The mass of a rocket when filled with fuel is 2M1 and completely unfueled is M1. The rocket ejects gas in its reference system - M2 is the rocket's current mass, and c is a constant, velocity -c(M2-M1)k^(unit vector in the z direction). The rocket starts off at zero velocity and fully fueled. What velocity can the rocket reach without external force? Hint is given in the figure

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The mass of a rocket when filled with fuel is 2M1 and completely unfueled is M1. The rocket ejects gas in its reference system - M2 is the rocket's current mass, and c is a constant, velocity -c(M2-M1)k^(unit vector in the z direction). The rocket starts off at zero velocity and fully fueled.

What velocity can the rocket reach without external force?

Hint is given in the figure

-CM-M.)
Mdu
de
WP
dt
W-w)
de
de
dt
du
cM-M,) dM dt
dt
2n.
Mo
Ao =c-
M.
c(Mo-Mo In (2Mo
M.
Transcribed Image Text:-CM-M.) Mdu de WP dt W-w) de de dt du cM-M,) dM dt dt 2n. Mo Ao =c- M. c(Mo-Mo In (2Mo M.
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