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Question 22M.2.SL.TZ2.1b.ii

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Date May 2022 Marks available [Maximum mark: 1] Reference code 22M.2.SL.TZ2.1b.ii
Level SL Paper 2 Time zone TZ2
Command term Show that Question number b.ii Adapted from N/A
b.ii.
[Maximum mark: 1]
22M.2.SL.TZ2.1b.ii

Airboats are used for transport across a river. To move the boat forward, air is propelled from the back of the boat by a fan blade.

An airboat has a fan blade of radius 1.8 m. This fan can propel air with a maximum speed relative to the boat of 20 m s−1. The density of air is 1.2 kg m−3.

In a test the airboat is tied to the river bank with a rope normal to the bank. The fan propels the air at its maximum speed. There is no wind.

(b.ii)

Show that the tension in the rope is about 5 kN.

[1]

Markscheme

«force = Momentum change per sec = Av2ρ = » 244 x 20 OR 4.9 «kN» ✓

 

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