Two identical objects traveling in opposite directions with the same speed V mak

Question

Two identical objects traveling in opposite directions with the same speed V make a head-on collision.
Find the speed of the first object after the collision if they stick together, the speed of the second object after the collision if they stick together,the speed of the first object after the collision if the collision is perfectly elastic, the speed of the second object after the collision if the collision is perfectly elastic. Express your answer in terms of V.

Explanation / Answer

Initial momentum of first object = mV Initial momentum of second object = -mV Initial total momentum = 0 => Total final momentum = 0 If they stick together, 0 = (m+m)v => v = 0 Hence both objects velocity is 0 if they stick together If the collision is perfectly elastic, Velocity of first object = -V velocity of second object = V Hence both the objects move with same velocity in the opposite directions if the collision is perfectly elastic

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