Question

[Use g = 10 m/s2]

A 80 kg student climbs a flight of stairs 16.2 meters high in 9 seconds. What is the power output of the student?

Answer 1

Step-by-step explanation:

The power output of the student can be calculated using the formula:

Power = Work done / Time taken

We can find the work done by the student using the formula:

Work = Force x Distance

The force required to lift the student against gravity is equal to the weight of the student, which is given by:

Weight = mass x gravity

where g = 10 m/s^2 is the acceleration due to gravity.

Weight = 80 kg x 10 m/s^2 = 800 N

So, the work done by the student to climb the stairs is:

Work = Force x Distance = 800 N x 16.2 m = 12,960 J

Now, we can calculate the power output of the student:

Power = Work done / Time taken = 12,960 J / 9 s = 1,440 W

Therefore, the power output of the student is 1,440 watts.