Hooke's law: past paper questions

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• Question 6May/June 2026, paper 31Structured6 marks

  A light elastic string has natural length $2.5\text{ m}$ and modulus of elasticity $15\text{ N}$. One end of the string is attached to the fixed point $O$, and the other end is attached to a particle $P$ of mass $1.5\text{ kg}$.

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• Question 3Oct/Nov 2024, paper 31Structured8 marks

  A particle $P$ of mass $m\mathrm{k}\mathrm{g}$ is attached to one end of a light elastic string of natural length $2\mathrm{m}$ and modulus of elasticity $2mg\mathrm{N}$. The other end of the string is attached to a fixed point $O$.

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• Question 1Oct/Nov 2024, paper 32Structured3 marks

  A particle of mass $2\text{ kg}$ is attached to one end of a light elastic string of natural length $0.8\text{ m}$ and modulus of elasticity $100\text{ N}$. The other end of the string is attached to a fixed point $O$ on a smooth horizontal surface.

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• Question 6May/June 2026, paper 33Structured11 marks

  A smooth plane is inclined at an angle $\theta$ to the horizontal, where $\sin \theta =\frac{4}{5}$. One end of a light elastic spring, with natural length $10a$ and modulus of elasticity $1.6mg$, is attached to a fixed point $O$ on the plane.

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• Question 3May/June 2025, paper 31Structured7 marksHas a diagram

  A rough horizontal disc, centre $O$, rotates with constant angular speed $\omega \text{ rad}{\text{s}}^{-1}$.

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• Question 5May/June 2023, paper 31Structured7 marks

  A light elastic string of natural length $a$ and modulus of elasticity $\lambda mg$ has one end attached to a fixed point $O$ on a smooth horizontal surface.

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• Question 5May/June 2025, paper 31Structured6 marks

  One end of a light elastic string of natural length $0.5\text{ m}$ and modulus of elasticity $14\text{ N}$ is attached to a fixed point $A$ on a smooth plane. The plane makes an angle $\alpha$ to the horizontal, where $\tan \alpha =\frac{7}{24}$.

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• Question 2May/June 2023, paper 33Structured4 marks

  One end of a light elastic string, of natural length $a$ and modulus of elasticity $\lambda mg$, is attached to a fixed point $O$. The string lies on a smooth horizontal surface. A particle $P$ of mass $m$ is attached to the other end of the string.

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• Question 2May/June 2025, paper 33Structured8 marks

  A particle $P$ of mass $m$ is attached to one end of a light elastic string of natural length $a$ and modulus of elasticity $mg$. The other end of the string is attached to a fixed point $O$ on a rough plane inclined at an angle of ${30}^{\circ }$ to the horizontal.

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• Question 4May/June 2024, paper 33Structured7 marksHas a diagram

  A light spring of natural length $a$ and modulus of elasticity $kmg$ is attached to a fixed point $O$ on a smooth plane inclined to the horizontal at an angle $\theta$, where $\sin \theta =\frac{3}{4}$.

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