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A boy of mass...

Question

A boy of mass 40 kg runs up a flight of 50 steps, each 10 cm high, in 5 s. Find the power developed by the boy.

440 W

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500 W

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400 W

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700 W

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Solution

The correct option is D $400 W$
Given, mass of the boy, $m = 40 k g$ ;
total height gained, $h = 50 \times 10 c m$
$= 500 c m = 5 m$
time taken to climb, $t = 5 s$
Work done by the boy,
$W = m g h = (40) (10) (5) = 2000 J$
Power developed, $P = \frac{W}{t} = \frac{2000}{5} = 400 W$

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