A 60.0 kg student runs up a flight of stairs in Rockefeller Hall a height of 4.0 m in a time of 6.0 s. What average mechanical power (in W) is required to do this?

400watts

Explanation:

Power is defined as the amount of energy expended in a specific time. It is also defined as the change in work done with respect to time.

Mathematically,

Power = Workdone/time

Work done = Force*distance

Power = Force * Distance/Time

Given force = mass * acceleration due to gravity

Force = 60*10 = 600N

Distance covered = 4.0m

Time taken = 6.0seconds

Power expended = 600*4/6

Power expended = 400Watts

The average mechanical power (in W) required to do this is 400Watts

392 W.

Explanation:

Given:

Mass, m = 60 kg

Height, h = 4 m

Time, t = 6 s

Power = energy/time

Energy = mass * acceleration * distance

Power = (60 * 9.8 * 4) / 6

= 392 W.