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Question

# Power (P) versus time (t) graph for a force acting on a body is given below. Then, the 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 increasesPower delivered by a force is rate of work done. P=dWdt ⇒W=∫P dt where W= work done by force ∴W=Area under P Vs t curve ⇒From the graph, as time t increases the area under under curve keeps on increasing. Area under the curve is summation of area of every small strip created when the curve grows. ⇒Area under the (P−t) curve is always increasing, as area of each small strip is generated with increase in time. ∴Work done by force continuously increases.

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