# Spring Potential Energy

Written by Jerry Ratzlaff on . Posted in Fastener

Spring potential energy, abbreviated as U, is the stored energy as a result of the objects elastic deformation.

### Spring Potential Energy formula

$$\large{ U = \frac {1}{2} \; k_s \; l^2 }$$

Where:

$$\large{ U }$$ = spring potential energy

$$\large{ k_s }$$ = spring constant

$$\large{ l }$$ = spring stretch length

Solve for:

$$\large{ k_s = \frac {2 \; U}{l^2} }$$

$$\large{ l = \sqrt{ \frac {2 \; U}{k} } }$$