**1. Find the equation for conservation of energy in system. System consists of three springs A,B and C with stiffness k, 2k and 0.5k respectively and natural lengths l, 0.5l and 2l respectively.** **2. Relevant equations**
Equation for conservation of energy

Datum taken at point A,

Where

is

kinetic energy and

is the

spring stiffness and

is the natural length.

**3. The attempt at a solution**
By analysing the diagam

$\displaystyle U_{springA}=-\frac{1}{2}k(x-l_0)^2$

$\displaystyle U_{springB}=-\frac{1}{2}*2k(x-\frac{1}{2}l_0-\frac{1}{2}l_0)^2=k(x-l_0)^2$

My question is, is the answer

and have I derived the individual energies correctly?

Any help would be greatly appreciated, I've been banging my head against this for weeks.

James