A boy of mass 10kg climbs up 10 steps each of height 0.2m in 20 seconds. Calculate the power of the body

Answer 1

To calculate the power of the body, we first need to determine the work done by the boy in climbing the steps.

Work = Force x Distance

The force required to lift the boy to the top of each step is equal to his weight, which can be calculated using the formula:

Force = Mass x Acceleration due to gravity
Force = 10kg x 9.81m/s^2
Force = 98.1 N

The distance the boy climbs for each step is 0.2m, and there are 10 steps, so the total distance climbed is 2m.

Work = Force x Distance
Work = 98.1 N x 2m
Work = 196.2 J

Now, we can calculate the power of the boy using the formula:

Power = Work / Time

Given that the boy climbs the steps in 20 seconds:

Power = 196.2 J / 20 s
Power = 9.81 watts

Therefore, the power of the boy climbing up the steps is 9.81 watts.