In downhill speed skiing a skier is retarded by both the air drag force on the b

Question

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 , the snow is dry snow with a coeffcient of kinetic friction k, the mass of the skier and equipment is m, the cross-sectional area of the (tucked) skier is A, the drag coeffcient is C, and the air density is .
(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 g (note: dC counts as a variable, independent of C).

Explanation / Answer

Drag Force , F = 1/2 C ? A v2 where C = drag coefficient ? = air densitty A = effective cross-sectional area v = relative speed and Terminal speed, vt =v2Fg / C?A the square root is for completeequation. D is eventually equals to Fg

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