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Консультация № 173509
21.10.2009, 12:36
0.00 руб.
0
1
1
Здравствуйте, уважаемые эксперты! Помогите, пожалуйста, решить задачу:
По направлению к неподвижному шарику снизу движется массивная плита со скоростью v=4 м/с, направленной вертикально вверх и перпендикулярно поверхности плиты. В момент, когда плита находилась на расстоянии H=1 м от шарика, шарик отпускают. На какое максимальное расстояние от плиты удалится шарик после упругого удара о плиту? Масса шарика много меньше массы плиты.
По направлению к неподвижному шарику снизу движется массивная плита со скоростью v=4 м/с, направленной вертикально вверх и перпендикулярно поверхности плиты. В момент, когда плита находилась на расстоянии H=1 м от шарика, шарик отпускают. На какое максимальное расстояние от плиты удалится шарик после упругого удара о плиту? Масса шарика много меньше массы плиты.
Обсуждение
21.10.2009, 20:45
общий
это ответ
Здравствуйте, Болдырев Тимофей.
Перейдём в систему отсчёта, связанную с плитой. Эта система является инерциальной, так как плита движется с постоянной скоростью.
Задача сводится к более простой - мяч падает на плиту с высоты h0=1м имея начальную вертикальную скорость v0=4 м/с (направлена вниз).
При абсолютно упругом ударе кинетическая энергия сохраняется, и, снова оказавшись в h0=1м над плитой, мяч будет иметь скорость v=4 м/с (вверх). Этой скорости достаточно, чтобы при ускорении g=9.8м/с2 подняться ещё на [$916$]h=v2/2g=0.82 м
Итого максимальная высота мяча над плитой H=h0+[$916$]h=1.82 м
Перейдём в систему отсчёта, связанную с плитой. Эта система является инерциальной, так как плита движется с постоянной скоростью.
Задача сводится к более простой - мяч падает на плиту с высоты h0=1м имея начальную вертикальную скорость v0=4 м/с (направлена вниз).
При абсолютно упругом ударе кинетическая энергия сохраняется, и, снова оказавшись в h0=1м над плитой, мяч будет иметь скорость v=4 м/с (вверх). Этой скорости достаточно, чтобы при ускорении g=9.8м/с2 подняться ещё на [$916$]h=v2/2g=0.82 м
Итого максимальная высота мяча над плитой H=h0+[$916$]h=1.82 м
5
Спасибо!
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