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.

Your notes

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Common questions

What is the Spring Potential Energy formula?

Spring Potential Energy is written PE = 1/2kx². Elastic potential energy stored in a spring. It belongs to Mechanics, under Work & Energy.

What are the units in PE = 1/2kx²?

In SI units, PE is potential energy, measured in kg·m²/s²; k is spring constant, measured in kg/s²; x is displacement, measured in m.

How is the Spring Potential Energy formula derived?

Work to stretch spring: W = ∫kx dx = ½kx². The result is PE = 1/2kx².