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Консультация № 195876
21.06.2019, 00:19
0.00 руб.
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1
1
Здравствуйте! Прошу помощи в следующем вопросе:
1. Шар массой m1, движущийся горизонтально со скоростью v1, столкнулся с неподвижным шаром меньшей массой m2 =1 кг и потерял при этом 50% своей кинетической энергии. Какова масса первого шара? Удар прямой абсолютно упругий, центральный.
1. Шар массой m1, движущийся горизонтально со скоростью v1, столкнулся с неподвижным шаром меньшей массой m2 =1 кг и потерял при этом 50% своей кинетической энергии. Какова масса первого шара? Удар прямой абсолютно упругий, центральный.
Обсуждение
25.06.2019, 09:51
общий
это ответ
Здравствуйте, dar777!
Обозначим через
скорость первого шара после удара, через 
-- скорость второго шара после удара.
При абсолютно упругом ударе выполняются законы сохранения импульса и механической энергии. Поэтому
Перепишем эти уравнения так:
и разделим нижнее уравнение на верхнее. Получим
Согласно условию задачи первый шар после удара потерял половину своей кинетической энергии. Значит, кинетические энергии обоих шаров после улара одинаковые, а поскольку
постольку 
что после подстановки в уравнение (1) даёт 
и если
кг, то
(кг).
Обозначим через
скорость первого шара после удара, через -- скорость второго шара после удара.При абсолютно упругом ударе выполняются законы сохранения импульса и механической энергии. Поэтому
Перепишем эти уравнения так:
и разделим нижнее уравнение на верхнее. Получим
Согласно условию задачи первый шар после удара потерял половину своей кинетической энергии. Значит, кинетические энергии обоих шаров после улара одинаковые, а поскольку
постольку что после подстановки в уравнение (1) даёт и если
кг, то (кг).
5
Это самое лучшее решение!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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