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A body of mass m moving with velocity 3k...

A body of mass m moving with velocity `3km//h` collides with a body of mass 2m at rest. Now, the coalesced mass starts to move with a velocity

A

3 km/h

B

2 km/h

C

1 km/h

D

4 km/h

Text Solution

Verified by Experts

The correct Answer is:
C
When the body is the highest point, its velocity
`v=cos 60^(@) = 200 xx 1/2 = 100 `m/s
It explodes into three pieces of equal masses,
Applying the law of conservation of momentum , we find that the pieces going upwards and downwards have equal and opposite momenta and hence their resultant momentum is zero.
`because` Initial momentum = Final momentum
`therefore mxx100 =(m)/(3)xx v`
`therefore v =300 ` m/s
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