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Question 22M.2.SL.TZ1.1c.ii

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Date May 2022 Marks available [Maximum mark: 2] Reference code 22M.2.SL.TZ1.1c.ii
Level SL Paper 2 Time zone TZ1
Command term Calculate, State Question number c.ii Adapted from N/A
c.ii.
[Maximum mark: 2]
22M.2.SL.TZ1.1c.ii

A student uses a load to pull a box up a ramp inclined at 30°. A string of constant length and negligible mass connects the box to the load that falls vertically. The string passes over a pulley that runs on a frictionless axle. Friction acts between the base of the box and the ramp. Air resistance is negligible.

The load has a mass of 3.5 kg and is initially 0.95 m above the floor. The mass of the box is 1.5 kg.

The load is released and accelerates downwards.

(c.ii)

The radius of the pulley is 2.5 cm. Calculate the angular speed of rotation of the pulley as the load hits the floor. State your answer to an appropriate number of significant figures.

[2]

Markscheme

use of ω=vr to give 84 «rad s−1»

OR

ω=2.1/0.025 to give 84 «rad s−1» ✓

 

quoted to 2sf only✓

 

Examiners report

This SL only question was generally well done. Despite some power of 10 errors, many candidates correctly reported final answer to 2 sf.