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Mohan (mass 60 kg) runs up a flight of stairs having a rise of 5 m in 6 s. The average power supplied by him during run up is (take ggg​ = 10 m/s
Question

Mohan (mass 60 kg) runs up a flight of stairs having a rise of 5 m in 6 s. The average power supplied by him during run up is (take gg​ = 10 m/s2\text{m/s}^2):

A.

0.72 kW

B.

0.5 kW

C.

3.0 kW

D.

0.05 kW

Correct option is B

Given:Mass, m=60 kgHeight, h=5 mTime, t=6 sAcceleration due to gravity, g=10 m/s2Work Done:The work done to raise the body is given by the formula:W=mghSubstitute the values:W=60 kg×10 m/s2×5 mW=3000 JPower:Power is the rate of doing work, which is given by:P=WtSubstitute the values:P=3000 J6 sP=500 WConvert power from watts to kilowatts:P=0.5 kW\text{Given:} \\\text{Mass, } m = 60 \, \text{kg} \\\text{Height, } h = 5 \, \text{m} \\\text{Time, } t = 6 \, \text{s} \\\text{Acceleration due to gravity, } g = 10 \, \text{m/s}^2 \\\text{Work Done:} \\\text{The work done to raise the body is given by the formula:} \\W = mgh \\\text{Substitute the values:} \\W = 60 \, \text{kg} \times 10 \, \text{m/s}^2 \times 5 \, \text{m} \\W = 3000 \, \text{J} \\\text{Power:} \\\text{Power is the rate of doing work, which is given by:} \\P = \frac{W}{t} \\\text{Substitute the values:} \\P = \frac{3000 \, \text{J}}{6 \, \text{s}} \\P = 500 \, \text{W} \\\text{Convert power from watts to kilowatts:} \\P = 0.5 \, \text{kW}​​

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