How much energy is stored when you stretch or compress an ideal spring?
In short: This video explains the relationship between conservative forces and potential energy, specifically focusing on the elastic potential energy stored in an ideal spring. It provides the mathematical foundation for understanding how displacement from equilibrium affects energy within a system.
The video explores the behavior of ideal springs, which exert conservative forces and follow Hooke’s law. By applying the general equation for changes in potential energy, it demonstrates that the elastic potential energy of such a system is calculated as ΔU_s = ½k(Δx)^2, where Δx represents the distance of stretch or compression from the spring's equilibrium length.
Crucially, the elastic potential energy of an ideal spring is zero when it is at its relaxed, equilibrium length. This concept is a fundamental component of AP Physics, illustrating how energy is conserved and stored within mechanical systems.
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Sources
- Summary by Intellect · source: Potential energy and conservative forces (part 3) | AP Physics | Khan Academy
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