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A 68 kg hiker walks at 5. 0 km/h up a 4 % slope. The indicated incline is the ratio of the vertical distance and the horizontal distance expressed as percentage.

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shahdshaker203

Explanation:

As we know that the slope of the inclination is 4%

so we can say that

tan\theta = 0.04tanθ=0.04

since it is very small so here we can take approximation as

tan\theta = sin\theta = 0.0

4tanθ=sinθ=0.04

so we need to find the metabolic power which is given as

P = F. vP=F.v

so here we have

F = mg sin\thetaF=mgsinθ

v = 5 km/h = 1.39 m/sv=5km/h=1.39m/s

now we have

P = (68)(9.81)(0.04)(1.39)P=(68)(9.81)(0.04)(1.39)

P = 37.089648 WattP=37.089648Watt

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