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A stick of length L and mass M lies on a...

A stick of length L and mass M lies on a frictionless horizontal surface on which it is free to move in any way. A ball of mass m moving with speed v collides elastically with the stick as shown in the figure. If after the collision the ball comes to rest, then what would be the mass of the ball?

A

m=2M

B

m=M

C

m=M/2

D

m=M/4

Text Solution

Verified by Experts

The correct Answer is:
4
Applying the law of conservation of momentum mv=Mv…(i)By conservation of angular momentum`mv(L/2)=((ML^2)/12)omega`..(ii) As the collision Is elastic, we have `1/2mv^2=1/2MV^2+1/2omega^2`..(iii) or (`Lomega+V=ev` where e=1)Subtituting the Values, we get m=M/4.
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