plumiCollisions: OCR MEI A‑Level Further Maths questions
Every OCR MEI A-Level Further Maths exam question on FM.4 Collisions, 2018–2025, with its mark scheme and examiner’s report.
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All 36 questions on Collisions, 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 Major, Q11 (8 marks): R Q S PLAN VIEW j B i W P T A student is playing snooker. The snooker table, PQST, is rectangular and the unit vectors, i and j, are parallel to PT and PQ respe
- 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 2025, AS Mechanics A, Q4 (9 marks): Two small trucks, A and B, are at rest on a smooth horizontal track. The mass of A is 2 kg, and the mass of B is 3 kg. At one end of the track there is a fixed
- June 2025, AS Mechanics A, Q6 (11 marks): Throughout this question you should assume that there is no air resistance. - . A particle is projected vertically upwards with speed u m s 1 (a) Show that the
- 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 Major, Q12 (15 marks): Two small uniform discs A and B, of equal radius, have masses 3 kg and 5 kg respectively. The discs are sliding on a smooth horizontal surface and collide obliq
- 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, Mechanics Major, Q9 (12 marks): In this question take g = 10. 1 A small ball P is projected with speed 20 m s - at an angle of elevation of ( ) from a point O a + i 5 at the bottom of a smooth
- June 2023, Mechanics Major, Q12 (13 marks): Two small uniform smooth spheres A and B are of equal radius and have masses m and mm respectively. The spheres are on a smooth horizontal surface. Sphere A is
- June 2023, Mechanics Minor, Q3 (11 marks): The diagram shows two blocks P and Q of masses 0.5 kg and 2 kg respectively, on a horizontal surface. The points A, B and C lie on the surface in a straight lin
- June 2023, AS Mechanics A, Q2 (10 marks): A ball P of mass m kg is held at a height of 12.8 m above a horizontal floor. P is released from rest and rebounds from the floor. After the first bounce, P rea
- 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 Major, Q11 (8 marks): B U ms–1 A The diagram shows two small identical uniform smooth spheres, A and B, just before A collides with B. Sphere B is at rest on a horizontal table with
- 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
- June 2022, AS Mechanics A, Q5 (6 marks): Fig. 5.1 shows a small smooth sphere A at rest on a smooth horizontal surface. At both ends of the surface is a smooth vertical wall. A Fig. 5.1 - . Sphere A co
- June 2022, AS Mechanics B, Q5 (15 marks): Two small uniform discs, A of mass 2m kg and B of mass 3m kg, slide on a smooth horizontal surface and collide obliquely with smooth contact. Immediately before
- November 2021, Mechanics Major, Q5 (6 marks): Two small uniform smooth spheres A and B, of equal radius, have masses 2 kg and 4 kg respectively. They are moving on a horizontal surface when they collide. Im
- November 2021, Mechanics Major, Q10 (13 marks): O C i a P A B b A rigid wire ABC is fixed in a vertical plane. The section AB of the wire, of length b, is straight and horizontal. The section BC of the wire i
- 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 2021, AS Mechanics B, Q4 (11 marks): Two small smooth discs, A of mass 0.5 kg and B of mass 0.4 kg, collide while sliding on a smooth horizontal plane. Immediately before the collision A and B are
- November 2020, Mechanics Major, Q6 (10 marks): A small ball of mass m kg is held at a height of 78.4 m above horizontal ground. The ball is released from rest, falls vertically and rebounds from the ground.
- November 2020, Mechanics Major, Q11 (13 marks): Two uniform small smooth spheres A and B have equal radii and equal masses. The spheres are on a smooth horizontal surface. Sphere A is moving at an acute angle
- 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 Major, Q11 (14 marks): Two uniform smooth spheres A and B have equal radii and are moving on a smooth horizontal surface. The mass of A is 0.2 kg and the mass of B is 0.6 kg. The sphe
- 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
- June 2019, AS Mechanics B, Q4 (13 marks): Two uniform discs, A of mass 0.2 kg and B of mass 0.5 kg, collide with smooth contact while moving on a smooth horizontal surface. Immediately before the collis
- June 2018, AS Mechanics A, Q5 (13 marks): A small ball is held at a height of 160 cm above a horizontal surface. The ball is released from rest and rebounds from the surface. After its first bounce on t
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