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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

1 km/h

B

3km/h

C

2km/h

D

4km/h

Text Solution

Verified by Experts

The correct Answer is:
A
36 km/hour `=(36000)/(3600)=10` m/s
`m_(1)v_(1)+m_(2)v_(2)=(m_(1)+m_(2))v`
`therefore 2 xx 10 +0 =(2+3)v`
`therefore 5v = 20 therefore 4`m/s
`therefore` Loss in Kinetic Energy
`=1/2 m_(1)v_(1)^(2) + 1/2 m_2 v_(2)^(2) -1/2 (m_(1)+m_(2))v^2`
`1/2 xx 2xx (10^2)+0-1/2 (2+3)xx4^(2)`
`=100-40=60` J
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