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Консультация № 191285
21.08.2017, 11:29
0.00 руб.
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Здравствуйте! Прошу помощи в следующем вопросе:
Шайба массой m летит с горизонтальной скоростью V0 на высоте h. После удара плашмя о горизонтальную поверхность льда шайба подскакивает на прежнюю высоту. Под каким углом φ к вертикали отскочила шайба от поверхности льда? Коэффициент трения скольжения шайбы по поверхности равен μ.
Шайба массой m летит с горизонтальной скоростью V0 на высоте h. После удара плашмя о горизонтальную поверхность льда шайба подскакивает на прежнюю высоту. Под каким углом φ к вертикали отскочила шайба от поверхности льда? Коэффициент трения скольжения шайбы по поверхности равен μ.
Обсуждение
25.08.2017, 17:51
общий
это ответ
Здравствуйте, rita_2708!
Не претендуя на полноценное решение задачи, сообщу свои соображения, которые, возможно, помогут Вам самостоятельно найти это решение.
В начале соударения с поверхностью льда вертикальная проекция скорости шайбы имеет величину
а горизонтальная - 
В конце соударения вертикальная проекция скорости шайбы имеет величину 
а неизвестная горизонтальная - 
Соударение шайбы с поверхностью льда происходит в течение "малого" промежутка времени
так что действием силы тяжести можно пренебречь. В процессе соударения на шайбу действуют сила 
нормальной реакции поверхности льда, направленная вертикально вверх, и сила 
трения, направленная гориэонтально и имеющая горизонтальную проекцию 
По второму закону Ньютона приращение вектора импульса шайбы составляет
или, в проекциях,
причём
откуда
Поскольку должно быть
постольку формула 
имеет место при 
В противном случае 
Не претендуя на полноценное решение задачи, сообщу свои соображения, которые, возможно, помогут Вам самостоятельно найти это решение.
В начале соударения с поверхностью льда вертикальная проекция скорости шайбы имеет величину
а горизонтальная - В конце соударения вертикальная проекция скорости шайбы имеет величину а неизвестная горизонтальная - Соударение шайбы с поверхностью льда происходит в течение "малого" промежутка времени
так что действием силы тяжести можно пренебречь. В процессе соударения на шайбу действуют сила нормальной реакции поверхности льда, направленная вертикально вверх, и сила трения, направленная гориэонтально и имеющая горизонтальную проекцию По второму закону Ньютона приращение вектора импульса шайбы составляет
или, в проекциях,
причём
откуда
Поскольку должно быть
постольку формула имеет место при В противном случае
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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