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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос: Небольшое тело, брошенное под углом 45° к горизонту с начальной скоростью 15 м/с, упруго ударяется о вертикальную гладкую, стенку, находящуюся на расстоянии 14 м (по горизонтали) от места бросания. Определить, на каком расстоянии от стенки упадет тело на землю, если коэффициент восстановления k=0,75. Найти также отношение этих расстояний, если во втором случае удар абсолютно упругий.
Перемещение по оси х определяеися формулой S=V0x*t, V0x= V0*cosa t=Voy\g, Voy=Go*sins, t=Vo*sina\g. Согласно ЗСИ V1*m=-V2m, отсюда следует V1= -V2 . Т. к. механическая жнергия тела полностью не восстанавливается используем коэффициент востановления, исходя из этого скорость V2=V1*k Следовательно S=Go*cosa*Go*sins*k\g. S2=8,4 м. При абсолютно упругос ударе коэффициент восстановления равен 1, значит S2= 11,25. Отношение перемещений S1\S2
Для решения задачи, по-моему, нужно вычислить составляющие скорости, которую тело имеет при ударе о стенку, и рассмотреть, как они изменяются в зависимости от k. Эти изменённые составляющие скорости тела будут составляющими начальной скорости тела при полёте от стенки до места приземления. В Вашем решении я этого не вижу.
Если k=1, то при ударе о стенку модуль скорости тела не изменится, вертикальная составляющая скорости останется той же, а горизонтальная поменяет знак. Траектория тела после удара будет "зеркальным отражением" той траектории, которую тело имело бы при отсутствии стенки.
Разберитесь, что произойдёт при k=0,75. Считая время взаимодействия тела со стенкой достаточно малым, чтобы можно было пренебречь действием силы тяжести, и зная, что на тело действует реакция стенки, направленная перпендикулярно её поверхности.
Для решения задачи, по-моему, нужно вычислить составляющие скорости, которую тело имеет при ударе о стенку, и рассмотреть, как они изменяются в зависимости от k. Эти изменённые составляющие скорости тела будут составляющими начальной скорости тела при полёте от стенки до места приземления.
Если k=1, то при ударе о стенку модуль скорости тела не изменится, вертикальная составляющая скорости останется той же, а горизонтальная поменяет знак. Траектория тела после удара будет "зеркальным отражением" той траектории, которую тело имело бы при отсутствии стенки.
Разберитесь, что произойдёт при k=0,75. Считая время взаимодействия тела со стенкой достаточно малым, чтобы можно было пренебречь действием силы тяжести, и зная, что на тело действует реакция стенки, направленная перпендикулярно её поверхности.
К сожалению, Вы не ответили на моё сообщение. А произойдёт следующее: вертикальная составляющая скорости тела не изменится, а горизонтальная составляющая изменит знак и уменьшится так, что модуль скорости тела после удара будет составлять модуля скорости тела до удара.
Остальное, в том числе промежуточные выводы формул и вычисления по ним, трудностей вызывать не должно.
Я надеюсь, что Вы всё-таки сумели (или сумеете) решить эту задачу. В крайнем случае, в течение суток я к Вашим услугам в мини-форуме консультации, если у Вас возникнут вопросы по ходу решения.
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Facta loquuntur.
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Гордиенко Андрей Владимирович 
модуля скорости тела до удара.