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Question 18M.3.SL.TZ1.d.ii

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Date May 2018 Marks available [Maximum mark: 2] Reference code 18M.3.SL.TZ1.d.ii
Level SL Paper 3 Time zone TZ1
Command term Calculate Question number d.ii Adapted from N/A
d.ii.
[Maximum mark: 2]
18M.3.SL.TZ1.d.ii

A constant force of 50.0 N is applied tangentially to the outer edge of a merry-go-round. The following diagram shows the view from above.

M18/4/PHYSI/SP3/ENG/TZ1/06

The merry-go-round has a moment of inertia of 450 kg m2 about a vertical axis. The merry-go-round has a diameter of 4.00 m.

A child of mass 30.0 kg is now placed onto the edge of the merry-go-round. No external torque acts on the system.

The child now moves towards the centre.

Calculate the work done by the child in moving from the edge to the centre.

[2]

Markscheme

ωt = 1.66 from bi AND W = ΔEk

W = 1 2  × 450 × 1.662 – 1 2  × 570 × 1.312 = 131 «J»

 

ECF from 8bi

Accept BCA, value depends on the answers in previous questions.

[2 marks]