Hooke’s Law Calculator (Spring Force)
Hooke’s law calculator: spring force, spring constant or extension from F = kx, plus the elastic potential energy stored.
F = k · x
How to use this calculator
- Choose the quantity you want under “Solve for”.
- Type the known values and pick their units: any combination works.
- The result updates as you type. Open “Show the steps” to see the substitution.
Within the elastic limit the force is proportional to the extension. The stored energy is ½kx².
Formula
F = k · x
| Symbol | Quantity | Units |
|---|---|---|
| k | Spring constant, N/m | — |
| x | Extension or compression | m, km, cm, mm, µm, nm, pm, Å, in, ft, yd, mi, nmi, au, ly |
| F | Force | N, kN, mN, dyn, lbf, kgf |
Worked example
Given: k = 200 · x = 5 cm
F = k x
Result: F = 10 N
Force for different values of Spring constant, N/m
| k · Spring constant, N/m | F · Force |
|---|---|
| 100 | 5 N |
| 150 | 7.5 N |
| 180 | 9 N |
| 200 | 10 N |
| 220 | 11 N |
| 250 | 12.5 N |
| 300 | 15 N |
| 400 | 20 N |
Other values as in the worked example.
Frequently asked questions
A 200 N/m spring stretched 5 cm?
F = 10 N; it stores 0.25 J.
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