Bart runs up a 2.91-meter high flight of stairs at a constant speed in 2.15 seconds. If Bart's mass is 65.9 kg, determine the work which he did and his power rating answers.

Work = 1879.34 J

Power = 874.11 Watt.

Explanation:

Work; This can be defined as the distance moved a force along a specific direction.

The mathematical representation of work done is

W = mgh ... Equation 1

Where W = work done, m = mass of Bart, h = height, g = acceleration due to gravity.

Power: This can be defined as the rate of doing work.

It is represented mathematically as

P = W/t ... Equation 2

where p = power, W = work done, t = time.

given: m = 65.9 kg, h = 2.91 m, t = 2.15 s

Constant: g = 9.8 m/s²

Substituting these values into equation 1

Work,

W = mgh

W = 65.9*2.91*9.8

W = 1879.34 J

Power

P = W/t

Also substituting into equation 2

P = 1879.34/2.15

P = 874.11 Watt.