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Consider a sphere (diameter D, density ϱsph falling through air (density ϱair ) and assume that the drag force is purely quadratic. (a) Use Equation (2.84) from Problem 2.4 (with κ=1 / 4 for a sphere) to show that the terminal speed is vter=√((8)/(3) D g (ϱsph)/(ϱair)) (b) Use this result to show that of two spheres of the same size, the denser one will eventually fall faster. (c) For two spheres of the same material, show that the larger will eventually fall faster. | Numerade
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The density of atmospheric air varies with elevation, decreasing …
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