Question

A man of mass 60 kg runs up a flight of 30 steps in 15 second. If each step is 20 cm high , calculate the power developed by the man . Take g = 10ms^-2

Answer 1

The work done by the man in climbing a distance $h$ against gravity is

$W=mgh$.

Here $h=30(20\;cm)=600\;cm=6\;m$.

So the work done by the man is

$W=(60)(10)6=3600\;J$.

The power is rate of doing work.

The power developed by the man is

$P=\frac{W}{t} =\frac{3600}{15} =240\;W$

Answer 2

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