A 5 kg ball collides head-on with a 10 kg ball, which is initially stationary. T

Question

A 5 kg ball collides head-on with a 10 kg ball, which is initially stationary. The collision is inelastic. Which statement is true?
A) The magnitude of the change of velocity the 5 kg ball experiences is greater than that of the 10 kg ball. B) The magnitude of the change of velocity the 5 kg ball experiences is less than that of the 10 kg ball. C) The magnitude of the change of velocity the 5 kg ball experiences is equal to that of the 10 kg ball.
D) The magnitude of the change of the momentum of the 5 kg ball is equal to the magnitude of the change of momentum of the 10 kg ball.
E) Two of the above statements are true.

Explanation / Answer

masses m = 5 kg M = 10 kg Initial velocities of the balls u = u U = 0 from law of conservation of momentum , mu +MU = (m+ M) v mu + 0 = ( m+M) v 5 u = 15 v v = u / 3 ---( 1) change in velocity of ball of mass 5 kg is = u - v = 2u / 3 change in velocity of ball of mass 10 kg is = 0-v = -u/ 3 i.e., The magnitude of the change of velocity the 5 kg ball experiences is greater than that of the 10 kg ball. and The magnitude of the change of the momentum of the 5 kg ball is equal to the magnitude of the change of momentum of the 10 kg ball

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