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3 marksHarmonic Motion

CAPE Physics Unit 1 · May/June 2023 · Paper 2 · Question 2(c)(ii)

A light helical spring of spring constant 30 N m^-1 hangs vertically and carries a mass m = 0.3 kg at its lower end.

Calculate the maximum kinetic energy of the mass if it is displaced a further 0.045 m.

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Other parts of this question

  1. 2(a)State the TWO conditions that must be satisfied for the oscillatory motion of an object to be considered simple harmonic.[2 marks]
  2. 2(b)(i)State what the symbols A and ω represent in the equation.[2 marks]
  3. 2(b)(ii)On the grid provided in Figure 3, sketch THREE graphs to show how displacement, y, velocity, v, and acceleration, a, each vary with time, t, for an object…[4 marks]
  4. 2(c)(i)Assuming that Hooke's law is obeyed, calculate the extension produced in the spring.[2 marks]
  5. 2(d)(i)On the grid provided in Figure 5, plot a graph of amplitude of vibration, y, against frequency, f. Draw a smooth curve through the points.[4 marks]
  6. 2(d)(ii)Use your graph to determine the angular frequency of the wooden block when it is oscillating at maximum amplitude.[3 marks]
  7. 2(e)Explain the meaning of the term 'diffraction of light'.[2 marks]
  8. 2(f)(i)Determine the number of rulings per mm on the grating.[5 marks]
  9. 2(f)(ii)Determine the highest order of fringes obtained on EACH side of the normal.[3 marks]

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