A 60-kg woman climbs a mountain 2000 m high in 10 h.Her average power output during the climb is

Question

Quizplus · Accepted Answer

We can use the formula:

power = work/time

First, we need to find the work done by the woman in climbing the mountain:

work = force x distance

The force exerted by the woman is equal to her weight, which is:

force = mass x gravity = 60 kg x 9.8 m/s^2 = 588 N

The distance climbed is 2000 m.

So, the work done is:

work = force x distance = 588 N x 2000 m = 1,176,000 J

Now, we can calculate the power:

power = work/time = 1,176,000 J / 10 h = (1,176,000 J / 36000 s) = 32.7 W

Rounding to two significant figures, the answer is B) 33 W.

A 60-Kg Woman Climbs a Mountain 2000 M High in 10