DP Physics (last assessment 2024)

Question 22M.2.HL.TZ2.a.iii

Date	May 2022	Marks available	[Maximum mark: 2]	Reference code	22M.2.HL.TZ2.a.iii
Level	HL	Paper	2	Time zone	TZ2
Command term	Determine	Question number	a.iii	Adapted from	N/A

a.iii.

[Maximum mark: 2]

22M.2.HL.TZ2.a.iii

An experiment to investigate simple harmonic motion consists of a mass oscillating at the end of a vertical spring.

The mass oscillates vertically above a motion sensor that measures the speed of the mass. Test 1 is carried out with a 1.0 kg mass and spring of spring constant $k_{1}$ . Test 2 is a repeat of the experiment with a 4.0 kg mass and spring of spring constant $k_{2}$ .

The variation with time of the vertical speed of the masses, for one cycle of the oscillation, is shown for each test.

Determine the amplitude of oscillation for test 1.

[2]

Markscheme

v_max = 4.8 «m s⁻¹» ✓

$x_{0} =$ « $\frac{v}{ω} = \frac{v T}{2 π} = \frac{4.8 \times 0.80}{2 π}$ » = 0.61 «m» ✓

Allow a range of 4.7 to 4.9 for MP1

Allow a range of 0.58 to 0.62 for MP2

Allow ECF from (a)(i)

Allow ECF from MP1.

Syllabus sections

Additional higher level (AHL)

Additional higher level (AHL) » Topic 9: Wave phenomena » 9.1 – Simple harmonic motion

Additional higher level (AHL) » Topic 9: Wave phenomena

Question 22M.2.HL.TZ2.a.iii

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