Physics

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Elastic Potential Energy Calculator.

Calculate ideal linear-spring energy and restoring-force magnitude.

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Set your values

Results update as you type.

02 / ANSWER

Spring stiffness

Extension or compression

Elastic energy

0.000000J

Restoring force

0.000000N

Results update automatically as you type.

Use Cases

Physics homework and exam prep

Quickly verify your manual calculations for spring energy and force, helping you understand the relationship between stiffness, displacement, and stored energy.

Example: Check the energy stored when a 200 N/m spring is compressed by 0.05 m.

Engineering design and prototyping

Estimate the energy storage and force requirements for springs in mechanical systems, such as suspension or latch mechanisms.

Example: Determine the force needed to compress a spring 0.1 m with a stiffness of 500 N/m.

Frequently Asked Questions

What does this calculator compute?: It computes the elastic potential energy stored in an ideal linear spring and the magnitude of the restoring force, given the spring stiffness (N/m) and the extension or compression (m).
What units should I use?: Enter spring stiffness in newtons per meter (N/m) and extension or compression in meters (m). The calculator will output energy in joules (J) and force in newtons (N).
Can I use this for non-linear springs?: No, this calculator assumes an ideal linear spring where force is directly proportional to displacement (Hooke's law). For non-linear springs, the relationship is more complex.

Tips & Common Mistakes

Tips

Ensure the displacement is in meters; convert from centimeters or millimeters to avoid errors.
Remember that energy is proportional to the square of displacement, so doubling the stretch quadruples the stored energy.
For compression, the displacement is negative, but the calculator uses magnitude, so enter a positive value for the amount of compression.
Use consistent units: if stiffness is in N/m and displacement in m, the energy will be in joules.

Common Mistakes to Avoid

Forgetting to convert displacement to meters, leading to incorrect energy values.
Using the total displacement instead of the change from the spring's natural length.
Confusing the restoring force with the applied force; they are equal in magnitude but opposite in direction.

Last updated: August 13, 2026

Use Cases

Physics homework and exam prep

Quickly verify your manual calculations for spring energy and force, helping you understand the relationship between stiffness, displacement, and stored energy.

Example: Check the energy stored when a 200 N/m spring is compressed by 0.05 m.

Engineering design and prototyping

Estimate the energy storage and force requirements for springs in mechanical systems, such as suspension or latch mechanisms.

Example: Determine the force needed to compress a spring 0.1 m with a stiffness of 500 N/m.

Frequently Asked Questions

What does this calculator compute?

It computes the elastic potential energy stored in an ideal linear spring and the magnitude of the restoring force, given the spring stiffness (N/m) and the extension or compression (m).

What units should I use?

Enter spring stiffness in newtons per meter (N/m) and extension or compression in meters (m). The calculator will output energy in joules (J) and force in newtons (N).

Can I use this for non-linear springs?

No, this calculator assumes an ideal linear spring where force is directly proportional to displacement (Hooke's law). For non-linear springs, the relationship is more complex.

Tips & Common Mistakes

Tips

Ensure the displacement is in meters; convert from centimeters or millimeters to avoid errors.
Remember that energy is proportional to the square of displacement, so doubling the stretch quadruples the stored energy.
For compression, the displacement is negative, but the calculator uses magnitude, so enter a positive value for the amount of compression.
Use consistent units: if stiffness is in N/m and displacement in m, the energy will be in joules.

Common Mistakes to Avoid

Forgetting to convert displacement to meters, leading to incorrect energy values.
Using the total displacement instead of the change from the spring's natural length.
Confusing the restoring force with the applied force; they are equal in magnitude but opposite in direction.

Use Cases

Physics homework and exam prep

Quickly verify your manual calculations for spring energy and force, helping you understand the relationship between stiffness, displacement, and stored energy.

Example: Check the energy stored when a 200 N/m spring is compressed by 0.05 m.

Engineering design and prototyping

Estimate the energy storage and force requirements for springs in mechanical systems, such as suspension or latch mechanisms.

Example: Determine the force needed to compress a spring 0.1 m with a stiffness of 500 N/m.

Frequently Asked Questions

What does this calculator compute?

It computes the elastic potential energy stored in an ideal linear spring and the magnitude of the restoring force, given the spring stiffness (N/m) and the extension or compression (m).

What units should I use?

Enter spring stiffness in newtons per meter (N/m) and extension or compression in meters (m). The calculator will output energy in joules (J) and force in newtons (N).

Can I use this for non-linear springs?

No, this calculator assumes an ideal linear spring where force is directly proportional to displacement (Hooke's law). For non-linear springs, the relationship is more complex.

Tips & Common Mistakes

Tips

Ensure the displacement is in meters; convert from centimeters or millimeters to avoid errors.
Remember that energy is proportional to the square of displacement, so doubling the stretch quadruples the stored energy.
For compression, the displacement is negative, but the calculator uses magnitude, so enter a positive value for the amount of compression.
Use consistent units: if stiffness is in N/m and displacement in m, the energy will be in joules.

Common Mistakes to Avoid

Forgetting to convert displacement to meters, leading to incorrect energy values.
Using the total displacement instead of the change from the spring's natural length.
Confusing the restoring force with the applied force; they are equal in magnitude but opposite in direction.