A-LevelPhysicsOscillations9702/42 · Feb/Mar 2020 · Q310 Marks

(a) A body undergoes simple harmonic motion. The variation with displacement x of its velocity v is shown in Fig. 3.1. [Figure 3.1]

(a)(i)State the amplitude x₀ of the oscillations. x₀ = ............................................................................ m [1][1]
(a)(ii)Calculate the period T of the oscillations. T = ................................................................................ s [3][3]
(a)(iii)On Fig. 3.1, label with a P a point where the body has maximum potential energy. [1][1]
(b)(i)State Faraday's law of electromagnetic induction.[2]
(b)(ii)The switch is now closed. Explain why the oscillations of the magnet are damped.[3]

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Mark scheme

Marking points from the official mark scheme (Feb/Mar 2020). The mark or mark type is shown in brackets.

[1] 0.050 m
[1] ω = V₀ / X₀
[1] T = 2π / ω
[1] T = 0.75 s
[1] one point labelled P where ellipse crosses displacement axis marked
[1] (induced) e.m.f. proportional to rate
[1] of change of (magnetic) flux (linkage)
[1] (there is) current in the circuit
[1] current causes thermal energy (dissipated) in resistor / thermal energy comes from energy of magnet
[1] current causes magnetic field around coil / two fields cause an opposing force on magnet

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