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Flying Circus of Physics 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 8= 42.0°, the snow is dry snow with a coefficient of kinetic friction = 0.0440, the mass of the skier and equipment is m = 85.0 kg, the cross-sectional area of the (tucked) skier is A = 1.40 m², the drag coefficient is C = 0.150, and the air density is 1.20 kg/m³. (a) What is the terminal speed? (b) If a skier can vary C by 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 (b) Number i 52.7 i 10.9 Units dC Units m/s m/s

Flying Circus of Physics 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 8= 42.0°, the snow is dry snow with a coefficient of kinetic friction = 0.0440, the mass of the skier and equipment is m = 85.0 kg, the cross-sectional area of the (tucked) skier is A = 1.40 m², the drag coefficient is C = 0.150, and the air density is 1.20 kg/m³. (a) What is the terminal speed? (b) If a skier can vary C by 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 (b) Number i 52.7 i 10.9 Units dC Units m/s m/s

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Flying Circus of Physics 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 8= 42.0°, the snow is dry snow with a coefficient of kinetic friction = 0.0440, the mass of the skier and equipment is m = 85.0 kg, the cross-sectional area of the (tucked) skier is A = 1.40 m², the drag coefficient is C = 0.150, and the air density is 1.20 kg/m³. (a) What is the terminal speed? (b) If a skier can vary C by 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 (b) Number 52.7 10.9 authook and Media Units dC Units m/s m/s
Transcribed Image Text:Flying Circus of Physics 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 8= 42.0°, the snow is dry snow with a coefficient of kinetic friction = 0.0440, the mass of the skier and equipment is m = 85.0 kg, the cross-sectional area of the (tucked) skier is A = 1.40 m², the drag coefficient is C = 0.150, and the air density is 1.20 kg/m³. (a) What is the terminal speed? (b) If a skier can vary C by 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 (b) Number 52.7 10.9 authook and Media Units dC Units m/s m/s
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