For a high school engineering project, a friend and I have found ourselves deriving an equation for how to most efficiently configure a system.
We found an equation that, given a few parameters about the system, equates the amount of material added (and thus weight), to the amount of energy this system will gain. Along the way, we needed to find an equation that, given an amount of material, would describe how to most efficiently use the material.
We were thinking we'd write this up in a nice paper, and publish it somewhere. (For resume building, college applications, etc.).
Where/how could we do this (if anywhere), and how long would it take?
I posted this on Physics StackExchange and it was recommended that I post it here as well.