How much power does it take for a student to climb up stairs?

Question:

What is the power required for a 583 N student to climb up 1.5 m stairs in 2.1 seconds?

Answer:

The power required for a 583 N student to climb up 1.5 m stairs in 2.1 seconds is 416.42 W.

When a 583 N student climbs up 1.5 m stairs in 2.1 seconds, we can determine the power required for this task. The power is a measure of how quickly work is done, and in this case, it represents the rate at which the student is exerting force to overcome gravity and move vertically.

To calculate the power, we first need to find the work done by the student. Work is calculated using the formula:

Work = Force x Distance

Given that the force (F) is 583 N and the distance (s) is 1.5 m, we can substitute these values into the formula to find the work done:

Work = 583 N x 1.5 m = 874.5 J

Now that we have found the work done, we can calculate the power using the formula:

Power = Work / Time

Substitute the work done (874.5 J) and the time taken (2.1 s) into the formula:

Power = 874.5 J / 2.1 s = 416.42 W

Therefore, the power required for a 583 N student to climb up 1.5 m stairs in 2.1 seconds is 416.42 watts