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 0 = 42.0°, the snow is dry snow with a coefficient of kinetic friction µk = 0.0410, the mass of the skier and equipment is m = 88.0 kg, the cross-sectional area of the (tucked) skier is A = 1.70 m², the drag coefficient is C = 0.150, and the air density is 1.20 kg/m°. (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).
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 0 = 42.0°, the snow is dry snow with a coefficient of kinetic friction µk = 0.0410, the mass of the skier and equipment is m = 88.0 kg, the cross-sectional area of the (tucked) skier is A = 1.70 m², the drag coefficient is C = 0.150, and the air density is 1.20 kg/m°. (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).
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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