Pearson Edexcel GCE In A level Further Mathematics Paper 9FM0/3C QP & MS JUNE 2024

Pearson Edexcel GCE In A level Further Mathematics Paper 9FM0/3C QP
& MS JUNE 2024

, Number Number




Further Mathematics
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Advanced
PAPER 3C: Further Mechanics 1




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P75322A
©2024 Pearson Education Ltd.
F:1/1/

,1. [In this question, i and j are horizontal perpendicular unit vectors.]
A particle A has mass 3 kg and a particle B has mass 2 kg.




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The particles are moving on a smooth horizontal plane when they collide directly.

Immediately before the collision, the velocity of A is (3i – j) m s–1 and the velocity of
B is (–6i + 2j) m s–1
 2 
Immediately after the collision the velocity of A is −2i + j m s–1
 
 3 

(a) Find the total kinetic energy of the two particles before the collision.
(3)
(b) Find, in terms of i and j, the impulse exerted on A by B in the collision.
(3)

(c) Find, in terms of i and j, the velocity of B immediately after the collision.
(3)




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, Question 1 continued
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(Total for Question 1 is 9 marks)

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