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Задать вопрос экспертам

Консультация № 180045

26.09.2010, 13:17

0.00 руб.

0 1 1

Образование

Пуля, летящая горизонтально со скоростью  = 400 м/c, попадает в брусок, подвешенный на нити длиной L = 4м, и застревает в нем. Определить угол  , на который отклонится брусок, если масса пули m1 = 20 г, а бруска m2 = 5кг.

Обсуждение

давно

Студент
330457
52

26.09.2010, 14:00

общий

это ответ

Здравствуйте, danis.
Брусок, получивший при попадании пули скорость u, поднимается в соответствии с законом сохранения механической энергии на высоту
h=u²/(2g)
С другой стороны, h=l*(1-cos[$945$])=2*l*sin²([$945$]/2).
Поэтому sin²([$945$]/2)=u²/(4gl);
u можно определить из закона сохранения импульса:
m₁υ=(m₁+m₂)*u, u=m₁*υ/(m₁+m₂)
Подставив выражение для u в уравнение для синуса угла, найдем
sin([$945$]/2)=m₁*υ/(m₁+m₂)*1/[$8730$]4gl
Подставляем числовые данные:
sin([$945$]/2)=400*0,02/(0,02+5)*1/[$8730$]4*9,8*4=8/62,86=0,1272
[$945$]/2=arcsin(0,1272)
[$945$]≈15[$186$]

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