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?
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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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