Hooke's Law: Spring force, stiffness, extension and stored elastic energy. This free calculator solves for Spring force, constant, extension, energy and shows every step.
Within a spring's elastic limit, the restoring force is proportional to displacement and points back toward equilibrium (hence the minus sign). The stored energy is the area under the force–extension line, ½kx². Beyond the elastic limit the material deforms permanently and the law breaks down.
k = 200 N/m, x = 0.10 m. F = 200·0.10 = 20 N; PE = ½·200·0.10² = 1.0 J.
Springs and suspensions, force sensors and scales, materials testing, and the basis of simple harmonic motion.
Hooke's Law uses the formula F = k·x. Spring force, stiffness, extension and stored elastic energy.
Choose which variable to solve for, enter the values you know (in any supported unit), and the calculator substitutes them into F = k·x and shows every step of the working. It can solve for Spring force, constant, extension, energy.
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