Potential energy formula for a spring (Us = 0.5kx^2)
Written by the Fiveable Content Team • Last updated September 2025
Verified for the 2026 exam
Verified for the 2026 exam•Written by the Fiveable Content Team • Last updated September 2025
Definition
The potential energy formula for a spring represents the stored energy in a compressed or stretched spring. It is calculated by multiplying half of the spring constant (k) by the square of the displacement (x) from its equilibrium position.
Related terms
Spring constant (k): A measure of how stiff or flexible a spring is. It determines how much force is required to stretch or compress the spring by a certain amount.
Displacement (x): The distance from an object's equilibrium position to its current position. In the case of a spring, it refers to how much it has been stretched or compressed.
Elastic potential energy: The potential energy stored in an elastic material, such as a stretched or compressed spring. It arises due to deformation and can be recovered when the material returns to its original shape.
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