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Консультация № 173137
10.10.2009, 19:04
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Здравствуйте уважаемые эксперты помогите пожалуйста с решением задачи :Пуля массой m = 50г, летевшая горизонтально со скоростью V 0 = 20м/с, ударилась в свободно подвешенной на длиной нити деревянный брусок массой m = 50кг и застряла в нем, углубившись на S =10 см. Найти силу Fc сопротивления дерева движению пули. На какую глубину S1 войдет
пуля, если тот же брусок закрепить.
Я ни как не могу понять как тут вывести формулу для решения.
пуля, если тот же брусок закрепить.
Я ни как не могу понять как тут вывести формулу для решения.
Обсуждение
10.10.2009, 20:47
общий
это ответ
Здравствуйте, Magma.
Если брусок повешен на нити, то после попадания пули система пуля-брусок иеет такой же импульс, как пуля до столкновения.
m1*v0=(m1+m2)*v2
скорость бруска v2=m1*v0/(m1+m2)=0.02 м/с2
и кинетическая энергия W2=(m1+m2)*v22/2=0,01 Дж
кинетическая энергия пули W1=m1v0/2=10 Дж
На преодаление сопротивления расходуется A1=W2-W1=9,99 Дж
Если сила постоянна, то она составляет F=A1/S1=99.9 Н≈100 Н
При попадании в закреплённый брусок пуля расходует все 10 Дж своей кинетической энергии на преодоление сопротивления дерева. Она войдёт на глубину S2=A2/F=W1/F=10.01 cм
Как видите, при таком отношении масс разница практически незаметна.
Если брусок повешен на нити, то после попадания пули система пуля-брусок иеет такой же импульс, как пуля до столкновения.
m1*v0=(m1+m2)*v2
скорость бруска v2=m1*v0/(m1+m2)=0.02 м/с2
и кинетическая энергия W2=(m1+m2)*v22/2=0,01 Дж
кинетическая энергия пули W1=m1v0/2=10 Дж
На преодаление сопротивления расходуется A1=W2-W1=9,99 Дж
Если сила постоянна, то она составляет F=A1/S1=99.9 Н≈100 Н
При попадании в закреплённый брусок пуля расходует все 10 Дж своей кинетической энергии на преодоление сопротивления дерева. Она войдёт на глубину S2=A2/F=W1/F=10.01 cм
Как видите, при таком отношении масс разница практически незаметна.
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