Rocket Velocity with Variable Mass
A rocket of initial mass M₀ starts from rest in deep space and ejects gas with an exhaust velocity v_e relative to the rocket. Determine the rocket’s velocity when its mass has been reduced to M₀/e, where e is the base of the natural logarithm.
A
v_e ln(2)
B
2v_e
C
v_e
D
v_e/e
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