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Work Energy Theorem Application

A boy of mass...

Question

A boy of mass $40 k g$ runs up a flight of $15$ steps each $15 c m$ high in $10 s$ .Find the power developed by him: Take $g = 10 N$ $k g^{- 1}$

9 W

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0.9 W

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90000 W

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90 W

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Solution

The correct option is D $90 W$
$F o r c e = m \times g = 40 \times 10 = 400 N$
$W o r k d o n e = F \times s$
Here we have 15 steps with 15 cm hence total displacement is $225 c m$ that is $2.25 m$
$W = 400 \times 2.25 = 900 J$
$P o w e r = w o r k / t i m e$
$P = 900 / 10 = 90 W a t t$
Hence we need a power of $90 W$ .

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