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CAIE A-Level Further Math A2 3.4.1 Hookes Law Questions

Practise applying Hooke's law to spring forces, extensions and initial accelerations with Further Mathematics Paper 2 questions and mark schemes.

Syllabus
2028–2030
Course
Further Mathematics 9231
Level
A2

Exam points

  • Apply de Moivre's theorem to powers and roots of complex numbers.

CAIE A-Level Further Math A2 3.4.1 Hookes Law Questions question 1

[Maximum number: 2]

One end of a light elastic string, of natural length a and modulus of elasticity 3 m g, is attached to a fixed point O. The other end of the string is attached to a particle P of mass m. The string hangs with P vertically below O. The particle P is pulled vertically downwards so that the extension of the string is 2 a. The particle P is then released from rest.

Find the initial acceleration of P when it is released from rest.

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