Direct collisions and restitution: OCR MEI A‑Level Further Maths questions

OCR MEI A-Level Further Maths past-paper questions on 4.1 Direct collisions and restitution, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.

All 17 questions on Direct collisions and restitution, as a list

June 2025, Mechanics Major, Q7 (12 marks): Two uniform smooth spheres, A and B, have the same radius. The mass of A is 4 kg, and the mass of B is 6 kg. The spheres are travelling in the same direction in
June 2025, Mechanics Minor, Q1 (6 marks): Particles A and B move towards each other on a smooth horizontal surface. Particle A has speed - . s 1 s 1 - and particle B has speed m 3 m 8 s 1 After they col
June 2024, Mechanics Major, Q10 (10 marks): A particle P of mass 2 kg is projected vertically upwards from horizontal ground with an initial - . At the same instant a particle Q of mass 8 kg is released f
June 2024, Mechanics Minor, Q4 (15 marks): Fig. 4.1 shows two spheres, A and B, on a smooth horizontal surface. Their masses are 3 kg and 1 kg respectively. Fig. 4.1 A B 3kg 1kg Initially, sphere A trave
June 2024, AS Mechanics A, Q4 (13 marks): Three spheres A, B, and C, of equal radius are in the same straight line on a smooth horizontal surface. The masses of A, B and C are 2 kg, 4 kg and 1 kg respec
June 2023, Mechanics Major, Q2 (4 marks): 6ms–1 2ms–1 0.5 kg 2kg A B Two small uniform smooth spheres A and B have masses 0.5 kg and 2 kg respectively. The two spheres are travelling in the same directi
June 2023, AS Mechanics A, Q4 (10 marks): The diagram shows three beads, A, B and C, of masses 0.3 kg, 0.5 kg and 0.7 kg respectively, threaded onto a smooth wire circuit consisting of two straight and
June 2022, Mechanics Major, Q7 (12 marks): Two small uniform smooth spheres A and B, of masses 2 kg and 3 kg respectively, are moving in opposite directions along the same straight line towards each othe
June 2022, Mechanics Minor, Q5 (17 marks): Point A lies 20 m vertically below a point B. A particle P of mass 4m kg is projected upwards - . At the same time, a particle Q of mass m kg is released from r
November 2021, Mechanics Major, Q11 (16 marks): Two small uniform smooth spheres A and B, of equal radius, have masses 4 kg and 3 kg respectively. The spheres are placed in a smooth horizontal circular groove
November 2021, Mechanics Minor, Q6 (13 marks): A block rests on a horizontal surface. The coefficient of friction between the block and the surface is n. 2 v - , it will move a distance of (a) Show that if t
November 2021, AS Mechanics A, Q3 (12 marks): Three small uniform spheres A, B and C have masses 2 kg, 3 kg and 5 kg respectively. The spheres move in the same straight line on a smooth horizontal table, wi
November 2020, Mechanics Minor, Q6 (17 marks): Stones A and B have masses m kg and 3m kg respectively. They lie at rest on a large area of smooth horizontal ice and may move freely over the ice. Stone A is g
November 2020, AS Mechanics A, Q5 (11 marks): Throughout this question it may be assumed that there are no resistances to motion. Model trucks A and B, with masses 5 kg and 3 kg respectively, rest on a set
June 2019, Mechanics Major, Q6 (7 marks): a O A P Q Fig. 6 The rim of a smooth hemispherical bowl is a circle of centre O and radius a. The bowl is fixed with its rim horizontal and uppermost. A particl
June 2019, Mechanics Minor, Q4 (13 marks): Two model railway trucks, A of mass 0.1 kg and B of mass 0.2 kg, are constrained to move on a smooth straight level track. 1 Initially B is stationary and A is
June 2019, AS Mechanics A, Q6 (11 marks): Three particles, A, B and C are in a straight line on a smooth horizontal surface. The particles have masses 5 kg, 3 kg and 1 kg respectively. Particles B and C

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