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Power

A girl of mas...

Question

A girl of mass $40 k g$ climbs $20$ steps of a staircase, each measuring $20 c m$ high in $30 s$ .Calculate the power developed by the girl. [Take g = 10 $m / s^{2}$ ]

160 W

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80 W

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53.33 W

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26.66 W

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Solution

The correct option is D $53.33 W$
Vertical height climbed = Height of step $\times$ No.of steps $= 20 c m \times 20 = 400 c m = 4 m$
Mass of the girl $= 40 k g$
Since, work done is equal to gain in potential energy, therefore we have $= 40 \times 10 \times 4 = 1600 J$
Hence power developed by the girl:
$P$ $=$ $\frac{W}{t}$ $=$ $\frac{1600}{30}$ $= 53.33 W$

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