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## Homework Statement

Find the average spring constant (k) of a water-balloon launcher, and use that to find the distance to pull back the launcher and launch a balloon of a certain weight a certain distance. I'm at the "finding k" part.

Diagram attached.

Known:

Weight of balloon (Fw, N), mass of balloon (m, kg)

Height of launcher (H, m)

Length of pullback (B, m)

Angle Theta (since tan Th = h/B)

Flight distance / range (x, m)

Unknown:

Spring constant of launcher (k, N/m)

## Homework Equations

F=kx

U=kx^2/2

???

## The Attempt at a Solution

I just can't find a place to start substituting equations. I tried converting spring energy to gravitational / kinetic energy, but the formulas got very complicated very quickly and lots of extra variables (such as velocity, time, and acceleration) were introduced. I don't think that I can use Fw for Fs, otherwise, why would the pullback distance matter?

I have a lot of data (a whole day on the baseball field hurling water balloons worth), but I don't know how to find the spring constant! Once I have a formula, the rest will be a breeze, but there are too many options, which always makes my brain explode.

**Solved**

It turns out that the teacher had a formula that he wasn't giving us. k=Fwx/2BH, I think. Anyway, it has been solved. Thanks for the help, anyway! =D

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