DP Physics (last assessment 2024)
Question 18M.3.SL.TZ1.6d.ii
| Date | May 2018 | Marks available | [Maximum mark: 2] | Reference code | 18M.3.SL.TZ1.6d.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.TZ1.6d.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.
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.
(d.ii)
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 = × 450 × 1.662 – × 570 × 1.312 = 131 «J»
ECF from 8bi
Accept BCA, value depends on the answers in previous questions.
[2 marks]
