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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» ong>1 hp = 746 watts = 746 N-m/s
Going up a 16 degree hill,
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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