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CAIE A-Level Physics 6.1.3 Hooke's Law

Practise stating Hooke’s law, identifying its limit of proportionality from force–extension data and calculating valid force or extension.

Syllabus
2028–2030
Course
Physics 9702
Level
AS

Exam points

  • state Hooke’s law, including that proportionality applies only up to the limit of proportionality
  • use a force–extension graph or F/x values to decide whether a spring or wire obeys Hooke’s law
  • apply Hooke’s law to calculate or compare force, extension and behaviour of springs or wires within the valid range

6.1.3—Hooke’s law question 1

[Maximum number: 1]

One end of a wire is attached to a fixed point. A force F is applied to the wire to cause extension x. The variation with F of x is shown in Fig. 5.1.

Fig. 5.1

Fig. 5.1

The wire has a cross-sectional area of 4.1×10−7 m24.1 \times 10^{-7} \mathrm{~m}^{2} and is made of metal of Young modulus 1.7×1011 Pa1.7 \times 10^{11} \mathrm{~Pa}. Assume that the cross-sectional area of the wire remains constant as the wire extends.

State the name of the law that describes the relationship between F and x shown in Fig. 5.1.

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