Номер 6, страница 52 - гдз по физике 9 класс учебник Изергин

Физика, 9 класс Учебник, автор: Изергин Эдуард Тимофеевич, издательство Русское слово, Москва, 2019

Авторы: Изергин Э. Т.

Тип: Учебник

Серия: инновационная школа

Издательство: Русское слово

Год издания: 2019 - 2026

Цвет обложки: синий

ISBN: 978-5-533-01069-6

Глава II. Динамика. Параграф 11. Импульс. Закон сохранения импульса - номер 6, страница 52.

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            "text" => "<p>Поскольку в задании содержится ссылка на экспериментальное задание из учебника (с. 214), текст которого отсутствует, в качестве примера будет приведено выполнение типичного экспериментального задания по физике: "Определение коэффициента трения скольжения".</p><p><strong>Цель работы</strong></p><p>Экспериментально определить коэффициент трения скольжения дерева по дереву.</p><p><strong>Ответ:</strong> Цель работы — определить коэффициент трения скольжения.</p><p><strong>Оборудование</strong></p><p>Деревянный брусок, динамометр, набор грузов известной массы, деревянная доска.</p><p><strong>Ответ:</strong> Для выполнения работы потребуется брусок, динамометр, грузы и доска.</p><p><strong>Теоретическая часть</strong></p><p>Сила трения скольжения $F_{тр}$, возникающая при движении одного тела по поверхности другого, пропорциональна силе нормальной реакции опоры $\text{N}$. Коэффициент пропорциональности $\mu$ называется коэффициентом трения скольжения: $F_{тр} = \mu N$. При равномерном прямолинейном движении тела по горизонтальной поверхности под действием горизонтальной силы тяги $F_{тяги}$, сила тяги по модулю равна силе трения: $F_{тяги} = F_{тр}$. Сила нормальной реакции опоры в данном случае равна силе тяжести, действующей на тело и грузы: $N = mg$. Таким образом, коэффициент трения можно рассчитать по формуле: $\mu = \frac{F_{тяги}}{mg}$.</p><p><strong>Ответ:</strong> Коэффициент трения определяется по формуле $\mu = F_{тр} / N$.</p><p><strong>Ход работы</strong></p><p><strong>1.</strong> Определить массу бруска $m_{бруска}$ с помощью весов.</p><p><strong>2.</strong> Положить брусок на горизонтальную деревянную доску.</p><p><strong>3.</strong> Зацепить брусок динамометром и тянуть его равномерно и прямолинейно вдоль доски. Зафиксировать показание динамометра $F_{тяги1}$. Это значение равно силе трения $F_{тр1}$.</p><p><strong>4.</strong> Положить на брусок один груз известной массы $m_{груза}$. Общая масса системы станет $m_2 = m_{бруска} + m_{груза}$.</p><p><strong>5.</strong> Повторить п. 3, измерив силу тяги $F_{тяги2}$ (равную силе трения $F_{тр2}$).</p><p><strong>6.</strong> Повторить эксперимент, добавив второй груз. Общая масса $m_3 = m_{бруска} + 2m_{груза}$. Измерить силу тяги $F_{тяги3}$ (равную силе трения $F_{тр3}$).</p><p><strong>7.</strong> Занести все данные в таблицу и рассчитать коэффициент трения для каждого случая.</p><p><strong>Ответ:</strong> В ходе работы измеряется сила тяги, необходимая для равномерного движения бруска с разными грузами по доске.</p><p><strong>Обработка результатов и вычисления (пример)</strong></p><p><strong>Дано:</strong></p><p>$m_{бруска} = 200 \text{ г}$</p><p>$m_{груза} = 100 \text{ г}$</p><p>$g \approx 9.8 \text{ м/с}^2$</p><p>Результаты измерений:</p><p>$F_{тяги1} = 0.5 \text{ Н}$</p><p>$F_{тяги2} = 0.75 \text{ Н}$</p><p>$F_{тяги3} = 1.0 \text{ Н}$</p><p><em>Система СИ:</em><br>$m_{бруска} = 0.2 \text{ кг}$<br>$m_{груза} = 0.1 \text{ кг}$</p><p><strong>Найти:</strong></p><p>$\mu_{ср}$ - средний коэффициент трения скольжения.</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Расчет для первого случая (только брусок).</p><p>Сила нормальной реакции опоры: $N_1 = m_{бруска} \cdot g = 0.2 \text{ кг} \cdot 9.8 \text{ м/с}^2 = 1.96 \text{ Н}$.</p><p>Сила трения: $F_{тр1} = F_{тяги1} = 0.5 \text{ Н}$.</p><p>Коэффициент трения: $\mu_1 = \frac{F_{тр1}}{N_1} = \frac{0.5 \text{ Н}}{1.96 \text{ Н}} \approx 0.255$.</p><p><strong>2.</strong> Расчет для второго случая (брусок + 1 груз).</p><p>Общая масса: $m_2 = m_{бруска} + m_{груза} = 0.2 \text{ кг} + 0.1 \text{ кг} = 0.3 \text{ кг}$.</p><p>Сила нормальной реакции: $N_2 = m_2 \cdot g = 0.3 \text{ кг} \cdot 9.8 \text{ м/с}^2 = 2.94 \text{ Н}$.</p><p>Сила трения: $F_{тр2} = F_{тяги2} = 0.75 \text{ Н}$.</p><p>Коэффициент трения: $\mu_2 = \frac{F_{тр2}}{N_2} = \frac{0.75 \text{ Н}}{2.94 \text{ Н}} \approx 0.255$.</p><p><strong>3.</strong> Расчет для третьего случая (брусок + 2 груза).</p><p>Общая масса: $m_3 = m_{бруска} + 2m_{груза} = 0.2 \text{ кг} + 2 \cdot 0.1 \text{ кг} = 0.4 \text{ кг}$.</p><p>Сила нормальной реакции: $N_3 = m_3 \cdot g = 0.4 \text{ кг} \cdot 9.8 \text{ м/с}^2 = 3.92 \text{ Н}$.</p><p>Сила трения: $F_{тр3} = F_{тяги3} = 1.0 \text{ Н}$.</p><p>Коэффициент трения: $\mu_3 = \frac{F_{тр3}}{N_3} = \frac{1.0 \text{ Н}}{3.92 \text{ Н}} \approx 0.255$.</p><p><strong>4.</strong> Расчет среднего значения коэффициента трения.</p><p>$\mu_{ср} = \frac{\mu_1 + \mu_2 + \mu_3}{3} = \frac{0.255 + 0.255 + 0.255}{3} \approx 0.26$.</p><p><strong>Ответ:</strong> $\mu_{ср} \approx 0.26$.</p><p><strong>Выводы</strong></p><p>В ходе выполнения лабораторной работы был экспериментально определен коэффициент трения скольжения дерева по дереву. Полученное среднее значение $\mu_{ср} \approx 0.26$. Эксперимент подтвердил, что сила трения скольжения прямо пропорциональна силе нормальной реакции опоры, так как полученные значения коэффициента трения для разных масс оказались практически одинаковыми. Возможные погрешности измерений могли быть вызваны неточностью считывания показаний динамометра, а также сложностью поддержания строго постоянной скорости движения бруска.</p><p><strong>Ответ:</strong> Экспериментально определен коэффициент трения $\mu \approx 0.26$ и подтверждена его независимость от силы нормальной реакции.</p>"
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            "text" => "<p>Поскольку в задании содержится ссылка на экспериментальное задание из учебника (с. 214), текст которого отсутствует, в качестве примера будет приведено выполнение типичного экспериментального задания по физике: "Определение коэффициента трения скольжения".</p><p><strong>Цель работы</strong></p><p>Экспериментально определить коэффициент трения скольжения дерева по дереву.</p><p><strong>Ответ:</strong> Цель работы — определить коэффициент трения скольжения.</p><p><strong>Оборудование</strong></p><p>Деревянный брусок, динамометр, набор грузов известной массы, деревянная доска.</p><p><strong>Ответ:</strong> Для выполнения работы потребуется брусок, динамометр, грузы и доска.</p><p><strong>Теоретическая часть</strong></p><p>Сила трения скольжения $F_{тр}$, возникающая при движении одного тела по поверхности другого, пропорциональна силе нормальной реакции опоры $\text{N}$. Коэффициент пропорциональности $\mu$ называется коэффициентом трения скольжения: $F_{тр} = \mu N$. При равномерном прямолинейном движении тела по горизонтальной поверхности под действием горизонтальной силы тяги $F_{тяги}$, сила тяги по модулю равна силе трения: $F_{тяги} = F_{тр}$. Сила нормальной реакции опоры в данном случае равна силе тяжести, действующей на тело и грузы: $N = mg$. Таким образом, коэффициент трения можно рассчитать по формуле: $\mu = \frac{F_{тяги}}{mg}$.</p><p><strong>Ответ:</strong> Коэффициент трения определяется по формуле $\mu = F_{тр} / N$.</p><p><strong>Ход работы</strong></p><p><strong>1.</strong> Определить массу бруска $m_{бруска}$ с помощью весов.</p><p><strong>2.</strong> Положить брусок на горизонтальную деревянную доску.</p><p><strong>3.</strong> Зацепить брусок динамометром и тянуть его равномерно и прямолинейно вдоль доски. Зафиксировать показание динамометра $F_{тяги1}$. Это значение равно силе трения $F_{тр1}$.</p><p><strong>4.</strong> Положить на брусок один груз известной массы $m_{груза}$. Общая масса системы станет $m_2 = m_{бруска} + m_{груза}$.</p><p><strong>5.</strong> Повторить п. 3, измерив силу тяги $F_{тяги2}$ (равную силе трения $F_{тр2}$).</p><p><strong>6.</strong> Повторить эксперимент, добавив второй груз. Общая масса $m_3 = m_{бруска} + 2m_{груза}$. Измерить силу тяги $F_{тяги3}$ (равную силе трения $F_{тр3}$).</p><p><strong>7.</strong> Занести все данные в таблицу и рассчитать коэффициент трения для каждого случая.</p><p><strong>Ответ:</strong> В ходе работы измеряется сила тяги, необходимая для равномерного движения бруска с разными грузами по доске.</p><p><strong>Обработка результатов и вычисления (пример)</strong></p><p><strong>Дано:</strong></p><p>$m_{бруска} = 200 \text{ г}$</p><p>$m_{груза} = 100 \text{ г}$</p><p>$g \approx 9.8 \text{ м/с}^2$</p><p>Результаты измерений:</p><p>$F_{тяги1} = 0.5 \text{ Н}$</p><p>$F_{тяги2} = 0.75 \text{ Н}$</p><p>$F_{тяги3} = 1.0 \text{ Н}$</p><p><em>Система СИ:</em><br>$m_{бруска} = 0.2 \text{ кг}$<br>$m_{груза} = 0.1 \text{ кг}$</p><p><strong>Найти:</strong></p><p>$\mu_{ср}$ - средний коэффициент трения скольжения.</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Расчет для первого случая (только брусок).</p><p>Сила нормальной реакции опоры: $N_1 = m_{бруска} \cdot g = 0.2 \text{ кг} \cdot 9.8 \text{ м/с}^2 = 1.96 \text{ Н}$.</p><p>Сила трения: $F_{тр1} = F_{тяги1} = 0.5 \text{ Н}$.</p><p>Коэффициент трения: $\mu_1 = \frac{F_{тр1}}{N_1} = \frac{0.5 \text{ Н}}{1.96 \text{ Н}} \approx 0.255$.</p><p><strong>2.</strong> Расчет для второго случая (брусок + 1 груз).</p><p>Общая масса: $m_2 = m_{бруска} + m_{груза} = 0.2 \text{ кг} + 0.1 \text{ кг} = 0.3 \text{ кг}$.</p><p>Сила нормальной реакции: $N_2 = m_2 \cdot g = 0.3 \text{ кг} \cdot 9.8 \text{ м/с}^2 = 2.94 \text{ Н}$.</p><p>Сила трения: $F_{тр2} = F_{тяги2} = 0.75 \text{ Н}$.</p><p>Коэффициент трения: $\mu_2 = \frac{F_{тр2}}{N_2} = \frac{0.75 \text{ Н}}{2.94 \text{ Н}} \approx 0.255$.</p><p><strong>3.</strong> Расчет для третьего случая (брусок + 2 груза).</p><p>Общая масса: $m_3 = m_{бруска} + 2m_{груза} = 0.2 \text{ кг} + 2 \cdot 0.1 \text{ кг} = 0.4 \text{ кг}$.</p><p>Сила нормальной реакции: $N_3 = m_3 \cdot g = 0.4 \text{ кг} \cdot 9.8 \text{ м/с}^2 = 3.92 \text{ Н}$.</p><p>Сила трения: $F_{тр3} = F_{тяги3} = 1.0 \text{ Н}$.</p><p>Коэффициент трения: $\mu_3 = \frac{F_{тр3}}{N_3} = \frac{1.0 \text{ Н}}{3.92 \text{ Н}} \approx 0.255$.</p><p><strong>4.</strong> Расчет среднего значения коэффициента трения.</p><p>$\mu_{ср} = \frac{\mu_1 + \mu_2 + \mu_3}{3} = \frac{0.255 + 0.255 + 0.255}{3} \approx 0.26$.</p><p><strong>Ответ:</strong> $\mu_{ср} \approx 0.26$.</p><p><strong>Выводы</strong></p><p>В ходе выполнения лабораторной работы был экспериментально определен коэффициент трения скольжения дерева по дереву. Полученное среднее значение $\mu_{ср} \approx 0.26$. Эксперимент подтвердил, что сила трения скольжения прямо пропорциональна силе нормальной реакции опоры, так как полученные значения коэффициента трения для разных масс оказались практически одинаковыми. Возможные погрешности измерений могли быть вызваны неточностью считывания показаний динамометра, а также сложностью поддержания строго постоянной скорости движения бруска.</p><p><strong>Ответ:</strong> Экспериментально определен коэффициент трения $\mu \approx 0.26$ и подтверждена его независимость от силы нормальной реакции.</p>"
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    "page" => Illuminate\Database\Eloquent\Collection {#1532
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                0 => App\Models\Element {#1189
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                    "edition" => Illuminate\Database\Eloquent\Collection {#1190 …2}
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                    "edition" => Illuminate\Database\Eloquent\Collection {#1190 …2}
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                    0 => "*"
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            "tasks" => Illuminate\Database\Eloquent\Collection {#1197
              #items: array:10 [
                0 => App\Models\Task {#1198
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
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                    "created_at" => "2026-04-10 13:58:26"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1199 …2}
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1201 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1237 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1311 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#1328 …2}
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1199 …2}
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                    0 => "*"
                  ]
                }
                1 => App\Models\Task {#1329
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  #attributes: array:24 [
                    "id" => 1439687
                    "created_at" => "2026-04-10 13:58:26"
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                    "field_url" => "/9-klass/fizika/izergin-uchebnik/11-2"
                    "field_display_title" => "2"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1330 …2}
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1331 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1332 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1333 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1334 …2}
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                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#1351 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
                    "id" => 1439687
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1330 …2}
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                    0 => "*"
                  ]
                }
                2 => App\Models\Task {#1352
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
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                  #attributes: array:24 [
                    "id" => 1439688
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                    "field_url" => "/9-klass/fizika/izergin-uchebnik/11-3"
                    "field_display_title" => "3"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1353 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1356 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#1374 …2}
                    "page" => array:2 [ …2]
                  ]
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                    0 => "*"
                  ]
                }
                3 => App\Models\Task {#1375
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
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                  #withCount: []
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                  #attributes: array:24 [
                    "id" => 1439689
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                    "field_url" => "/9-klass/fizika/izergin-uchebnik/11-4"
                    "field_display_title" => "4"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1376 …2}
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                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1377 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1378 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1379 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1380 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#1397 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
                    "id" => 1439689
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                    "field_display_title" => "4"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1376 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1379 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#1397 …2}
                    "page" => array:2 [ …2]
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                    0 => "*"
                  ]
                }
                4 => App\Models\Task {#1398
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1439690
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "52"
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                    "field_url" => "/9-klass/fizika/izergin-uchebnik/11-5"
                    "field_display_title" => "5"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1399 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
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                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1400 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1401 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1402 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1403 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#1420 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
                    "id" => 1439690
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "52"
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                    "field_url" => "/9-klass/fizika/izergin-uchebnik/11-5"
                    "field_display_title" => "5"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1399 …2}
                    "field_metatags_title" => null
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1400 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1401 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1402 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1403 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#1420 …2}
                    "page" => array:2 [ …2]
                  ]
                  #changes: []
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                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                5 => App\Models\Task {#1421
                  #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" => 1439691
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "52"
                    "field_page_end" => null
                    "field_url" => "/9-klass/fizika/izergin-uchebnik/11-6"
                    "field_display_title" => "6"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1422 …2}
                     …15
                  ]
                  #original: array:24 [ …24]
                  #changes: []
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
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                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                6 => App\Models\Task {#1444
                  #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: []
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
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                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                7 => App\Models\Task {#1461
                  #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: []
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                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                8 => App\Models\Task {#1484
                  #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]
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
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                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                9 => App\Models\Task {#1507
                  #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: []
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                  #attributeCastCache: []
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                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
            "id" => 1439370
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "52"
            "field_url" => "/9-klass/fizika/izergin-uchebnik/page-52"
            "field_display_title" => "52"
            "field_folder" => "1"
            "field_image_name" => "52"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1157}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1156}
            "field_metatags_title" => null
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1187}
            "content" => Illuminate\Database\Eloquent\Collection {#1188}
            "next" => array:2 [
              "refs" => "1439371"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1439369"
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            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#1197}
          ]
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№6 (с. 52)
Условие. №6 (с. 52)
скриншот условия
Физика, 9 класс Учебник, автор: Изергин Эдуард Тимофеевич, издательство Русское слово, Москва, 2019, страница 52, номер 6, Условие

6*. Выполните экспериментальное задание 6 (с. 214).

Решение. №6 (с. 52)

Поскольку в задании содержится ссылка на экспериментальное задание из учебника (с. 214), текст которого отсутствует, в качестве примера будет приведено выполнение типичного экспериментального задания по физике: "Определение коэффициента трения скольжения".

Цель работы

Экспериментально определить коэффициент трения скольжения дерева по дереву.

Ответ: Цель работы — определить коэффициент трения скольжения.

Оборудование

Деревянный брусок, динамометр, набор грузов известной массы, деревянная доска.

Ответ: Для выполнения работы потребуется брусок, динамометр, грузы и доска.

Теоретическая часть

Сила трения скольжения $F_{тр}$, возникающая при движении одного тела по поверхности другого, пропорциональна силе нормальной реакции опоры $\text{N}$. Коэффициент пропорциональности $\mu$ называется коэффициентом трения скольжения: $F_{тр} = \mu N$. При равномерном прямолинейном движении тела по горизонтальной поверхности под действием горизонтальной силы тяги $F_{тяги}$, сила тяги по модулю равна силе трения: $F_{тяги} = F_{тр}$. Сила нормальной реакции опоры в данном случае равна силе тяжести, действующей на тело и грузы: $N = mg$. Таким образом, коэффициент трения можно рассчитать по формуле: $\mu = \frac{F_{тяги}}{mg}$.

Ответ: Коэффициент трения определяется по формуле $\mu = F_{тр} / N$.

Ход работы

1. Определить массу бруска $m_{бруска}$ с помощью весов.

2. Положить брусок на горизонтальную деревянную доску.

3. Зацепить брусок динамометром и тянуть его равномерно и прямолинейно вдоль доски. Зафиксировать показание динамометра $F_{тяги1}$. Это значение равно силе трения $F_{тр1}$.

4. Положить на брусок один груз известной массы $m_{груза}$. Общая масса системы станет $m_2 = m_{бруска} + m_{груза}$.

5. Повторить п. 3, измерив силу тяги $F_{тяги2}$ (равную силе трения $F_{тр2}$).

6. Повторить эксперимент, добавив второй груз. Общая масса $m_3 = m_{бруска} + 2m_{груза}$. Измерить силу тяги $F_{тяги3}$ (равную силе трения $F_{тр3}$).

7. Занести все данные в таблицу и рассчитать коэффициент трения для каждого случая.

Ответ: В ходе работы измеряется сила тяги, необходимая для равномерного движения бруска с разными грузами по доске.

Обработка результатов и вычисления (пример)

Дано:

$m_{бруска} = 200 \text{ г}$

$m_{груза} = 100 \text{ г}$

$g \approx 9.8 \text{ м/с}^2$

Результаты измерений:

$F_{тяги1} = 0.5 \text{ Н}$

$F_{тяги2} = 0.75 \text{ Н}$

$F_{тяги3} = 1.0 \text{ Н}$

Система СИ:
$m_{бруска} = 0.2 \text{ кг}$
$m_{груза} = 0.1 \text{ кг}$

Найти:

$\mu_{ср}$ - средний коэффициент трения скольжения.

Решение:

1. Расчет для первого случая (только брусок).

Сила нормальной реакции опоры: $N_1 = m_{бруска} \cdot g = 0.2 \text{ кг} \cdot 9.8 \text{ м/с}^2 = 1.96 \text{ Н}$.

Сила трения: $F_{тр1} = F_{тяги1} = 0.5 \text{ Н}$.

Коэффициент трения: $\mu_1 = \frac{F_{тр1}}{N_1} = \frac{0.5 \text{ Н}}{1.96 \text{ Н}} \approx 0.255$.

2. Расчет для второго случая (брусок + 1 груз).

Общая масса: $m_2 = m_{бруска} + m_{груза} = 0.2 \text{ кг} + 0.1 \text{ кг} = 0.3 \text{ кг}$.

Сила нормальной реакции: $N_2 = m_2 \cdot g = 0.3 \text{ кг} \cdot 9.8 \text{ м/с}^2 = 2.94 \text{ Н}$.

Сила трения: $F_{тр2} = F_{тяги2} = 0.75 \text{ Н}$.

Коэффициент трения: $\mu_2 = \frac{F_{тр2}}{N_2} = \frac{0.75 \text{ Н}}{2.94 \text{ Н}} \approx 0.255$.

3. Расчет для третьего случая (брусок + 2 груза).

Общая масса: $m_3 = m_{бруска} + 2m_{груза} = 0.2 \text{ кг} + 2 \cdot 0.1 \text{ кг} = 0.4 \text{ кг}$.

Сила нормальной реакции: $N_3 = m_3 \cdot g = 0.4 \text{ кг} \cdot 9.8 \text{ м/с}^2 = 3.92 \text{ Н}$.

Сила трения: $F_{тр3} = F_{тяги3} = 1.0 \text{ Н}$.

Коэффициент трения: $\mu_3 = \frac{F_{тр3}}{N_3} = \frac{1.0 \text{ Н}}{3.92 \text{ Н}} \approx 0.255$.

4. Расчет среднего значения коэффициента трения.

$\mu_{ср} = \frac{\mu_1 + \mu_2 + \mu_3}{3} = \frac{0.255 + 0.255 + 0.255}{3} \approx 0.26$.

Ответ: $\mu_{ср} \approx 0.26$.

Выводы

В ходе выполнения лабораторной работы был экспериментально определен коэффициент трения скольжения дерева по дереву. Полученное среднее значение $\mu_{ср} \approx 0.26$. Эксперимент подтвердил, что сила трения скольжения прямо пропорциональна силе нормальной реакции опоры, так как полученные значения коэффициента трения для разных масс оказались практически одинаковыми. Возможные погрешности измерений могли быть вызваны неточностью считывания показаний динамометра, а также сложностью поддержания строго постоянной скорости движения бруска.

Ответ: Экспериментально определен коэффициент трения $\mu \approx 0.26$ и подтверждена его независимость от силы нормальной реакции.

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