How Do You Derive the Tsiolkovsky Rocket Equation?

[jenettezone]

Homework Statement

The mass of a rocket, including a full chamber of fuel, is M. Its net mass without fuel is m. The products of combustion are ejected with velocity c. If the rocket starts from rest, derive Ciolkovski's formula.

Homework Equations

N/A. This is actually from differential equations textbook, and it did not give Ciolkovski's formula. I googled Ciolkovski's formula, but I am trouble finding it...

The Attempt at a Solution

I have no idea how to approach this problem. I do not have enough physics background knowledge to begin the problem :[ please help me...

 

[pellman]

N/A. This is actually from differential equations textbook, and it did not give Ciolkovski's formula. I googled Ciolkovski's formula, but I am trouble finding it...

The spelling varies. Use Tsiolkovsky Formula. http://www.google.com/search?hl=en&q=Tsiolkovsky+Formula&btnG=Search&aq=f&oq=&aqi=

Wikipedia
http://en.wikipedia.org/wiki/Tsiolkovsky_rocket_equation

After reading, if you still have trouble, come back and let us know.

 

[kuruman]

http://en.wikipedia.org/wiki/Tsiolkovsky_rocket_equation