Hyperloop: Drag

The Hyperloop is a hypothetical new fast transport system between cities, which works by launching pods that carry people through a very low air pressure tunnel. The drag force on the 15000 kg15000~\mbox{kg} Hyperloop pod traveling at approximately 300 m/s300~\mbox{m/s} is 320 N320~\mbox{N}. If the drag force follows the usual law of Fd=Cv2F_d=Cv^2, where CC is a constant and vv is the velocity, then how long would it take in seconds for the Hyperloop pod to slow down to 150 m/s150~\mbox{m/s}?

Note: it's a pretty long time, which gives you an idea of why the Hyperloop is pretty energy efficient.

Details and assumptions

  • Assume drag is the only force on the Hyperloop pod.
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