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Year 10 - Science

Calculating the energy of springs (E = 1/2 kx²)

Energy of moving objects

Unit Summary

This unit covers energy changes in systems through heating, forces, and electrical work. It includes energy storage, efficiency, and transfer methods like insulation. Emphasis is on calculating energy, conducting experiments, interpreting data, and communicating findings accurately.

Lesson Summary

You will learn to calculate the energy a spring has because it is stretched.

Key Notes

  • Doubling the stiffness of a spring doubles the energy it has because it is stretched.
  • The spring constant is measured in newtons per metre (N/m).
  • Doubling the extension of a spring increases the energy it has, because it is stretched, by four times.
  • The energy a spring has because it is stretched equals 1/2 × spring constant × (extension)².

Vocabulary To Learn

  • elastic store: If an elastic object is stretched, compressed or bent out of shape, there is energy in the elastic store.
  • compress: To make something smaller using forces, e.g. a spring gets shorter when it is compressed.
  • extension: The increase in length from the original length of a spring when it is stretched.
  • spring constant: A measure of how stiff a spring is and how hard it is to stretch or compress.

Common Mistakes To Avoid

  • When calculating energy in the elastic store, pupils often work out (½ times spring constant tmes extension) and then square everything, rather than just the extension.

3 Quick Questions (With Answers)

1. Explain the scientific idea in this lesson using two key points.

Doubling the stiffness of a spring doubles the energy it has because it is stretched. The spring constant is measured in newtons per metre (N/m).

2. Define this scientific word and use it in context. 'elastic store'

If an elastic object is stretched, compressed or bent out of shape, there is energy in the elastic store. Include the word in a full scientific explanation, not as a single label.

3. Correct this common scientific misunderstanding.

Mistake: When calculating energy in the elastic store, pupils often work out (½ times spring constant tmes extension) and then square everything, rather than just the extension. Correction: Scaffold calculations to show how elastic energy is calculated, taking pupils through how to do this on their calculators without making a mistake.

More Lessons In This Unit

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