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Hooke's Law Calculator.

Calculate spring force and elastic energy for a linear spring.

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02 / ANSWER

Spring stiffness

Displacement

Force

0.000000

Elastic energy

0.000000

Educational SI models with assumptions stated in each description; verify engineering decisions independently.

Use Cases

Designing mechanical springs

Engineers can quickly determine the force and energy for a given spring stiffness and displacement to ensure components meet specifications.

Example: Check if a spring with k=500 N/m compressed 0.1 m produces 50 N force.

Physics homework and experiments

Students can verify experimental results or solve textbook problems involving spring force and elastic potential energy.

Example: Calculate the energy stored when a spring (k=200 N/m) is stretched 0.05 m.

Frequently Asked Questions

What is Hooke's Law?: Hooke's Law states that the force needed to extend or compress a spring by some distance is proportional to that distance. The formula is F = kx, where k is the spring stiffness (N/m) and x is the displacement (m).
How is elastic energy calculated?: Elastic potential energy stored in a spring is calculated using the formula U = 0.5 * k * x^2, where k is the spring stiffness (N/m) and x is the displacement (m). This calculator provides both force and energy.
What units should I use?: Enter spring stiffness in newtons per meter (N/m) and displacement in meters (m). The calculator will output force in newtons (N) and energy in joules (J).

Tips & Common Mistakes

Tips

Ensure displacement is measured from the spring's natural length, not from an already compressed or stretched position.
Use consistent units: if you enter stiffness in N/m, displacement must be in meters to get force in newtons.
Remember that Hooke's Law applies only within the elastic limit; beyond that, the spring may deform permanently.
For small displacements, the energy calculation is accurate, but for large displacements, consider nonlinear effects.

Common Mistakes to Avoid

Forgetting to convert displacement to meters if you have it in centimeters or millimeters.
Using the total length of the spring instead of the displacement from equilibrium.
Confusing force with energy: force is kx, while energy is 0.5kx^2.

Last updated: August 13, 2026

Use Cases

Designing mechanical springs

Engineers can quickly determine the force and energy for a given spring stiffness and displacement to ensure components meet specifications.

Example: Check if a spring with k=500 N/m compressed 0.1 m produces 50 N force.

Physics homework and experiments

Students can verify experimental results or solve textbook problems involving spring force and elastic potential energy.

Example: Calculate the energy stored when a spring (k=200 N/m) is stretched 0.05 m.

Frequently Asked Questions

What is Hooke's Law?

Hooke's Law states that the force needed to extend or compress a spring by some distance is proportional to that distance. The formula is F = kx, where k is the spring stiffness (N/m) and x is the displacement (m).

How is elastic energy calculated?

Elastic potential energy stored in a spring is calculated using the formula U = 0.5 * k * x^2, where k is the spring stiffness (N/m) and x is the displacement (m). This calculator provides both force and energy.

What units should I use?

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

Tips & Common Mistakes

Tips

Ensure displacement is measured from the spring's natural length, not from an already compressed or stretched position.
Use consistent units: if you enter stiffness in N/m, displacement must be in meters to get force in newtons.
Remember that Hooke's Law applies only within the elastic limit; beyond that, the spring may deform permanently.
For small displacements, the energy calculation is accurate, but for large displacements, consider nonlinear effects.

Common Mistakes to Avoid

Forgetting to convert displacement to meters if you have it in centimeters or millimeters.
Using the total length of the spring instead of the displacement from equilibrium.
Confusing force with energy: force is kx, while energy is 0.5kx^2.

Use Cases

Designing mechanical springs

Engineers can quickly determine the force and energy for a given spring stiffness and displacement to ensure components meet specifications.

Example: Check if a spring with k=500 N/m compressed 0.1 m produces 50 N force.

Physics homework and experiments

Students can verify experimental results or solve textbook problems involving spring force and elastic potential energy.

Example: Calculate the energy stored when a spring (k=200 N/m) is stretched 0.05 m.

Frequently Asked Questions

What is Hooke's Law?

How is elastic energy calculated?

What units should I use?

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

Tips & Common Mistakes

Tips

Ensure displacement is measured from the spring's natural length, not from an already compressed or stretched position.
Use consistent units: if you enter stiffness in N/m, displacement must be in meters to get force in newtons.
Remember that Hooke's Law applies only within the elastic limit; beyond that, the spring may deform permanently.
For small displacements, the energy calculation is accurate, but for large displacements, consider nonlinear effects.

Common Mistakes to Avoid

Forgetting to convert displacement to meters if you have it in centimeters or millimeters.
Using the total length of the spring instead of the displacement from equilibrium.
Confusing force with energy: force is kx, while energy is 0.5kx^2.