A MAN WEIGHING 200 N RUNS UP A STAIRCASE IN 5 s. IF THE HEIGHT OF THE STAIRCASE IS 9 m, CALCULATE THE POWER OF THE MAN
January 1, 2024
To calculate the power of a man running up a staircase, we can use the formula:
Power = Work done / Time
First, let’s calculate the work done by the man. The work done is equal to the force applied multiplied by the distance traveled. In this case, the force applied is the weight of the man, which is 200 N, and the distance traveled is the height of the staircase, which is 9 m.
Work done = Force × Distance
Work done = 200 N × 9 m
Work done = 1800 N·m
Next, we need to determine the time it took for the man to run up the staircase, which is given as 5 seconds.
Now we can calculate the power:
Power = Work done / Time
Power = 1800 N·m / 5 s
Power = 360 W
Therefore, the power exerted by the man running up the staircase is 360 watts.