Question

how fast must a 58 kg mountaineer climb a hill that has a slope of 16° to come up with a power output pf 1.0 hp?
solve plzz

Answer 1

Answer:

1 hp = 746 watts = 746 N-m/s  

Going up a 16 degree hill,  

h = distance * sin 16  

Work = mgh  

Power = W/time = mgh/t = mg distance * sin 16 /time  

Power = mg * sin16 * distance/time  

Power = mg * sin16 * speed  

Speed = Power / (mg sin16)  

Speed = 746 / (58* 9.8 * sin 16) = 4.76m/s

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