Question

A student who weighs 500N climbed the stairs from the first floor to the third floor, 15m above, in 20s. What was her power? *

Answer 1

To find the power, multiply the weight of the student (500N) by the height climbed (15m) to find the work done (7500 J), then divide by the time taken (20s) to get the power output, which is 375 Watts.

Step-by-step explanation:

Calculating Power in Climbing Stairs

To calculate the power exerted by the student climbing the stairs, we use the formula:

Power (P) = Work done (W) / Time (t)

Work done, which is also the gravitational potential energy gained, can be calculated by:

Work (W) = Weight (Force due to gravity) x Height (h)

In this case, the student weighs 500N and climbs a height of 15 meters:

W = 500N x 15m = 7500 J (Joules)

The time taken to climb is 20 seconds, so we calculate power as:

P = 7500 J / 20 s = 375 W (Watts)

Therefore, the power exerted by the student is 375 Watts.

Answer 2

For the gravitational force F, the Work is given by W = F*h, where h represents the height of the student.
Power P = W / t, where t is time.