Mechanics

Spring Potential Energy

PE=12kx2PE = \frac{1}{2}kx^2

Elastic potential energy stored in a spring.

Variables

PE
Potential energy
Energy in spring
J
k
Spring constant
Spring stiffness
N/m
x
Displacement
Stretch/compression
m

Derivation

Work to stretch spring: W = ∫kx dx = ½kx².

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