A uniform rod of mass M and length L is place | vedclass

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(B) According to the principle of conservation of linear momentum,the total momentum before the collision must equal the total momentum after the coll

Vedclass · Accepted Answer

$mv/M$

Vedclass · Answer

(B) According to the principle of conservation of linear momentum,the total momentum before the collision must equal the total momentum after the collision.Before the collision,the momentum of the system is $p_i = mv$.After the collision,the particle comes to rest,so its momentum is $0$. Let the velocity of the center of mass of the rod be $V_{cm}$. The momentum of the rod is $MV_{cm}$.By conservation of linear momentum: $mv = 0 + MV_{cm}$.Therefore,the velocity of the center of mass of the rod is $V_{cm} = mv/M$.

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