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Momentum and impulse: OCR A‑Level Further Maths questions

Every OCR A-Level Further Maths exam question on FM.1 Momentum and impulse, 2018–2025, with its mark scheme and examiner’s report.

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648 questions

  1. Q1

    June 2025 · Mechanics

    The whole paper ↗
    June 2025 Mechanics, question 1: s 1 1 A particle P of mass 4 kg is moving in a straight line with a speed of m 7 - on a smooth horizontal surface. A constant force of magnitude 12 N acts on P
  2. Q1

    June 2025 · AS Mechanics

    The whole paper ↗
    June 2025 AS Mechanics, question 1: A cricket ball of mass 0.16 kg is at rest on rough horizontal ground when it is struck by a bat. 1 Immediately after the ball is struck its speed is 15 ms - in
  3. Q2

    June 2025 · AS Mechanics

    The whole paper ↗
    June 2025 AS Mechanics, question 2: Two particles, A of mass m kg and B of mass 2m kg, are connected by a light inextensible string. The particles are initially placed together at rest on a smooth
  4. Q4

    June 2025 · AS Mechanics

    The whole paper ↗
    June 2025 AS Mechanics, question 4: Two particles, A of mass 4 kg and B of mass 2 kg, are free to move along the same straight line on a smooth horizontal surface. They are projected directly towa
  5. Q1

    June 2024 · Mechanics

    The whole paper ↗
    June 2024 Mechanics, question 1: A particle P of mass 12.5 kg is moving on a smooth horizontal plane when it collides obliquely with a fixed vertical wall. - . 1 At the instant before the colli
  6. Q1

    June 2024 · AS Mechanics

    The whole paper ↗
    June 2024 AS Mechanics, question 1: 1 A particle P of mass 2.5 kg is moving with a constant speed of m s 4 - in a straight line on a smooth horizontal plane when it collides directly with a fixed
  7. Q5

    June 2024 · AS Mechanics

    The whole paper ↗
    June 2024 AS Mechanics, question 5: Two particles, A of mass mA kg and B of mass 5 kg, are moving directly towards each other on a 1 1 smooth horizontal floor. Before they collide they have speeds
  8. Q7

    June 2024 · AS Mechanics

    The whole paper ↗
    June 2024 AS Mechanics, question 7: A particle P of mass 3.5 kg is attached to one end of a rod of length 5.4 m. The other end of the rod is hinged at a fixed point O and P hangs in equilibrium di
  9. Q1

    June 2023 · AS Mechanics

    The whole paper ↗
    June 2023 AS Mechanics, question 1: Two particles A, of mass m kg, and B, of mass 3m kg, are connected by a light inextensible string and placed together at rest on a smooth horizontal surface wit
  10. Q3

    June 2023 · AS Mechanics

    The whole paper ↗
    June 2023 AS Mechanics, question 3: 3 A crate of mass 45 kg is sliding with a speed of . ms 0 8 - in a straight line across a smooth horizontal floor. One end of a light inextensible rope is attac
  11. Q5

    June 2023 · AS Mechanics

    The whole paper ↗
    June 2023 AS Mechanics, question 5: Two identical spheres, A and B, each of mass 4 kg, are moving directly towards each other along the same straight line on a smooth horizontal surface until they
  12. Q3

    June 2022 · Mechanics

    The whole paper ↗
    June 2022 Mechanics, question 3: A particle P of mass 6 kg moves in a straight line under the action of a single force of magnitude F N which acts in the direction of motion of P. 1 At time t s
  13. Q6

    June 2022 · Mechanics

    The whole paper ↗
    June 2022 Mechanics, question 6: A particle P of mass 2.5 kg is free to move along the x‑axis. When its displacement from the origin - . s 1 is x m its velocity is m v At time t 0 seconds, P is
  14. Q1

    June 2022 · AS Mechanics

    The whole paper ↗
    June 2022 AS Mechanics, question 1: Two stones, A and B, are sliding along the same straight line on a horizontal sheet of ice. 1 Stone A, of mass 50 kg, is moving with a constant velocity of . ms
  15. Q2

    June 2022 · AS Mechanics

    The whole paper ↗
    June 2022 AS Mechanics, question 2: A hockey puck of mass 0.2 kg is sliding down a rough slope which is inclined at 10° to the 1 horizontal. At the instant that its velocity is 14 ms - directly do
  16. Q2

    November 2021 · Mechanics

    The whole paper ↗
    November 2021 Mechanics, question 2: A particle P of mass 2 kg is moving on a large smooth horizontal plane when it collides with a fixed 1 smooth vertical wall. Before the collision its velocity i
  17. Q3

    November 2021 · AS Mechanics

    The whole paper ↗
    November 2021 AS Mechanics, question 3: - on a smooth horizontal surface 1 3 A particle A of mass 0.5 kg is moving with a speed of . 3 15 ms when it collides directly with a particle B of mass 0.8 kg
  18. Q2

    November 2020 · AS Mechanics

    The whole paper ↗
    November 2020 AS Mechanics, question 2: A particle P of mass 4.5 kg is moving in a straight line on a smooth horizontal surface at a speed of - . .2 4ms 1 - when it strikes a vertical wall directly. I
  19. Q6

    November 2020 · AS Mechanics

    The whole paper ↗
    November 2020 AS Mechanics, question 6: Three particles A, B and C are free to move in the same straight line on a large smooth horizontal surface. Their masses are 3.3 kg, 2.2 kg and 1 kg respectivel
  20. Q6

    June 2019 · Mechanics

    The whole paper ↗
    June 2019 Mechanics, question 6: Two particles A and B, of masses m kg and 1 kg respectively, are connected by a light inextensible 1 string of length d m and placed at rest on a smooth horizon
All 24 questions on Momentum and impulse, as a list
  1. June 2025, Mechanics, Q1 (8 marks): s 1 1 A particle P of mass 4 kg is moving in a straight line with a speed of m 7 - on a smooth horizontal surface. A constant force of magnitude 12 N acts on P
  2. June 2025, AS Mechanics, Q1 (4 marks): A cricket ball of mass 0.16 kg is at rest on rough horizontal ground when it is struck by a bat. 1 Immediately after the ball is struck its speed is 15 ms - in
  3. June 2025, AS Mechanics, Q2 (9 marks): Two particles, A of mass m kg and B of mass 2m kg, are connected by a light inextensible string. The particles are initially placed together at rest on a smooth
  4. June 2025, AS Mechanics, Q4 (7 marks): Two particles, A of mass 4 kg and B of mass 2 kg, are free to move along the same straight line on a smooth horizontal surface. They are projected directly towa
  5. June 2024, Mechanics, Q1 (8 marks): A particle P of mass 12.5 kg is moving on a smooth horizontal plane when it collides obliquely with a fixed vertical wall. - . 1 At the instant before the colli
  6. June 2024, AS Mechanics, Q1 (6 marks): 1 A particle P of mass 2.5 kg is moving with a constant speed of m s 4 - in a straight line on a smooth horizontal plane when it collides directly with a fixed
  7. June 2024, AS Mechanics, Q5 (14 marks): Two particles, A of mass mA kg and B of mass 5 kg, are moving directly towards each other on a 1 1 smooth horizontal floor. Before they collide they have speeds
  8. June 2024, AS Mechanics, Q7 (11 marks): A particle P of mass 3.5 kg is attached to one end of a rod of length 5.4 m. The other end of the rod is hinged at a fixed point O and P hangs in equilibrium di
  9. June 2023, AS Mechanics, Q1 (4 marks): Two particles A, of mass m kg, and B, of mass 3m kg, are connected by a light inextensible string and placed together at rest on a smooth horizontal surface wit
  10. June 2023, AS Mechanics, Q3 (10 marks): 3 A crate of mass 45 kg is sliding with a speed of . ms 0 8 - in a straight line across a smooth horizontal floor. One end of a light inextensible rope is attac
  11. June 2023, AS Mechanics, Q5 (14 marks): Two identical spheres, A and B, each of mass 4 kg, are moving directly towards each other along the same straight line on a smooth horizontal surface until they
  12. June 2022, Mechanics, Q3 (6 marks): A particle P of mass 6 kg moves in a straight line under the action of a single force of magnitude F N which acts in the direction of motion of P. 1 At time t s
  13. June 2022, Mechanics, Q6 (10 marks): A particle P of mass 2.5 kg is free to move along the x‑axis. When its displacement from the origin - . s 1 is x m its velocity is m v At time t 0 seconds, P is
  14. June 2022, AS Mechanics, Q1 (8 marks): Two stones, A and B, are sliding along the same straight line on a horizontal sheet of ice. 1 Stone A, of mass 50 kg, is moving with a constant velocity of . ms
  15. June 2022, AS Mechanics, Q2 (7 marks): A hockey puck of mass 0.2 kg is sliding down a rough slope which is inclined at 10° to the 1 horizontal. At the instant that its velocity is 14 ms - directly do
  16. November 2021, Mechanics, Q2 (9 marks): A particle P of mass 2 kg is moving on a large smooth horizontal plane when it collides with a fixed 1 smooth vertical wall. Before the collision its velocity i
  17. November 2021, AS Mechanics, Q3 (13 marks): - on a smooth horizontal surface 1 3 A particle A of mass 0.5 kg is moving with a speed of . 3 15 ms when it collides directly with a particle B of mass 0.8 kg
  18. November 2020, AS Mechanics, Q2 (7 marks): A particle P of mass 4.5 kg is moving in a straight line on a smooth horizontal surface at a speed of - . .2 4ms 1 - when it strikes a vertical wall directly. I
  19. November 2020, AS Mechanics, Q6 (12 marks): Three particles A, B and C are free to move in the same straight line on a large smooth horizontal surface. Their masses are 3.3 kg, 2.2 kg and 1 kg respectivel
  20. June 2019, Mechanics, Q6 (9 marks): Two particles A and B, of masses m kg and 1 kg respectively, are connected by a light inextensible 1 string of length d m and placed at rest on a smooth horizon
  21. June 2019, AS Mechanics, Q2 (7 marks): A particle A of mass 3.6 kg is attached by a light inextensible string to a particle B of mass 2.4 kg. A and B are initially at rest, with the string slack, on
  22. June 2019, AS Mechanics, Q6 (11 marks): Particles A of mass 2m and B of mass m are on a smooth horizontal floor. A is moving with speed u directly towards a vertical wall, and B is at rest between A a
  23. June 2018, AS Mechanics, Q2 (11 marks): A particle P of mass 3.5 kg is moving down a line of greatest slope of a rough inclined plane. At the instant that its speed is 2.1 m s−1 P is at a point A on t
  24. June 2018, AS Mechanics, Q4 (11 marks): 4.0ms–1 1.2kg 1.8kg mkg A B C Three particles A, B and C are free to move in the same straight line on a large smooth horizontal surface. Their masses are 1.2 k

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