A man of mass 60 , kg runs up a flight of 30 | vedclass

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Question

(A) Given: Mass of the man $m = 60 \, kg$,time taken $t = 40 \, s$,number of steps $= 30$,height of each step $= 20 \, cm = 0.2 \, m$.Total height $h

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$A$) $90 \, W$

Vedclass · Answer

(A) Given: Mass of the man $m = 60 \, kg$,time taken $t = 40 \, s$,number of steps $= 30$,height of each step $= 20 \, cm = 0.2 \, m$.Total height $h = 30 	imes 0.2 \, m = 6 \, m$.Acceleration due to gravity $g = 10 \, m/s^2$ (taking $g = 10 \, m/s^2$ for simplicity).Work done $W = mgh = 60 	imes 10 	imes 6 = 3600 \, J$.Power $P = \frac{W}{t} = \frac{3600 \, J}{40 \, s} = 90 \, W$.Thus,the power of the man is $90 \, W$.

$A$ man of mass $60 \, kg$ runs up a flight of $30$ steps in $40 \, s$. If each step is $20 \, cm$ high,calculate the power of the man.

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