A girl of weight 500 N runs up the stairs of a plane in 10 s. The stairs are 5 m high. What is the average power utilised to climb to the top?

50 W

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250 W

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100 W

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1000 W

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Solution

The correct option is B 250 W
Power = $\frac{Work-done}{Time}$
Work done $= F o r c e \times d i s p l a c e m e n t$
$= 500 \times 5 N m = 2500 N m$
Power = 2500 $\frac{N m}{10 s}$
$= 250 \frac{N m}{s} = 250 W$

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