In downhill speed skiing a skier is retarded by both the air drag force on the body and the kinetic frictional force on the skis. Suppose the slope angle is e- 40.0, the snow is dry snow with a coefficient of kinetic friction p, - 0.0440, the mass of the skier and equipment is m = 89.0 kg, the cross-sectional area of the (tucked) skier is A = 1.60 m2, the drag coefficient is C=0.190, and the air density is 1.20 kg/m. (a) What is the terminal speed? (b) If a skier can vary Cby a slight amount dC by adjusting, say, the hand positions, what is the corresponding variation in the terminal speed? Give your answer in terms of the given values and dC (need derivative for given values). (a) Number Units (b) Number dc Units
In downhill speed skiing a skier is retarded by both the air drag force on the body and the kinetic frictional force on the skis. Suppose the slope angle is e- 40.0, the snow is dry snow with a coefficient of kinetic friction p, - 0.0440, the mass of the skier and equipment is m = 89.0 kg, the cross-sectional area of the (tucked) skier is A = 1.60 m2, the drag coefficient is C=0.190, and the air density is 1.20 kg/m. (a) What is the terminal speed? (b) If a skier can vary Cby a slight amount dC by adjusting, say, the hand positions, what is the corresponding variation in the terminal speed? Give your answer in terms of the given values and dC (need derivative for given values). (a) Number Units (b) Number dc Units
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Transcribed Image Text:In downhill speed skiing a skier is retarded by both the air drag force on the body and the kinetic frictional force on the skis. Suppose
the slope angle is e = 40.0°, the snow is dry snow with a coefficient of kinetic friction u, - 0.0440, the mass of the skier and equipment
is m = 89.0 kg, the cross-sectional area of the (tucked) skier is A = 1.60 m², the drag coefficient is C= 0.190, and the air density is 1.20
kg/m (a) What is the terminal speed? (b) If a skier can vary Cby a slight amount dC by adjusting, say, the hand positions, what is the
corresponding variation in the terminal speed? Give your answer in terms of the given values and dC (need derivative for given values).
(a) Number
Units
(b) Number
dC Units
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