><p>Ядро трития (${}^3_1H$), или тритон, состоит из одного протона ($Z=1$) и двух нейтронов ($N=2$).</p><p>Сумма масс составляющих его нуклонов:</p><p>$Z \cdot m_p + N \cdot m_n = 1 \cdot 1.007276 \text{ а.е.м.} + 2 \cdot 1.008665 \text{ а.е.м.} = 1.007276 \text{ а.е.м.} + 2.017330 \text{ а.е.м.} = 3.024606 \text{ а.е.м.}$</p><p>Масса ядра трития $m_t = 3.015500 \text{ а.е.м.}$.</p><p>Дефект массы ядра трития:</p><p>$Δm_t = (Z \cdot m_p + N \cdot m_n) - m_t = 3.024606 \text{ а.е.м.} - 3.015500 \text{ а.е.м.} = 0.009106 \text{ а.е.м.}$</p><p><strong>Ответ:</strong> $Δm_t = 0.009106 \text{ а.е.м.}$</p>"
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            "text" => "<p><strong>Дано:</strong></p><p>Ядра изотопов водорода: протий (${}^1_1H$), дейтерий (${}^2_1H$), тритий (${}^3_1H$).</p><p>Масса протона: $m_p = 1.007276 \text{ а.е.м.}$</p><p>Масса нейтрона: $m_n = 1.008665 \text{ а.е.м.}$</p><p>Масса ядра дейтерия (дейтрона): $m_d = 2.013553 \text{ а.е.м.}$</p><p>Масса ядра трития (тритона): $m_t = 3.015500 \text{ а.е.м.}$</p><p><strong>Найти:</strong></p><p>Дефект массы ядра протия: $Δm_p$</p><p>Дефект массы ядра дейтерия: $Δm_d$</p><p>Дефект массы ядра трития: $Δm_t$</p><p><strong>Решение:</strong></p><p>Дефект массы ядра $Δm$ — это разность между суммой масс всех нуклонов (протонов и нейтронов), из которых состоит ядро, и действительной массой самого ядра. Он рассчитывается по формуле:</p><p>$Δm = (Z \cdot m_p + N \cdot m_n) - m_{ядра}$</p><p>где $Z$ — число протонов в ядре (зарядовое число), $N$ — число нейтронов, $m_p$ — масса протона, $m_n$ — масса нейтрона, а $m_{ядра}$ — масса ядра.</p><p><strong>протия</strong></p><p>Ядро протия (${}^1_1H$) состоит из одного протона. Следовательно, число протонов $Z=1$, а число нейтронов $N=0$. Масса ядра протия равна массе одного протона $m_{ядра} = m_p$.</p><p>Подставим эти значения в формулу для дефекта массы:</p><p>$Δm_p = (1 \cdot m_p + 0 \cdot m_n) - m_p = m_p - m_p = 0$</p><p>Дефект массы для ядра протия равен нулю, так как ядро состоит из одного нуклона и нет энергии связи, которая проявляется как дефект массы.</p><p><strong>Ответ:</strong> $Δm_p = 0 \text{ а.е.м.}$</p><p><strong>дейтерия</strong></p><p>Ядро дейтерия (${}^2_1H$), или дейтрон, состоит из одного протона ($Z=1$) и одного нейтрона ($N=1$).</p><p>Сумма масс составляющих его нуклонов:</p><p>$Z \cdot m_p + N \cdot m_n = 1 \cdot 1.007276 \text{ а.е.м.} + 1 \cdot 1.008665 \text{ а.е.м.} = 2.015941 \text{ а.е.м.}$</p><p>Масса ядра дейтерия $m_d = 2.013553 \text{ а.е.м.}$.</p><p>Дефект массы ядра дейтерия:</p><p>$Δm_d = (Z \cdot m_p + N \cdot m_n) - m_d = 2.015941 \text{ а.е.м.} - 2.013553 \text{ а.е.м.} = 0.002388 \text{ а.е.м.}$</p><p><strong>Ответ:</strong> $Δm_d = 0.002388 \text{ а.е.м.}$</p><p><strong>трития</strong></p><p>Ядро трития (${}^3_1H$), или тритон, состоит из одного протона ($Z=1$) и двух нейтронов ($N=2$).</p><p>Сумма масс составляющих его нуклонов:</p><p>$Z \cdot m_p + N \cdot m_n = 1 \cdot 1.007276 \text{ а.е.м.} + 2 \cdot 1.008665 \text{ а.е.м.} = 1.007276 \text{ а.е.м.} + 2.017330 \text{ а.е.м.} = 3.024606 \text{ а.е.м.}$</p><p>Масса ядра трития $m_t = 3.015500 \text{ а.е.м.}$.</p><p>Дефект массы ядра трития:</p><p>$Δm_t = (Z \cdot m_p + N \cdot m_n) - m_t = 3.024606 \text{ а.е.м.} - 3.015500 \text{ а.е.м.} = 0.009106 \text{ а.е.м.}$</p><p><strong>Ответ:</strong> $Δm_t = 0.009106 \text{ а.е.м.}$</p>"
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                }
                1 => App\Models\Task {#1231
                  #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" => 580639
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "253"
                    "field_page_end" => null
                    "field_url" => "/7-klass/fizika/lukashik/75-6"
                    "field_display_title" => "75.6"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1230 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1237 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1239 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1235 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1233 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#1236 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
                    "id" => 580639
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "253"
                    "field_page_end" => null
                    "field_url" => "/7-klass/fizika/lukashik/75-6"
                    "field_display_title" => "75.6"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1230 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1237 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1239 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1235 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1233 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#1236 …2}
                    "page" => array:2 [ …2]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                2 => App\Models\Task {#1234
                  #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" => 580640
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "253"
                    "field_page_end" => null
                    "field_url" => "/7-klass/fizika/lukashik/75-7"
                    "field_display_title" => "75.7"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1247 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1248 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1249 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1250 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1253 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#1264 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
                    "id" => 580640
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "253"
                    "field_page_end" => null
                    "field_url" => "/7-klass/fizika/lukashik/75-7"
                    "field_display_title" => "75.7"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1247 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
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                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1248 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1249 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1250 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1253 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#1264 …2}
                    "page" => array:2 [ …2]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                3 => App\Models\Task {#1252
                  #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" => 580641
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "253"
                    "field_page_end" => null
                    "field_url" => "/7-klass/fizika/lukashik/75-8"
                    "field_display_title" => "75.8"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1251 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1263 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1262 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1261 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1260 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#1305 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
                    "id" => 580641
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "253"
                    "field_page_end" => null
                    "field_url" => "/7-klass/fizika/lukashik/75-8"
                    "field_display_title" => "75.8"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1251 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
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                    "field_description_bottom" => null
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                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1263 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1262 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1261 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1260 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#1305 …2}
                    "page" => array:2 [ …2]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                4 => App\Models\Task {#1258
                  #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" => 580642
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "253"
                    "field_page_end" => null
                    "field_url" => "/7-klass/fizika/lukashik/75-9"
                    "field_display_title" => "75.9"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1259 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1304 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1306 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1257 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1254 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#1324 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
                    "id" => 580642
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "253"
                    "field_page_end" => null
                    "field_url" => "/7-klass/fizika/lukashik/75-9"
                    "field_display_title" => "75.9"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1259 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1304 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1306 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1257 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1254 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#1324 …2}
                    "page" => array:2 [ …2]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                5 => App\Models\Task {#1255
                  #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" => 580643
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "253"
                    "field_page_end" => null
                    "field_url" => "/7-klass/fizika/lukashik/75-10"
                    "field_display_title" => "75.10"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1256 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1323 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1322 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1321 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1320 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#1346 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
                    "id" => 580643
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "253"
                    "field_page_end" => null
                    "field_url" => "/7-klass/fizika/lukashik/75-10"
                    "field_display_title" => "75.10"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1256 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1323 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1322 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1321 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1320 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#1346 …2}
                    "page" => array:2 [ …2]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                6 => App\Models\Task {#1318
                  #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" => 580644
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "253"
                    "field_page_end" => null
                    "field_url" => "/7-klass/fizika/lukashik/75-11"
                    "field_display_title" => "75.11"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1319 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1345 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1344 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1343 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1342 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#1363 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
                    "id" => 580644
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "253"
                    "field_page_end" => null
                    "field_url" => "/7-klass/fizika/lukashik/75-11"
                    "field_display_title" => "75.11"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1319 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                     …10
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                7 => App\Models\Task {#1340
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                8 => App\Models\Task {#1314
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                9 => App\Models\Task {#1376
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                10 => App\Models\Task {#1400
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
            "id" => 910806
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "253"
            "field_url" => "/7-klass/fizika/lukashik/page-253"
            "field_display_title" => "253"
            "field_folder" => "1"
            "field_image_name" => "253"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1040}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1043}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1041}
            "content" => Illuminate\Database\Eloquent\Collection {#1133}
            "next" => array:2 [
              "refs" => "910807"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "910805"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#1207}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
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№75.6 (с. 253)
Условие. №75.6 (с. 253)
скриншот условия
Физика, 7-9 класс Сборник задач, авторы: Лукашик Владимир Иванович, Иванова Елена Владимировна, издательство Просвещение, Москва, 2021, голубого цвета, страница 253, номер 75.6, Условие

75.6 [н] Чему равен дефект массы ядер: протия; дейтерия; трития?

Решение 4. №75.6 (с. 253)
Физика, 7-9 класс Сборник задач, авторы: Лукашик Владимир Иванович, Иванова Елена Владимировна, издательство Просвещение, Москва, 2021, голубого цвета, страница 253, номер 75.6, Решение 4
Решение 7. №75.6 (с. 253)

Дано:

Ядра изотопов водорода: протий (${}^1_1H$), дейтерий (${}^2_1H$), тритий (${}^3_1H$).

Масса протона: $m_p = 1.007276 \text{ а.е.м.}$

Масса нейтрона: $m_n = 1.008665 \text{ а.е.м.}$

Масса ядра дейтерия (дейтрона): $m_d = 2.013553 \text{ а.е.м.}$

Масса ядра трития (тритона): $m_t = 3.015500 \text{ а.е.м.}$

Найти:

Дефект массы ядра протия: $Δm_p$

Дефект массы ядра дейтерия: $Δm_d$

Дефект массы ядра трития: $Δm_t$

Решение:

Дефект массы ядра $Δm$ — это разность между суммой масс всех нуклонов (протонов и нейтронов), из которых состоит ядро, и действительной массой самого ядра. Он рассчитывается по формуле:

$Δm = (Z \cdot m_p + N \cdot m_n) - m_{ядра}$

где $Z$ — число протонов в ядре (зарядовое число), $N$ — число нейтронов, $m_p$ — масса протона, $m_n$ — масса нейтрона, а $m_{ядра}$ — масса ядра.

протия

Ядро протия (${}^1_1H$) состоит из одного протона. Следовательно, число протонов $Z=1$, а число нейтронов $N=0$. Масса ядра протия равна массе одного протона $m_{ядра} = m_p$.

Подставим эти значения в формулу для дефекта массы:

$Δm_p = (1 \cdot m_p + 0 \cdot m_n) - m_p = m_p - m_p = 0$

Дефект массы для ядра протия равен нулю, так как ядро состоит из одного нуклона и нет энергии связи, которая проявляется как дефект массы.

Ответ: $Δm_p = 0 \text{ а.е.м.}$

дейтерия

Ядро дейтерия (${}^2_1H$), или дейтрон, состоит из одного протона ($Z=1$) и одного нейтрона ($N=1$).

Сумма масс составляющих его нуклонов:

$Z \cdot m_p + N \cdot m_n = 1 \cdot 1.007276 \text{ а.е.м.} + 1 \cdot 1.008665 \text{ а.е.м.} = 2.015941 \text{ а.е.м.}$

Масса ядра дейтерия $m_d = 2.013553 \text{ а.е.м.}$.

Дефект массы ядра дейтерия:

$Δm_d = (Z \cdot m_p + N \cdot m_n) - m_d = 2.015941 \text{ а.е.м.} - 2.013553 \text{ а.е.м.} = 0.002388 \text{ а.е.м.}$

Ответ: $Δm_d = 0.002388 \text{ а.е.м.}$

трития

Ядро трития (${}^3_1H$), или тритон, состоит из одного протона ($Z=1$) и двух нейтронов ($N=2$).

Сумма масс составляющих его нуклонов:

$Z \cdot m_p + N \cdot m_n = 1 \cdot 1.007276 \text{ а.е.м.} + 2 \cdot 1.008665 \text{ а.е.м.} = 1.007276 \text{ а.е.м.} + 2.017330 \text{ а.е.м.} = 3.024606 \text{ а.е.м.}$

Масса ядра трития $m_t = 3.015500 \text{ а.е.м.}$.

Дефект массы ядра трития:

$Δm_t = (Z \cdot m_p + N \cdot m_n) - m_t = 3.024606 \text{ а.е.м.} - 3.015500 \text{ а.е.м.} = 0.009106 \text{ а.е.м.}$

Ответ: $Δm_t = 0.009106 \text{ а.е.м.}$

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