Yes, Hooke's Law can help us understand how a weight moves on a spring!

Hooke's Law says that a spring pushes or pulls back with a force that matches how far you stretch or squeeze it. This can be shown with the formula:

F = -kx

In this formula:

• F is the force the spring exerts.
• k is a number that tells us how strong the spring is (called the spring constant).
• x is how much the spring is stretched or compressed from where it normally sits (the equilibrium position).

How It Works in Simple Harmonic Motion (SHM):

1. Restoring Force: The minus sign in the formula tells us that the force pushes back against the direction you pulled or pushed the spring. This force works to bring the weight back to its resting place.

2. Motion Prediction: By using another formula, F = ma (which relates force to mass and acceleration), we can see how the force affects how fast the weight moves.

An Example:

Think about pulling a spring down and then letting it go.

When you let go, the spring will bounce up and down repeatedly.

This back-and-forth motion happens because of the restoring force that Hooke's Law talks about.

So, we can see beautiful Simple Harmonic Motion (SHM) in action!