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A-Level MathematicsYear 2021Q2

6 2. Two particles, A and B, are moving in opposite directions along the same straight line on a smooth horizontal surface when they collide directly. Particle A has mass 5m and particle B has mass 3m. The coefficient of restitution between A and B is e, where e > 0 Immediately after the collision the speed of A is v and the speed of B is 2v. Given that A and B are moving in the same direction after the collision, (a) find the set of possible values of e. (8) Given also that the kinetic energy of A immediately after the collision is 16% of the kinetic energy of A immediately before the collision, (b) find (i) the value of e, (ii) the magnitude of the impulse received by A in the collision, giving your answer in terms of m and v. (6) ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:9FM0_3C_que_20211019.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)

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