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The displacement of a body of mass 3 kg ...

The displacement of a body of mass 3 kg under the action of a force is `s=(t^2)/(3)` metre. The work done in time 2s by the same force (in J) is

A

2

B

3.8

C

5.2

D

2.66

Text Solution

Verified by Experts

The correct Answer is:
D
The displacement at any time t is `s=(t^2)/(3)`
`therefore` Velocity , `v=(ds)/(dt)=2/3t`
`therefore` Work done =change in kinetic energy in time 2s
`=1/2 mv^2 =1/2 xx3xx(2/3xx2) ^2=2.67J`
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