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I built a small potato cannon out of PVC pipe/steel. It's 15.5 cm long, and about 7.6 cm wide on the inside. It's made of 2 parts the barrel and combustion chamber (or as i refer to, "the death chamber"). the "death chamber" is cylinder about 7.6 cm long and 7.6 cm thick.

and the barrel is about 7.6 cm long but it's only about 2.5 cm thick so as to allow a great deal of pressure to be focused on the projectile. I use hairspray as my fuel.

Is there a maximum power point in which after a certain amount of hairspray, it won't matter how much more is added because it will still give the same results?

(assuming I know the Velocity initial when it comes out of the barrel) How can I calculate the force that the the fuel is causing?

(would it be a momentum equation like p=(mass of projectile)*velocity , but how would i incorporate the length of the barrel?)

Please help put me on the right track and,

Thanks so much for your time,

-James