First slide
Coefficient of restitution
Question

A plate of mass M remains in equilibrium in air when n bullets are fired per second on it. The mass of each bullet is m and it strikes the plate with speed v' If the coefficient of restitution is e, then (M>>m) 

Moderate
Solution

see fig. (4) the change in momentum of Bullet = m v e - (-m v) = m v (1+e)

given that n bullets strike per second '. Force exerted by the bullets

  =n[mv(1+e)] upwards   Now n[mv(1+e)]=Mg (F=Mg downwards ) so, M=nmv(1+e)g

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