Force and extension
GCSE Physics (8463) · Required practical 6 — method, variables, the marks examiners report students losing.
Investigate the relationship between the force applied to a spring and its extension, and find the spring constant (F = k x e).
Apparatus
- Spring, and a clamp stand with boss and clamp
- Metre ruler fixed vertically, with a pointer on the spring
- Slotted masses and a mass hanger (each 100 g weighs about 1 N)
- Set square to read the ruler squarely
- Safety goggles and a counterweight or G-clamp so the stand cannot topple
Method
- 1Clamp the spring at the top and record its unstretched length using the pointer against the ruler.
- 2Hang a 1 N weight on the spring and record the new length; extension = new length − original length.
- 3Add weights in equal steps, recording the length each time, and work out the extension for each force.
- 4Take the weights off and check the spring returns to its original length (that it is still elastic).
- 5Plot a graph of force (y-axis) against extension (x-axis).
Variables
Independent
Force applied to the spring (weight added)
Dependent
Extension of the spring
Control
- The same spring throughout
- The same starting point and measuring method
- Temperature
Results & processing
- Extension = stretched length − natural length; plot force against extension.
- The graph is a straight line through the origin while the spring obeys Hooke's law; the gradient is the spring constant k. Beyond the limit of proportionality the line curves.
Where students lose marks
Plotting length instead of extension.
Fix: Extension = stretched length − natural (unstretched) length; subtract the starting length before plotting.
Reading the ruler at an angle (parallax).
Fix: Use a pointer and a set square, and read the ruler with your eye level with the pointer.
Adding too much weight.
Fix: Going past the limit of proportionality permanently stretches the spring, so it will not return to its original length; keep the loads sensible.
Improve the method
- Use a pointer and set square to read the ruler accurately.
- Add small, equal increments of force and check the spring returns to its original length each time.
- Repeat the readings and take a mean extension for each force.
Try it — exam-style
A spring extends by 0.04 m when a force of 2.0 N is applied. Calculate the spring constant.
On a force-extension graph, what does the point where the straight line starts to curve represent?
Questions are written in the style of past AQA papers — never copied from them.
Drill it properly
Stuck on force and extension?
Hooke's-law questions hinge on extension vs length and reading a graph gradient — I drill both, and your first lesson is free.