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Консультация № 109746
16.11.2007, 20:04
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Уважаемые знатоки, помогите с физикой!
1. Первоначальная длина алюминиевого провода - 69 см, воздействие большой силы 120 N удлиняет его на 4 см. Вычислить площадь поперечного разреза у провода. Модуль Юнга - 6,9 * 10^10 Па.
2. Какую силу нужно приложить медной проволоке с площадью поперечного разреза - 10 мм^2, чтобы ее вытянули настолько, насколько она расширится, если ее согреть на 20 К. Модуль эластичности меди - 1,2 * 10^11 Па, а линейный коэффициент расширения - 17 * 10^-6 1/К.
1. Первоначальная длина алюминиевого провода - 69 см, воздействие большой силы 120 N удлиняет его на 4 см. Вычислить площадь поперечного разреза у провода. Модуль Юнга - 6,9 * 10^10 Па.
2. Какую силу нужно приложить медной проволоке с площадью поперечного разреза - 10 мм^2, чтобы ее вытянули настолько, насколько она расширится, если ее согреть на 20 К. Модуль эластичности меди - 1,2 * 10^11 Па, а линейный коэффициент расширения - 17 * 10^-6 1/К.
Обсуждение
Неизвестный
18.11.2007, 10:19
общий
это ответ
Здравствуйте, Visova Vika K!
1. Первоначальная длина алюминиевого провода - 69 см, воздействие большой силы 120 N удлиняет его на 4 см. Вычислить площадь поперечного разреза у провода. Модуль Юнга - 6,9 * 10^10 Па.
Величины в нашей задаче связаны отношением
F = (λ*S/L)x
откуда
S = F*L/(x*λ) = 120*0,69/(0,04*6,9*10<sup>10</sup>) = 3*10<sup>-8</sup> м<sup>2</sup> = 0,03 мм<sup>2</sup>
Проверяйте вычисления.
2. Какую силу нужно приложить медной проволоке с площадью поперечного разреза - 10 мм^2, чтобы ее вытянули настолько, насколько она расширится,
если ее согреть на 20 К. Модуль эластичности меди - 1,2 * 10^11 Па, а линейный коэффициент расширения - 17 * 10^-6 1/К.
Проволока удлиннится при нагревании на x = L*17*10<sup>-6</sup>*ΔT.
Сила, необходимая для удлиннения на такое расстяние
F = (λ*S/L)x = λ*S*17*10<sup>-6</sup>*ΔT = 1,2*10<sup>11</sup>*10<sup>-5</sup>*17*10<sup>-6</sup>*20 Н
1. Первоначальная длина алюминиевого провода - 69 см, воздействие большой силы 120 N удлиняет его на 4 см. Вычислить площадь поперечного разреза у провода. Модуль Юнга - 6,9 * 10^10 Па.
Величины в нашей задаче связаны отношением
F = (λ*S/L)x
откуда
S = F*L/(x*λ) = 120*0,69/(0,04*6,9*10<sup>10</sup>) = 3*10<sup>-8</sup> м<sup>2</sup> = 0,03 мм<sup>2</sup>
Проверяйте вычисления.
2. Какую силу нужно приложить медной проволоке с площадью поперечного разреза - 10 мм^2, чтобы ее вытянули настолько, насколько она расширится,
если ее согреть на 20 К. Модуль эластичности меди - 1,2 * 10^11 Па, а линейный коэффициент расширения - 17 * 10^-6 1/К.
Проволока удлиннится при нагревании на x = L*17*10<sup>-6</sup>*ΔT.
Сила, необходимая для удлиннения на такое расстяние
F = (λ*S/L)x = λ*S*17*10<sup>-6</sup>*ΔT = 1,2*10<sup>11</sup>*10<sup>-5</sup>*17*10<sup>-6</sup>*20 Н
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