Question

During the Powerhouse lab, Jerome runs up the stairs, elevating his 102 kg body a vertical distance of 2.29 meters in a time of 1.32 seconds at a constant speed.

a. Determine the work done by Jerome in climbing the stair case.
b. Determine the power generated by Jerome.

Include detailed process please

Answer 1

Solution:

Mass, m = 102 kg

Vertical distance(Height), h = 2.29 meters

Time, t = 1.32 seconds

Acceleration due to gravity, g = 9.8 m/s²

a. We have to calculate work done by Jerome in climbing stair case.

Work done, W = mgh = 102 * 9.8 * 2.29 = 2289.084 Nm = 2289.084 J

b. We have to calculate power generated by Jerome.

Power, P = (mgh)/t

But, we have already calculated W = mgh so,

P = W/t

P = 2289.084/1.32

P = 1734.154 J/s

P ≈ 1734 W

The work done by Jerome is 2289.084 J and power generated is 1734 W.