Hooke’s Law explains how a spring stretches or compresses when you apply a force. It says:

The more force you apply to a spring, the more it stretches—but only up to a limit.

Formula for Hooke’s Law:

F=k x

Where:

• F (Force, in Newtons) → The force applied to the spring.

• k (Spring constant, in N/m) → A measure of how stiff the spring is. Higher k means a tougher spring.

• x (Extension, in meters) → How much the spring stretches or compresses.

Rearranging the Formula:

You wrote k=F/x, which is just another way to write Hooke’s Law when solving for k.

This means:

Spring constant=Force applied Stretch or compression\text{Spring constant} = \frac{\text{Force applied}}{\text{Stretch or compression}}Spring constant=Stretch or compression Force applied​

Example:

If you apply 10 Newtons of force to a spring and it stretches 0.2 meters, the spring constant is:

50N/m

This tells us the spring is pretty stiff!

Key Things to Remember:

1. Hooke’s Law works only within the elastic limit—if you stretch too much, the spring won’t return to its original shape.

2. Higher k means a stiffer spring (harder to stretch).

3. If no force is applied, the spring stays at its normal length.