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Physics (AS & A Level) · Feb / March 2016 · Paper 42 · Question 4

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An object of mass 80 g oscillates with simple harmonic motion. The variation with time t of the displacement x of the object is shown in Fig. 4.1. 0 0 2.0 1.0 –2.0 –1.0 0 0.1 0.2 0.3 0.4 0.5 t / s x / cm Fig. 4.1

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  • 4(a)[1]

    amplitude = 1.8 cm and period = 0.30 s [1]

  • 4(b)[3]

    EK = ½m ω 2 (x0 2 – x2) or EK = ½mv2 and v = ± ω √(x0 2 – x2) = ½ × 0.080 × (2π / 0.30) 2 × [(1.8 × 10–2) 2 – (1.2 × 10–2) 2] = 3.2 × 10–3 J [3]

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