GCSE Linear and non linear force-extension graphs
Linear force-extension graphs
A linear Force extension graph is one that will obey Hooke’s Law.
Hooke’s law states that:
The extension of an elastic object, is directly proportional to the force applied, provided that the limit of proportionality is not exceeded.
An example of a linear force extension graph is shown below:
Non linear Force-extension graph
A non linear force extension graph will not follow Hooke’s law. This means that the graph line will be curved and not straight.
An example of a non linear force extension graph is shown below:
Practice Questions
1.Describe the difference between a force extension graph that is linear, vs one that is non linear.
2.Is the following graph representative of linear or non linear?
3. Would the following data produce a graph that is linear or non linear?
| Mass added to spring (kg) | Force, F(N) | Extension, e (m) |
|---|---|---|
| 0.1 | 1 | 0.05 |
| 0.2 | 2 | 0.10 |
| 0.3 | 3 | 0.15 |
| 0.4 | 4 | 0.20 |
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