DP Physics (last assessment 2024)

Question 22M.2.HL.TZ2.6a.iii

Date	May 2022	Marks available	[Maximum mark: 2]	Reference code	22M.2.HL.TZ2.6a.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.TZ2.6a.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.

(a.iii)

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» ✓