DP Physics (last assessment 2024)

Question 22M.2.HL.TZ1.6b

Date	May 2022	Marks available	[Maximum mark: 4]	Reference code	22M.2.HL.TZ1.6b
Level	HL	Paper	2	Time zone	TZ1
Command term	Determine	Question number	b	Adapted from	N/A

[Maximum mark: 4]

22M.2.HL.TZ1.6b

A mass–spring system oscillates horizontally on a frictionless surface. The mass has an acceleration $a$ when its displacement from its equilibrium position is $x$ .

The variation of $a$ with $x$ is modelled in two different ways, A and B, by the graphs shown.

(b)

Determine the time period of the system when $a$ is small.

[4]

Markscheme

attempted use of $ω^{2} = (-) \frac{a}{x}$ ✓

suitable read-offs leading to gradient of line = 28 « s^-2» ✓

$T = \frac{2 π}{ω}$ « $\frac{2 π}{\sqrt{28}}$ » ✓

$T = 1.2$ s ✓

Examiners report

This question was well done by many candidates. A common mistake was to select an incorrect gradient, but candidates who showed their work clearly still earned the majority of the marks.

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.TZ1.6b

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