Solve the following problem:
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?