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In downhill speed skiing a skier is retarded by both the air dragforce on the bo

ID: 1662369 • Letter: I

Question

In downhill speed skiing a skier is retarded by both the air dragforce on the body and the kinetic frictional force on the skis.Suppose the slope angle is = 36.5°, the snowis dry snow with a coefficient of kinetic frictionk = 0.0400, the mass of the skierand equipment is m = 90.0 kg,the cross-sectional area of the (tucked) skier is A = 1.30m2, the drag coefficient is C = 0.150, and theair density is 1.20 kg/m3. (a) What is the terminal speed?
1 m/s

(b) If a skier can vary C by a slight amountdC by adjusting, say, the hand positions, what isthe corresponding variation in the terminal speed?(dvt/dC)
2 m/s
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(a) What is the terminal speed?
1 m/s

(b) If a skier can vary C by a slight amountdC by adjusting, say, the hand positions, what isthe corresponding variation in the terminal speed?(dvt/dC)
2 m/s
  • Read the eBook

Explanation / Answer

    the terminal speed will be     vt = (2 Fg / C A)         = (2 m gsin / C A)         = (2k m g cos / C A)         = ........ m / s

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