# Energy & Spring Displacement function

1. Nov 17, 2014

### TheWhiteKnyt

1. The problem statement, all variables and given/known data
What would be the energy required to stretch a spring of $$\vec{F}spring = - (ax+βx^2)\hat{x}$$ where$$\vec{x} = x*\hat{x}$$

2. Relevant equations

$$\vec{A}/|A| = \hat{A}$$
$$|\vec{A}| = sqrt(A*A)$$
$$A = (A^x)^2 + (A^y)^2$$

3. The attempt at a solution

So far I'm at a loss just getting started.

2. Nov 17, 2014

### BvU

Hello White, welcome to PF :)

To get started:
Do you know the energy required to stretch a spring of $\vec F = -a\vec x$ ? How was that expression derived ?