15. A ball of mass 0.640 kg moving east with a speed of 3.90 m/s collides head o

Question

15. A ball of mass 0.640 kg moving east with a speed of 3.90 m/s collides head on with a 0.840 kg ball at rest. If the collision is perfectly elastic, what will be the speed and direction of each ball after the collision? Ball originally at rest_______ m/s west or east Ball originally moving east ______ m/s west or east 15. A ball of mass 0.640 kg moving east with a speed of 3.90 m/s collides head on with a 0.840 kg ball at rest. If the collision is perfectly elastic, what will be the speed and direction of each ball after the collision? Ball originally at rest_______ m/s west or east Ball originally moving east ______ m/s west or east Ball originally at rest_______ m/s west or east Ball originally moving east ______ m/s west or east

Explanation / Answer

Applying conservation of momentum

Here, 0.640 * 3.90   = 0.640v1 + 0.840v2

Also,   3.90   = v2 - v1

=> v1 = - 0.527 m/sec

=> v2 = 3.373 m/sec

=>    Ball originally at rest =   3.373 m/sec     (towards east)

=>    Ball originally moving east   =     - 0.527 m/sec    (towards west )

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