A bullet of mass m moving at a speed u 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 u1 in the direction of the bullet. Find the velocity of the bullet after the collision.

Given: mass of the bullet is m,


Speed of the bullet is v,


Mass of the ball is M,


Frictional mass from ball is m’,


Velocity of the ball after collision is u1.


Now from law of conservation of momentum




Thus, the velocity of the bullet after the collision will be



Where u’ is the velocity of the bullet with frictional mass.


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