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Elastic Potential Energy Calculator

🛹 Work, energy & power. Use the Elastic potential energy formula to find energy stored, spring constant k, extension x: pick the value you want, type the others, and the answer updates as you go.

Ee=12kx2E_e = \tfrac{1}{2}kx^2
Energy stored0.45 J

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Energy storedJ
Spring constant kN/m
Extension xm

Worked example

Find the energy stored when Spring constant k = 40 N/m, Extension x = 0.15 m.

Using Ee = 1/2kx²: Energy stored = 0.45 J.

Frequently asked questions

What is the formula for Elastic potential energy?

Ee = 1/2kx².

What do the letters stand for, and what units are used?

Energy stored in J, Spring constant k in N/m, Extension x in m.

How do you calculate energy stored?

Put the values into Ee = 1/2kx². For example, with Spring constant k = 40 N/m, Extension x = 0.15 m, energy stored = 0.45 J.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (energy stored, spring constant k, extension x) and fill in the others: it rearranges the formula for you.

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