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Question

Two solid rubber balls A and B having masses 200 and 400 gm respectively are moving in opposite directions with velocity of A equal to 0.3 m/s. After collision the two balls come to rest, then the velocity of B is


A

0.15 m/sec

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B

1.5 m/sec

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C

- 0.15 m/sec

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D

None of the above

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Solution

The correct option is C

- 0.15 m/sec


Initial linear momentum of system = mA vA+mB vB

= (0.2×0.3)+(0.4×vB)

Finally both balls come to rest

final linear momentum = 0

By the law of conservation of linear momenum

(0.2×0.3)+(0.4×vB)=0

vB=0.2×0.30.4=0.15m/s


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