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A stream of air moves with a speed w. Assume that a mass m of air is stopped adiabatically by an obstacle.

(a) Prove that the rise in temperature of this mass of air is given by

ΔT = w2M/5R,

where M is the molar mass of air.

(b) Calculate ?T when w = 600 miles/h.

(c) Apply the equation in part (a) to a meteor moving through a stationary atmosphere at a speed of 20 miles/so What would happen?

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