Force in a 30,000 N/m car spring compressed 5 cm

Answer: spring force = 1,500 N (elastic potential energy 37.5 J).

What we know

  • Spring constant: 30000 N/m
  • Extension / compression: 5 cm = 0.05 m (converted to the unit the formula takes)

Step by step

Given
k = 30000 N/m, x = 0.05 m
Formula
F = k × x
Substitute
F = 30000 × 0.05
Result
F = 1,500 N

All results

Spring force1,500 N
Elastic potential energy37.5 J

Open the hooke's law calculator with these numbers → and change any of them.

The physics

Hooke's law is the simplest rule in elasticity: the force a spring pushes back with is proportional to how far you stretch or squash it. Double the stretch and you double the force. The constant of proportionality, k, is the spring's stiffness — a stiff spring has a large k, a floppy one a small k.