A 51-kg woman runs up a flight of stairs in 5.0 s. Her net upward displacement is 5.0 m. Approximately, what average power did the woman exert while she was running?
A)5.0 kW
B)1.0 kW
C)0.75 kW
D)0.50 kW
E)0.25 kW

Question

Quizplus · Accepted Answer

The average power exerted can be calculated using the formula: Power = Work/Time. The work done is equal to the gravitational potential energy gained, which is mgh (mass x gravity x height). Here, m = 51 kg, g = 9.8 m/s², and h = 5.0 m. So, Work = 51 kg * 9.8 m/s² * 5.0 m = 2499 J. The time is 5.0 s. Therefore, Power = 2499 J / 5.0 s = 499.8 W, which is approximately 0.50 kW.

A 51-Kg Woman Runs Up a Flight of Stairs in 5.0