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Question

Power versus time graph for a force is given below. Work done by the force upto time t (t0),


A
First decreases then increases
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B
First increases then decreases
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C
Always increases
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D
Always decreases
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Solution

The correct option is C Always increases
We know that, power of a force is given by, P=dWdt
where dW is work done in time interval dt.
dW=Pdt= Area under Pt graph.

The work done by force from time t=0 to t=to sec is given by shaded area in graph below.
We can see that, as t increases, this area increases.


Work done by force keeps on increasing.

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