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A rocket of initial mass M_0 and zero initial velocity ejects exhaust at a constant velocity V_ex relative to itself in outer space (no gravity).

A rocket of initial mass M_0 and zero initial velocity ejects exhaust at a constant velocity V_ex relative to itself in outer space (no gravity).

Using conservation of momentum, derive the "rocket equation" for the rocket velocity v as a function of the residual mass m of the rocket. Briefly explain why space engineers use multistage rockets.

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