Which law relates the stretching of a spring to the force applied to it?

The relationship between the stretching of a spring and the force applied to it is described by Hooke's law. According to this law, the extension of a spring is directly proportional to the force applied to it, provided that the limit of proportionality is not exceeded. Mathematically, this can be expressed as ( F = kx ), where ( F ) is the force applied, ( k ) is the spring constant, and ( x ) is the extension of the spring. This principle is fundamental in understanding how elastic materials behave under stress and is widely applicable in various fields of physics and engineering.

The other laws mentioned are not related to the stretching of springs. Newton's first law deals with the motion of objects and the concept of inertia, while Archimedes' principle pertains to buoyancy and the upward force experienced by objects submerged in fluids. Bernoulli's principle describes the behavior of fluid flow and the relationship between pressure and velocity in fluid dynamics.