A man weighing 200 N runs up a staircase in 5s. If the height of the staircase is 9 m, calculate the power of the man.
Answer Details
The power of a person is defined as the amount of work done per unit time. In this case, the work done by the man is equal to his weight multiplied by the height he climbs. Therefore, the work done by the man is:
Work = Force x Distance
Work = 200 N x 9 m
Work = 1800 J
The time taken by the man to climb the stairs is 5 seconds. Therefore, the power of the man is:
Power = Work / Time
Power = 1800 J / 5 s
Power = 360 W
So the power of the man is 360 watts (W). This means that the man can perform work at a rate of 360 joules per second, which is a measure of his physical exertion during the climb.