```
F = -kx
```
Where:
- F represents the force applied to the spring, measured in Newtons (N)
- k is the spring constant, a measure of the stiffness of the spring, measured in Newtons per meter (N/m)
- x represents the displacement of the spring from its equilibrium position, measured in meters (m)
The negative sign in front of "kx" indicates that the force exerted by the spring opposes the displacement, meaning that if you pull the spring to the right (positive displacement), it will pull you back to the left with the same amount of force.
In Hooke's Law, the spring constant "k" determines how much force is required to stretch or compress the spring. A higher spring constant indicates a stiffer spring that resists deformation more than a lower spring constant spring.
Hooke's Law is applicable to ideal springs within their elastic limit. When a spring is stretched or compressed beyond its elastic limit, it will no longer obey Hooke's Law and may deform or break.
This fundamental principle is named after the English scientist Robert Hooke, who first described it in the 17th century. Hooke's Law finds extensive use in various fields, including physics, engineering, and materials science, to analyze phenomena involving springs, elastic materials, and vibrations.
