A 45 kg student runs up a flight of stairs that are 3.2 m high in 2 seconds. How much power did the student use during this time?

706 W

288 W

72 W

7.0 W

Verified Answer :

Power = work done/time. Work done by gravity = mgh = 45x9.8x3.2 = 1411.2J. Therefore, power = 1411.2/2 = 705.6 ~ 706W.

Power=Work/time.
In this case Work=increase in potential energy.
Supposing he was initially on the floor, W=mgh=459.83.2=1411.2 J.
Therefore
Power=1411.2/2=705.6≈706 W.