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Question

A body of mass 2 kg makes an elastic collision with another body at rest and continues to move in the original direction at a speed equal to 1/3 of its original speed. The mass of the second body is

A
2kg
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B
3kg
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C
1kg
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D
4kg
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Solution

The correct option is C 1kg
Let mass of second body be m kg and its velocity after collision be v.
The collision is elastic i.e e=1

u3vu0=1 v=4u3

Applying conservation of momentum:

m1u+0=m1u3+mv

2u=2×u3+m×4u3

m=1 kg

481495_6292_ans.png

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