A bullet of mass m moving at a speed v hits a ball of mass M kept at rest. A small part having 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 bullet after the collision.

Explanation

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)`