Add loads to a spring or wire, measure extension from the unloaded length and plot force against extension. Increase the load carefully, remove loads for repeats where appropriate and identify the straight-line region.
Add loads to a spring or wire, measure extension from the unloaded length and plot force against extension. Increase the load carefully, remove loads for repeats where appropriate and identify the straight-line region.
By the end, you should be able to…
Explain find the limit of proportionality using precise physics language.
Apply the relevant equations, diagrams or practical method to an exam-style situation.
Use the mini quizzes and practice answers to identify and correct a misconception.
Core learning content
Learn the idea before you practise it
Start with this short teaching sequence for Force and Extension Required Practical. Read the model, use the visual, then test your recall before moving into examples and exam practice.
01
Find the limit of proportionality
Add loads to a spring or wire, measure extension from the unloaded length and plot force against extension. Increase the load carefully, remove loads for repeats where appropriate and identify the straight-line region.
02
Build the picture
Measure the unloaded length first, then subtract it from every loaded length to find extension. Add masses carefully and wait for oscillations to stop. A force-extension graph shows the proportional region; the first clear departure from a straight line is the limit of proportionality.
03
Use the right relationship
Choose a relationship because of the physical change in the question, not because it is familiar. Weight: W = mg (N, kg, N/kg). Newton’s second law: F = ma (N, kg, m/s²). Momentum: p = mv (kg m/s). Keep the unit next to each value while you substitute.
04
What a strong answer does
Explain zero reading, eye-level measurement, control of the apparatus and how the graph identifies the limit of proportionality. Before writing, underline the command word and identify the information that matters. Keep a calculation as equation, substitution and answer with unit; keep an explanation as a linked chain using because, so or therefore. Finish by checking that the final sentence answers the exact context in the question and that the number, direction or conclusion agrees with the evidence given.
Read the diagram: identify the quantities, directions or stages before you write an answer.
WeightW = mgN, kg, N/kgNewton’s second lawF = maN, kg, m/s²Momentump = mvkg m/sMomentmoment = force × perpendicular distanceN mSpring energyEₑ = ½ke²J, N/m, m
Retrieval practice
Quick checks
Answer without looking back first. The feedback explains the model, so a wrong answer still helps you learn.
Mini quiz 1
Check the core idea
Mini quiz 2
Apply the model
Mini quiz 3
Use exam precision
Try it
Force practical planner
How can repeats and a graph reveal the limit of proportionality?
What to notice: the readout and written explanation remain available if you do not use the controls.
Worked examples
See the method being built
Cover the answer, attempt the method and then compare your physics language as well as the number.
Example 1 · Process readings
Unloaded length is 120 mm; loaded length is 168 mm. Find extension.
Subtract unloaded length.
168 − 120.
State mm.
Show the answer
Extension = 48 mm.
Example 2 · Find force
A 0.30 kg mass is added. Take g = 9.8 N/kg. Find force.
Use F = mg.
0.30 × 9.8.
Give N.
Show the answer
Force = 2.94 N.
Example 3 · Graph conclusion
A graph is straight to 4 N then curves. State conclusion.
Identify straight region.
Identify first curve.
Name limit.
Show the answer
Extension is proportional to force up to about 4 N, the limit of proportionality.
Misconception clinic
Common wrong turns
Each of these is tempting because it sounds almost right. Replace it with the precise physics before you meet it in a question.
Plotting total length rather than extension.
Adding masses without converting to force.
Calling any curve the elastic limit.
Independent practice
Exam-style questions
Use the working space first. Reveal the guidance only after you have committed to an answer, then improve the exact part that would gain the next mark.
1. State the independent variable in the force-extension practical.
[1 mark]
Show answer and marking guidance
Force/load applied.
2. State the dependent variable.
[1 mark]
Show answer and marking guidance
Extension of the spring/wire.
3. Explain why unloaded length is measured first.
[3 marks]
Show answer and marking guidance
Extension is the change from original length, not total loaded length.
4. Give one control/quality step.
[1 mark]
Show answer and marking guidance
Keep the same spring, wait for oscillations to stop and read scale at eye level.
5. Explain why loads are added gradually.
[3 marks]
Show answer and marking guidance
To avoid damaging the spring and to obtain stable readings.
6. Give one improvement for uncertain ruler readings.
[1 mark]
Show answer and marking guidance
Use a pointer/set square or a scale with finer divisions and repeat readings.
Questions pupils ask
GCSE Physics FAQs
What is the key idea in Force and Extension Required Practical?
Forces questions often hide a simple model inside a diagram. Draw the forces, find the resultant, then connect the resultant to the motion or deformation.
How should I practise Force and Extension Required Practical?
Read the snapshot, attempt the worked examples without looking, complete the mini quizzes and then use the practice questions to check your wording and method.
Next step
Keep your revision moving
Physics sticks when you move between explanation, retrieval and application.