```
F = -kx
```
Where:
* F is the force required to extend or compress the spring (in Newtons)
* k is the spring constant (in Newtons per meter)
* x is the displacement of the spring from its equilibrium position (in meters)
The negative sign in the equation indicates that the force exerted by the spring is always opposite in direction to the displacement. This means that if you pull on a spring, the spring will exert a force that pushes back against you.
The spring constant, *k*, is a measure of the stiffness of the spring. A stiffer spring has a higher spring constant, while a weaker spring has a lower spring constant.
Hooke's Law can be used to calculate the force required to extend or compress a spring, or to calculate the displacement of a spring when a force is applied.
Here are some examples of how Hooke's Law can be applied:
* A spring with a spring constant of 10 N/m is stretched 2 meters. The force required to stretch the spring is 20 N.
* A spring with a spring constant of 50 N/m is compressed 1 meter. The force required to compress the spring is 50 N.
* A spring with a spring constant of 200 N/m is stretched 0.5 meters. The displacement of the spring is 0.1 meters.
Hooke's Law is a fundamental principle of physics that has many applications in engineering, mechanics, and other fields.
