Question
A boy of mass 10kg climbs up 10 steps each of height 0.2m in 20 seconds. Calculate the power of the body
Answers
GPT 3.5
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.
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.