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Define Rocket in Drag (Princeton)?
A rocket has an effectual frontal area A and blasts off with a constant acceleration a straight up from the surface of the Earth.
a) Use either/or dimensional analysis or an elementary derivation to find out how the atmospheric drag on the rocket should vary as some power(s) of the area A, the rocket velocity v and the atmospheric density p assuming that we are in the region of high Reynolds numbers.
b) Presume that the atmosphere is isothermal with temperature T. Analyzes the variation of the atmospheric density p with height z. Presume that the gravitational acceleration g is a constant and that the density at sea level is Po.
c) Find the height ho at which the drag on the rocket is at an utmost.
Write down the Maxwell's equation in differential form for free space.
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