Calculating the energy of a spring (Ee = 1/2 ke²)
I can calculate the energy a spring has because it is stretched.
- Year 10•
- AQA
Calculating the energy of a spring (Ee = 1/2 ke²)
I can calculate the energy a spring has because it is stretched.
Lesson details
Key learning 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).
- 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.
Keywords
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 misconception
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.
Scaffold calculations to show how elastic energy is calculated, taking pupils through how to do this on their calculators without making a mistake.
Equipment
Mini-whiteboards.
Licence
Prior knowledge starter quiz
6 Questions
Q1.Which of the following can be used to describe work done?
Q2.A pupil stretches a spring. Which of the following statements is correct?
Q3.Which of the following can be used to describe the spring constant of a spring?
Q4.Which of the following is the unit of energy?
Q5.Two springs, A and B, are equal in length. Identical masses are hung from the springs which do not stretch beyond their limits of proportionality.
Which of the following statements are correct?
