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A man of mass $60 kg$ runs up a flight of $30$ steps in $40 s$ . If each step is $20 cm$ high, calculate his power. (Take $g = 10 m / s^{2}$ )

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9 W

90 W

900 W

9 kW

answer is B.

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Detailed Solution

A man of mass

60 kg

runs up a flight of

30

steps in

40 s

. If each step is

20 cm

high, his power will be

90 W .

Power is defined as the rate of doing work

P = \frac{W}{t}

Total height of flight of stairs(

h

)

= 30 \times 20 cm

= 30 \times 0.2 m

= 6 m

mass of the man is

(m) = 60 kg

acceleration due to gravity

(g) = 10 m / s^{2}

Work here is done against gravity and is equal to

W = mgh

W = 60 \times 10 \times 6

\Rightarrow W = 3600 J

P = \frac{3600 J}{40 s}

\Rightarrow P = 90 W

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