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