Physics Formula relating momentum and height?

Question

Hi. Is there a formula somewhere in physics (I'm guessing it would be quite basic) which shows the relationship between momentum (Mass x Velocity) and height. The reason I ask relates to a physicist named Robert Goddard. He did as follows:

" In 1915, as assistant professor at Clark University, Worcester, he began experiments on the efficiency of rockets. He bought some commercial rockets and measured their thrust using a ballistic pendulum, a heavy mass suspended by ropes, to which the rocket was attached. The rocket was fired, and the height to which the pendulum rose provided a measure of the total momentum (mass times velocity) imparted to it. Goddard also used an equivalent set-up, where the mass pushed against a spring, instead of being suspended."
http://www.phy6.org/stargaze/Sgoddard.htm

So, I basically want to know, whats the mathematical formula or relationship that he used.

Thanks

Answer 1

These references might help.

V=[(m + M)/m]sqrt(2gh )
m - of a projectile or mass of gas exhausted
M - mass of the pendulum
g- acceleration due to gravity
h - height of pendulum after collision.

Oh yea... He did not fire the rocket into the pendulum mass. The mass of the rocket and propellant was the pendulum mass M.