Rocket Propulsion and Final Momentum
A rocket with an initial mass of M₀ starts from rest in deep space and ejects gas at a constant relative velocity v_rel. What fraction of the initial mass must be ejected for the rocket to reach a final momentum of 0.5M₀v_rel?
A
1 - 0.5M₀/v_rel
B
It is physically impossible to reach a final momentum of 0.5M₀v_rel.
C
1 - e^{-1}
D
0.5
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