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Question 18M.3.HL.TZ1.11

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Date May 2018 Marks available [Maximum mark: 4] Reference code 18M.3.HL.TZ1.11
Level HL Paper 3 Time zone TZ1
Command term Calculate, Describe, Determine Question number 11 Adapted from N/A
11.
[Maximum mark: 4]
18M.3.HL.TZ1.11

The graph below represents the variation with time t of the horizontal displacement x of a mass attached to a vertical spring.

M18/4/PHYSI/HP3/ENG/TZ1/11

(a)

Describe the motion of the spring-mass system.

[1]

Markscheme

damped oscillation / OWTTE

[1 mark]

The total mass for the oscillating system is 30 kg. For this system

(b.i)

determine the initial energy.

[1]

Markscheme

E «= 1 2  × 30 × π2 × 0.82» = 95 «J»

 

Allow initial amplitude between 0.77 to 0.80, giving range between: 88 to 95 J.

[1 mark]

(b.ii)

calculate the Q at the start of the motion.

[2]

Markscheme

ΔE = 95 –  1 2  × 30 × π2 × 0.722 = 18 «J»

Q = « 2π 95 18 =» 33

 

Accept values between 0.70 and 0.73, giving a range of ΔE between 22 and 9, giving Q between 27 and 61.

Watch for ECF from (b)(i).

[2 marks]

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