A boy of mass $50 k g$ runs up a staircase of $45$ steps in $9 s$ . If the height of each step is $15 c m$ , find his power.(Take $g = 10 m s^{- 2}$ )

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Solution

Step 1: Given data.
Mass of the body m $= 50 k g$
No. of steps $= 45$
Time taken t $= 9 s$
Height of each step $= 15 c m = 0.15 m$
Total height boy covered h $= 45 \times 0.15 m = 6.75 m$
Step 2: To find the power of the boy.
We know that Power, $P = \frac{m g h}{t}$ , where, m is mass; g is the acceleration due to gravity; h is height at which body is present.
$P = \frac{50 k g \times 10 m s^{- 2} \times 6.75 m}{9 s}$
$P = 375 W$
Hence, the power of the boy is $375 W$ .

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