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A-Level MathematicsYear 2022Q5

16 5. Two particles, P and Q, are moving in opposite directions along the same straight line on a smooth horizontal surface when they collide directly. The mass of P is 3m and the mass of Q is 4m. Immediately before the collision the speed of P is 2u and the speed of Q is u. The coefficient of restitution between P and Q is e. (a) Show that the speed of Q immediately after the collision is u e 7 9 2 + ( ) (6) After the collision with P, particle Q collides directly with a fixed vertical wall and rebounds. The wall is perpendicular to the direction of motion of Q. The coefficient of restitution between Q and the wall is 1 2 (b) Find the complete range of possible values of e for which there is a second collision between P and Q. (4) ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:9fm0-3c-que-20220623.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)