A man whose mass is $50\ kg$ climbs up $30$ steps of a stair in $30\ s$. If each step is $20\ cm$ high, calculate the power used in climbing the stairs. [Take $g=10\ ms^{-2}$]

Mass of the man $m=50\ kg.$

Number of stairs climbed by the man $=30$

Height of each stairs $h=20\ cm=\frac{20}{100}\ m=\frac{1}{5}\ m$

Time taken by the man to climb the steps $t=10\ sec.$

Total height climbed by the man $h=$Number of stairs$\times$ Height of each stairs

$=30\times\fracc{1}{5}$

$=6\ m$

Work done by the man to climb the stairs $W=mgh$

$=50\times10\times6$

$=3000\ Joule$

Therefore, power used for climbing the stairs $P=\frac{Work\ done}{time}$

$=\frac{3000\ Joule}{10\ sec.}$

$=300\ Watt$

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Updated on: 10-Oct-2022

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