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Learn/ A Level Mathematics/ Past Papers/ 2020/ Oct/Nov 2020 /Paper 4 (Variant 1)

Mechanics — Variant 1

A Level Mathematics · 9709/41 · Oct/Nov 2020

Question Paper

PDF · 113 KB · 12 pages

Mark Scheme

PDF · 272 KB · 13 pages

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Questions

2 of 7 questions shown here, checked against the paper. The others are in the PDF above — they contain diagrams or maths we could not yet verify, and we would rather show you the original than a transcription we are not sure of.

1
A particle BB of mass 55 kg is at rest on a smooth horizontal table. A particle AA of mass 2.52.5 kg moves on the table with a speed of 6 m s−16 \text{ m s}^{-1} and collides directly with BB. In the collision the two particles coalesce.
1(a) [2]
Find the speed of the combined particle after the collision.
1(b) [3]
Find the loss of kinetic energy of the system due to the collision.
2
A car of mass 14001400 kg is moving along a straight horizontal road against a resistance of magnitude 350350 N.
2(a) [2]
Find, in kW, the rate at which the engine of the car is working when it is travelling at a constant speed of 20 m s−120 \text{ m s}^{-1}.
2(b) [3]
Find the acceleration of the car when its speed is 20 m s−120 \text{ m s}^{-1} and the engine is working at 1515 kW.

Published by Cambridge Assessment International Education. Reproduced for study use.