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A-Level MathematicsYear 2023Q1

2   1. Two particles, P and Q, of masses 3m and 2m respectively, are moving on a smooth horizontal plane. They are moving in opposite directions along the same straight line when they collide directly. Immediately before the collision, P is moving with speed 2u. The magnitude of the impulse exerted on P by Q in the collision is 9 2 mu (a) Find the speed of P immediately after the collision. (3) The coefficient of restitution between P and Q is e. Given that the speed of Q immediately before the collision is u, (b) find the value of e. (5) ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Turn over 3   Question 1 continued _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________ (Total for Question 1 is 8 marks)

Paper Source:EASMF3118fm0-25-que-20230520.pdf

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Exam Specification Info

This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.

Syllabus levelAdvanced Level (A-Level)

SubjectMathematics

Official MarksVariable (2–6 marks)