physics power output

Question

Someone runs up 115 flights of stairs totaling 2067 steps in 12 min 47s . If the height of each step was 0.31 m and the mass of the runner was 85,0 kg what was his average power output during the climb? Give you answer in both watts and horsepower.

Answer 1

Total Height = 2067 x 0.31 = 640.77 meters

Total Work Done = mass x gravity x height = 85 x 9.8 x 640.77 = 533,761 Joules

Total Time = 47 +12 x 60 = 767 seconds

Power = Work/Time = 533,761/767 = 696 Watts

1 HP = 745.7 Watts so 696/745.7 = 0.933 HP