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In one dimensional motin, a 1 kg body ex...

In one dimensional motin, a 1 kg body experiences a force, which is linear function of time t viz. `F=2t` acting in the direction of motion. What is the work done by the force in the first 4 second?

A

16J

B

32J

C

64J

D

128J

Text Solution

Verified by Experts

The correct Answer is:
D
Work done by a force `W=vecF. Vecs=F s cos theta`
(i) The body moves in the direction of the applied force `therefore theta=0^(@)`
`therefore` The work (W)= `Fs cos 0^(@)=Fs and` W is positive.
(ii) The gravitional force acts downwards and the body is moving upwards
`therefore theta=180^(@) and W=Fs cos 180^(@)=-Fs`
`therefore W` is negative
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