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 bullet = `m` and speed = `v`.
Mass of the ball `M` and fractional mass of the ball `m_(1)`
According to law of conservation of linear momentum
`mv +0 = (m+m_(1)) v_(1) +(M-m_(1))v_(2)`
Where `v_(1) = underset(("bullet" + "fractional mass"))(final velocity of the)`
`v_(1) = (mv -(M-m_(1))v_(2))/((m+m_(1))`.