GCSE Physics equations practice
Select a relationship from the equation sheet, rearrange it and calculate with the right units.
Hooke’s law and spring calculations
Use force and extension, find spring constants and elastic energy, and interpret force–extension data.
Practise
Force–extension gradientA straight force–extension line passes through (extension 0.01 m, force 0.8 N) and (0.09 m, 7.2 N). Force is on the vertical axis. The spring obeys Hooke’s law over this range. Calculate its gradient, which is the spring constant. Give your answer to 3 significant figures.
Treat the given values as exact unless an uncertainty is stated.
Hint
Gradient = change in force / change in extension.
Worked solution
- k = (7.2 − 0.8) / (0.09 − 0.01) N m⁻¹.
- Answer: 80.0 N m⁻¹ (3 significant figures).
Question type: Force–extension gradient
Report a problem
Foundation and Higher: this set covers content common to both tiers. Some calculations need several steps.
Force and extension
Extension is the change from unloaded length, measured in metres for F = kx. The force–extension gradient is k when force is vertical and extension horizontal. E = ½kx² applies over the Hooke’s-law range. The limit of proportionality and elastic limit are different: a curved relationship does not by itself prove permanent deformation.
Work through the practical method and sample results
GCSE scope
AQA 8463: 4.5.3; required practical 6 (selected); OCR Gateway J249: P2.3b–e; PM2.3i–iii; PAG P2 (selected). Tasks cover the selected skills listed above.