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5 marksHarmonic Motion

CAPE Physics Unit 1 · 1999 · Paper 2 · Question 6(d)

Water waves of frequency, f, amplitude, A, and travelling with velocity, v, are transmitted through water of density, ρ. Each molecule of water undergoes simple harmonic motion.

Write down expressions for displacement and velocity of the water molecules with time. Hence, deduce an expression for the power due to the water waves in terms of f, ρ, A and v for a cross section of area 1 m².

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Other parts of this question

  1. 6(a)(i)Describe how the displacements of P and Q vary with time.[5 marks]
  2. 6(a)(ii)Calculate the speed of the waves.[1 mark]
  3. 6(b)Describe an experiment to demonstrate the diffraction of plane water waves in a ripple tank for a narrow gap. Draw a diagram of what you would expect to see…[3 marks]
  4. 6(c)Explain why this occurs.[4 marks]
  5. 6(e)Directly below EACH figure in your answer booklet, draw on the dotted line, the state of the water surface one quarter of a period later.[3 marks]

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