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Question

A body of mass 10 kg moving with velocity of 10 m/s hits another body of mass 30 kg moving with velocity 3 m/s in same direction. The co-efficient of restitution is 14. The velocity of centre of mass after collision will be

A
20 m/s
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B
40 m/s
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C
194m/s
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D
234m/s
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Solution

The correct option is C 194m/s
Before collision, vcm=(10)(10)+(30)(3)10+30=194m/s
Since no external force acts on system, velocity of centre of mass remains constant.
The correct option is (C)

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