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A bullet of mas m moving at a speed v hi...

A bullet of mas m moving at a speed v hits as ball of mass M kept at rest. A small prt hving mass m breaks from the ball and sticks to the bullet. The remaining ball is found to move at a speed `v_1` in the direction of the bullet. Find the velocity of the ulet after the collision.

Text Solution

Verified by Experts

Mass of the bullet =m
and speed =v
Mass of the ball =M
`m^1`= fractioN/Al mass from the ball
Using law of conservation of momentum
`mv+0=(m^1+m)v^1+(M-m^)v_1`
Where `v^1=fiN/Al velocity of the bullet + fractioN/Al mass`
`rarr v^1=(mv-(M-m)v_1)/(m+m^1)`
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