A student weighing 673 N climbs at constant

speed to the top of an 11 m vertical rope in
14 s.
What is the average power expended by the
student to overcome gravity?

power=work/time=weight*height/time

To find the average power expended by the student to overcome gravity, we need to use the formula: Power = Work / Time.

First, we need to find the work done by the student to overcome gravity. The work done is given by the formula: Work = Force x Distance.

In this case, the force is equal to the weight of the student, which is given as 673 N. The distance is the height climbed, which is 11 m.

Therefore, the work done by the student is: Work = 673 N x 11 m = 7403 N∙m or Joules (J).

Now we can calculate the average power expended by the student. Since the time taken is given as 14 s, we have:

Power = Work / Time
Power = 7403 J / 14 s

Using a calculator, we can determine the average power expended by the student to overcome gravity:

Power ≈ 529.5 Watts (W)

So, the average power expended by the student to overcome gravity is approximately 529.5 Watts.