Energy
Elastic Potential Energy
To explain how stretching a spring stores energy and calculate elastic potential energy.

What you will learn

How stretching or compressing stores elastic energy

What spring constant and extension mean

How to calculate elastic potential energy

Why doubling extension has a larger effect on energy

When the elastic energy equation can be used
Explanation
Stretching or compressing a spring increases its elastic potential energy. Within the limit of proportionality, Eₑ = ½ke² where e is extension in metres. Doubling extension at fixed spring constant makes the stored energy four times larger. Example: Extension triples for the same spring within its proportional range. Predict the stored energy change. Energy is proportional to extension squared, so it becomes 3² = 9 times larger. Use clear labels. Check your reasoning. Distinguish the quantities.
