Hooke’s Law states that the force ($F$) exerted by a spring is directly proportional to the displacement ($x$) from its equilibrium positionHooke’s Law states that the force required to stretch or compress an elastic object is directly proportional to the amount of deformation. It describes the linear relationship between force and displacement within the elastic limit of a material. Named after Robert Hooke, it’s a fundamental principle used in physics and engineering for analyzing elastic behavior. Mathematically, it can be expressed as:

Where:

• $F$ is the force applied to the spring (in newtons, N),
• $k$ is the spring constant or stiffness of the spring (in newtons per meter, N/m),
• $x$ is the displacement from the equilibrium position (in meters, m).