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Консультация № 109086
12.11.2007, 17:08
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Уважаемые знатоки помогите пожалуйста !Человек массой m1=70 кг,бегущий со скоростью U1=9 км/ч,догоняет тележку массой m2=190 кг,движущуюся со скоростью U2=3,6 км/ч,и вскакивает на нее.С какой
скоростью станет двигаться тележка с человеком,если человек до прыжка бежал навстречу тележке?
скоростью станет двигаться тележка с человеком,если человек до прыжка бежал навстречу тележке?
Обсуждение
14.11.2007, 09:53
общий
это ответ
Здравствуйте, Карачев Сергей Александрович!
Импульс человека m1*U1; импульс тележки m2*U2; человек до прыжка бежал навстречу тележке, поэтому результирующий импульс равен m2*U2 - m1*U1; чтобы получить скорость тележки с человеком надо этот результирующий импульс разделить на их суммарную массу: U = (m2*U2 - m1*U1)/(m1 + m2). Переведя скорости в метры в секунду (для чего надо их разделить на 3.6, что легко делается в уме) и подставив числа, получаем U = 0.0577 м/с.
Импульс человека m1*U1; импульс тележки m2*U2; человек до прыжка бежал навстречу тележке, поэтому результирующий импульс равен m2*U2 - m1*U1; чтобы получить скорость тележки с человеком надо этот результирующий импульс разделить на их суммарную массу: U = (m2*U2 - m1*U1)/(m1 + m2). Переведя скорости в метры в секунду (для чего надо их разделить на 3.6, что легко делается в уме) и подставив числа, получаем U = 0.0577 м/с.
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