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Консультация № 109094
12.11.2007, 17:55
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Уважаемые знатоки помогите пожалуйста !Шар массой m1=3 кг движется со скоростью U1=2 м/с и сталкивается с покоящимся шаром массой M2=5 кг.Какая работа будет совершена при деформации шаров?Удар считать абсолютно неупругим,прямым,центральным.
Обсуждение
14.11.2007, 11:09
общий
это ответ
Здравствуйте, Карачев Сергей Александрович!
Импульс движущегося шара равен m1*U1, а его кинетическая энергия равна (m1*U1^2)/2 (1). У покоящегося шара то и другое равно 0. Скорость обоих шаров после неупругого удара (они будут двигаться вместе) U = m1*U1/(m1 + M2) (2), а кинетическая энергия равна ((m1 + M2)*U^2)/2 (3). Разность между (1) и (3) - это и есть работа А, которая будет совершена при деформации шаров. Подставив в (3) значение U из (2) и вычтя из (1), после преобразований получаем А = (m1*U1^2)/2*(1 - m1/(m1 + M2)), а подставив числа А = (3*2^2)/2*(1 - 3/(3 + 5)) = 3.75 Дж.
Импульс движущегося шара равен m1*U1, а его кинетическая энергия равна (m1*U1^2)/2 (1). У покоящегося шара то и другое равно 0. Скорость обоих шаров после неупругого удара (они будут двигаться вместе) U = m1*U1/(m1 + M2) (2), а кинетическая энергия равна ((m1 + M2)*U^2)/2 (3). Разность между (1) и (3) - это и есть работа А, которая будет совершена при деформации шаров. Подставив в (3) значение U из (2) и вычтя из (1), после преобразований получаем А = (m1*U1^2)/2*(1 - m1/(m1 + M2)), а подставив числа А = (3*2^2)/2*(1 - 3/(3 + 5)) = 3.75 Дж.
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