- #1

VVS

- 91

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Hi,

I really need clarification for this problem.

A rocket with initial mass M0 is accelerated by expulsion of a partial mass dm of its mass m with a constant velocity u. Write down the differential equation corresponding to the conservation law of momentum for the velocity v(m) of the rocket and evaluate it under the condition v(m = M0) = v0. What is the terminal velocity when the final mass of the rocket is Me?

I have attached three different approaches (all using the conservation of momentum principle) of mine in this pdf file.

But unfortunately I get three different results.

Please point out which approach is wrong.

thanks a lot

VVS

I really need clarification for this problem.

## Homework Statement

A rocket with initial mass M0 is accelerated by expulsion of a partial mass dm of its mass m with a constant velocity u. Write down the differential equation corresponding to the conservation law of momentum for the velocity v(m) of the rocket and evaluate it under the condition v(m = M0) = v0. What is the terminal velocity when the final mass of the rocket is Me?

## The Attempt at a Solution

I have attached three different approaches (all using the conservation of momentum principle) of mine in this pdf file.

But unfortunately I get three different results.

Please point out which approach is wrong.

thanks a lot

VVS