Hooke's Law describes the relationship between

Hooke's Law describes the relationship between the force applied to a spring and the displacement or extension of the spring.

Here are the steps to understand it:

1. Hooke's Law states that the force needed to extend or compress a spring by some distance is proportional to that distance.

2. This can be mathematically represented as F = kx, where:

   • F is the force applied,
   • k is the spring constant (a measure of the stiffness of the spring), and
   • x is the displacement of the spring (how much it is stretched or compressed from its original length).

3. The direction of the force is always towards the equilibrium position (the position the spring naturally wants to be in, usually its original length).

4. If the spring is stretched, the force is negative (as it acts to compress the spring back to its original length), and if the spring is compressed, the force is positive (as it acts to extend the spring back to its original length).

5. The units of the spring constant k are force/distance (in the metric system, this is usually Newtons per meter, N/m).

6. Hooke's Law is only valid as long as the spring is not stretched or compressed beyond its elastic limit (the point at which the spring becomes permanently deformed and does not return to its original length).