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Консультация № 146297
07.10.2008, 09:09
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Помогите решить пожалуйста задачу:
При равномерном движении по окружности со скоростью
V = 10 м/с тело массой т = 2 кг переместилось на угол а = 120°.
Найти модуль вектора изменения импульса тела.
При равномерном движении по окружности со скоростью
V = 10 м/с тело массой т = 2 кг переместилось на угол а = 120°.
Найти модуль вектора изменения импульса тела.
Обсуждение
Неизвестный
07.10.2008, 10:34
общий
09.10.2008, 11:05
это ответ
Здравствуйте, Иванов Олег Иванович!
Найти изменение вектора количества движения, если учесть, что масса тела не
изменяется, как разность векторов V2 и V1: ΔV.
Где V1 - вектор скорости в начальный момент,
V2 - вектор скорости при повороте на угол α.
Тогда верна такая запись:
V1 + ΔV = V2
.
Для модуля V2:
V22 = V12 + ΔV2 + 2*V1*ΔV*COS(α) Аргумент функции надо заключать в скобки.. Неверно! Угол α находится между векторами V1 и V2, поэтому теорема косинусов записывается так: ΔV2 = V12 + V22 - 2*V1*V2*COS(α); COS(120°) = -0.5, а V1 и V2 равны по величине, поэтому: ΔV2 = 3*V12, откуда ΔV = V1*√(3) = 17.32 м/с.
Откуда:
ΔV = - 2*V1* cosα.
Или в числовых значениях:
ΔV = - 2*10*(-0,5)= 10 м/с.
Тогда модуль изменеия количества движения Δ(V*m)=10 *2 =20 34.64 кг*м/с.
Найти изменение вектора количества движения, если учесть, что масса тела не
изменяется, как разность векторов V2 и V1: ΔV.
Где V1 - вектор скорости в начальный момент,
V2 - вектор скорости при повороте на угол α.
Тогда верна такая запись:
V1 + ΔV = V2
.
Для модуля V2:
V22 = V12 + ΔV2 + 2*V1*ΔV*COS(α) Аргумент функции надо заключать в скобки.. Неверно! Угол α находится между векторами V1 и V2, поэтому теорема косинусов записывается так: ΔV2 = V12 + V22 - 2*V1*V2*COS(α); COS(120°) = -0.5, а V1 и V2 равны по величине, поэтому: ΔV2 = 3*V12, откуда ΔV = V1*√(3) = 17.32 м/с.
Откуда:
ΔV = - 2*V1* cosα.
Или в числовых значениях:
ΔV = - 2*10*(-0,5)= 10 м/с.
Тогда модуль изменеия количества движения Δ(V*m)=10 *2 =
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