physics
posted by sonia on .
i need help figuring out what formaula to use for finding the final velocity of a rocket.
Model rocket engines are sized by thrust, thrust duration, and total impulse, among other characteristics. A size C5 model rocket engine has an average thrust of 5.26 N, a fuel mass of 12.7 g, and an initial mass of 25.5 g. The duration of its burn is 1.90 s.
If this engine is placed in a rocket body of mass 57.5 g, and if the rocket is fired in outer space, what is the final velocity of the rocket? Assume the fuel burns at a constant rate.

You need to derive or find the "rocket" formula for the velocity of an object that has a fixed force T applied while its mass is decreasing. Calculus is needed to derive it.
You can find it at
http://www.ebtx.com/mars/rocketeq.htm
You will need the rocket exhaust velocity, Ve.
You can get if from
T = dm/dt * Ve
where dm/dt is the rate of mass release, 12.7*10^3 kg/1.90 s,
and T is the thrust in Newtons