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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 increasesWe know that, power of a force is given by, P=dWdt where dW is work done in time interval dt. ⇒dW=Pdt= Area under P−t graph. The work done by force from time t=0 to t=t 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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