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Question

Two spheres A and B moving in opposite directions have velocities of 10ms1 and 20ms1. The two spheres collide with each other elastically. If A continues to move in the same direction at 4ms1, 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 direction
Given,
uA=10m/s
uB=20m/s
vA=4m/s
vB=?
The collision is elastically, so the coefficient of restitution is unity.
e=vBvAuAuB=1
vBvA=uAuB
vB=vA+uAuB
vB=(4m/s)+(10m/s)(20m/s)=(4+10+20)m/s
vB=34m/s in the same direction.
The correct option is A.

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