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Question

# Two spheres A and B moving in opposite directions have velocities of 10msâˆ’1 and 20msâˆ’1. The two spheres collide with each other elastically. If A continues to move in the same direction at 4msâˆ’1, the velocity of sphere B just after the collision is

A
34m/s in the same direction
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B
34m/s in the opposite direction
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C
26m/s in the same direction
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D
34m/s in the opposit direction
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Solution

## The correct option is B 34m/s in the same directionGiven,uA=10m/suB=−20m/svA=4m/svB=?The collision is elastically, so the coefficient of restitution is unity.e=vB−vAuA−uB=1vB−vA=uA−uBvB=vA+uA−uBvB=(4m/s)+(10m/s)−(−20m/s)=(4+10+20)m/svB=34m/s in the same direction.The correct option is A.

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