I'm kinda stuck on a problem that I've tried to overcome. I built a catapult (and I'm very proud of myself) that only uses a counter weight on it's main arm, which is 20 inches long. I want to make up a mathematical equation to go with my catapult, in respect to the counter weight and the object being thrown. Please help!
Details: Counter weight (bag of marbles): 2KG
Arm length: 20 inches
Distance it can throw: 4 meters +
Object thrown: 50grams +
So the formula I had in mind would be in algebra, right? So I could replace the letter with the corresponding numeral. Example: w (weight) = 2KG.
Any help would be appreciated!