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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
6 months ago

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Is acceleration \(\frac{\mu u}{M_{0} -\mu t}\) ? Harsh Shrivastava · 6 months ago

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@Harsh Shrivastava How do you find it ?? I don't know the answer. Rishabh Deep Singh · 6 months ago

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@Rishabh Deep Singh Use conservation of momentum and a=dv/dt. Harsh Shrivastava · 6 months ago

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@Harsh Shrivastava You are totally wrong.

We can't apply conservation of momentum as there is gravity and also mass is changing with Time. Rishabh Deep Singh · 6 months ago

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