Question

A 51 kg woman runs up a flight of stairs in 5 s. Her net upward displacement is 5 m. Approximately, what average power did the woman exert while running?

A) 5 W
B) 1 kW
C) 0.75 kW
D) 0.50 kW
E) 0.25 kW

Answer 1

The average power exerted by the woman while running is approximately 509.4 W.

Step-by-step explanation:

To calculate the average power exerted by the woman while running, we need to use the formula: average power = work / time. In this case, the work done is equal to the force applied multiplied by the displacement. The force applied can be calculated using the woman's mass and acceleration due to gravity, which is approximately 9.8 m/s².

Using the formula for average power, we can calculate: average power = (force applied * displacement) / time. Plugging in the given values, we get: average power = (51 kg * 9.8 m/s² * 5 m) / 5 s. This simplifies to 509.4 W. So, the average power exerted by the woman while running is approximately 509.4 W.