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# Need help In Rocket Physics (1)

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Fuel is ejected from a rocket of mass $${ M }_{ 0 }$$ at a velocity $$u$$ $$m/s$$ relative to Rocket. Fuel is ejecting at constant rate of $$\mu \quad Kg/s$$. Initial Velocity rocket starts from rest from the surface of earth

( Neglect air and other resistance force in both Cases)

Q1). Assume gravity is constant , Find acceleration, velocity and Thrust as a function of time.

Q2). Assume gravity changes with height $$h$$ from earth surface as $$g\left( h \right) =\frac { g }{ { \left( 1+\frac { h }{ { R }_{ e } } \right) }^{ 2 } }$$, Find acceleration, Velocity and Thrust as a function of time.

Note by Rishabh Deep Singh
9 months, 4 weeks ago

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Is acceleration $$\frac{\mu u}{M_{0} -\mu t}$$ ? · 9 months, 4 weeks ago

How do you find it ?? I don't know the answer. · 9 months, 4 weeks ago

Use conservation of momentum and a=dv/dt. · 9 months, 4 weeks ago

You are totally wrong.

We can't apply conservation of momentum as there is gravity and also mass is changing with Time. · 9 months, 4 weeks ago