plumiForces and Newton's laws: OCR A‑Level Maths questions
Every OCR A-Level Maths exam question on M.8 Forces and Newton's laws, 2018–2025, with its mark scheme and examiner’s report.
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![June 2022 AS Paper 2, question 9: Two forces ( i3 2 j )N and F N act on a particle P of mass 4 kg. + - , calculate F. 2 Given that the acceleration of P is ( 2 i 3 m j ) s [2] - +](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/h23002-jun22-09-qp.webp?v=3)
All 39 questions on Forces and Newton's laws, as a list
- June 2025, Paper 3, Q7 (5 marks): A particle P of mass 3 kg is moving on a smooth horizontal surface under the action of two - . m s 2 constant horizontal forces ( 5 i 3 j ) N and ( a i 3 b j )
- June 2025, Paper 3, Q8 (4 marks): A RN 0.6kg B 0.3 N 0.8 kg Two particles A and B of masses 0.6 kg and 0.8 kg respectively, are attached to the ends of a light inextensible string. Particle A is
- June 2025, Paper 3, Q12 (13 marks): Fig. 1 B P T N 30° A rectangular block B of mass 10 kg lies at rest in limiting equilibrium on a rough plane P inclined at 30° to the horizontal. A horizontal f
- June 2025, AS Paper 2, Q11 (13 marks): 5m B Q P 5 kg A 2kg 3kg C One end of a light inextensible string is attached to a particle A of mass 2 kg. The other end of the string is attached to a second p
- June 2024, Paper 3, Q9 (8 marks): North 12 N 17N 20° 50° O Two horizontal forces of magnitudes 17 N and 12 N act at a point O along bearings of 050° and 340° respectively (see diagram). (a) Dete
- June 2024, Paper 3, Q10 (6 marks): X N 5kg 50° 20° m kg A block of mass m kg is on smooth horizontal ground with one end of a light inextensible rope attached to its upper surface. The other end
- June 2024, Paper 3, Q11 (7 marks): C D 6 m B 2 m 50° A A uniform rectangular lamina ABCD has a mass of 0.5 kg. The length of AB is 2 m, and the length of BC is 6 m. The lamina is in limiting equi
- June 2024, Paper 3, Q13 (12 marks): B 6ms–1 1.375m θ A C The points A and B are the lower and upper ends, respectively, of a line of greatest slope on a plane inclined at an angle i to the horizon
- June 2024, AS Paper 2, Q9 (4 marks): A particle P of mass 2.5 kg is in equilibrium under the action of three horizontal forces c 3 m c 5 m = - F N , F N and F3. = - 7 10 1 2 (a) Find the force F3.
- June 2024, AS Paper 2, Q10 (11 marks): Q P 3kg 2 kg 4m Two small balls P and Q, of masses 3 kg and 2 kg respectively, are attached to the ends of a light inextensible string. The string passes over a
- June 2023, Paper 3, Q9 (6 marks): B 2N θ A block B of weight 10 N lies at rest in equilibrium on a rough plane inclined at i to the horizontal. A horizontal force of magnitude 2 N, acting above
- June 2023, Paper 3, Q10 (7 marks): A particle P of mass m kg is moving on a smooth horizontal surface under the action of two i j a i b N j . The resultant of these two forces is R N. It constant
- June 2023, Paper 3, Q11 (8 marks): B 55° 30° A A uniform rod AB, of weight 20 N and length 2.8 m, rests in equilibrium with the end A in contact with rough horizontal ground and the end B resting
- June 2023, Paper 3, Q13 (12 marks): B 2kg P 4kg 60° The diagram shows a small block B, of mass 2 kg, and a particle P, of mass 4 kg, which are attached to the ends of a light inextensible string.
- June 2023, AS Paper 2, Q11 (13 marks): Two balls P and Q have masses 0.6 kg and 0.4 kg respectively. The balls are attached to the ends of a string. The string passes over a pulley which is fixed at
- June 2022, Paper 3, Q8 (2 marks): 15° A child attempts to drag a sledge along horizontal ground by means of a rope attached to the sledge. The rope makes an angle of 15° with the horizontal (see
- June 2022, Paper 3, Q10 (8 marks): P B Q A rectangular block B is at rest on a horizontal surface. A particle P of mass 2.5 kg is placed on the upper surface of B. The particle P is attached to o
- June 2022, Paper 3, Q11 (7 marks): B D 60° C 3 m xm 60° A A uniform rod AB of mass 4 kg and length 3 m rests in a vertical plane with A on rough horizontal ground. A particle of mass 1 kg is atta
- June 2022, Paper 3, Q12 (13 marks): In this question the unit vectors i and j are in the directions east and north respectively. A particle P is moving on a smooth horizontal surface under the act
- June 2022, AS Paper 2, Q9 (2 marks): Two forces ( i3 2 j )N and F N act on a particle P of mass 4 kg. + - , calculate F. 2 Given that the acceleration of P is ( 2 i 3 m j ) s [2] - +
- June 2022, AS Paper 2, Q12 (11 marks): P 1.75m Q Particles P and Q, of masses 4 kg and 6 kg respectively, are attached to the ends of a light inextensible string. The string passes over a smooth fixe
- November 2021, Paper 3, Q10 (6 marks): 15N θ D A block D of weight 50 N lies at rest in equilibrium on a fixed rough horizontal surface. A force of magnitude 15 N is applied to D at an angle i to the
- November 2021, Paper 3, Q13 (13 marks): In this question the unit vectors i and j are in the directions east and north respectively. At time t seconds, where t 0 , a particle P of mass 2 kg is moving
- November 2021, Paper 3, Q14 (11 marks): B 3kg A 2 kg C 30° 4 kg Π 60° One end of a light inextensible string is attached to a particle A of mass 2 kg. The other end of the string is attached to a seco
- November 2021, AS Paper 2, Q9 (3 marks): 3F2N 30 N 60 N 2F1N 28N F2N F1N A body remains at rest when subjected to the horizontal and vertical forces shown in the diagram. Determine the value of F1 and
- November 2021, AS Paper 2, Q11 (7 marks): 1250N 9000N B A 20 000kg 50 000kg direction of motion A train consists of an engine A of mass 50 000 kg and a carriage B of mass 20 000 kg. The engine and carri
- November 2020, Paper 3, Q9 (13 marks): P B 1.5m A i One end of a light inextensible string is attached to a particle A of mass 2 kg. The other end of the string is attached to a second particle B of
- November 2020, AS Paper 2, Q8 (3 marks): A particle is in equilibrium under the action of the following three forces: (2pi - 4j) N, (-3qi + 5pj) N and (-13i - 6j) N. Find the values of p and q. [3]
- November 2020, AS Paper 2, Q9 (6 marks): A crane lifts a car vertically. The car is inside a crate which is raised by the crane by means of a strong cable. The cable can withstand a maximum tension of
- June 2019, Paper 3, Q9 (9 marks): B 0.2kg P 0.5kg i The diagram shows a small block B, of mass 0.2 kg, and a particle P, of mass 0.5 kg, which are attached to the ends of a light inextensible st
- June 2019, Paper 3, Q10 (13 marks): In this question the unit vectors i and j are in the directions east and north respectively. A particle R of mass 2 kg is moving on a smooth horizontal surface
- June 2019, Paper 3, Q11 (14 marks): B 2a h C d 30° A The diagram shows a ladder AB, of length 2a and mass m, resting in equilibrium on a vertical wall of height h. The ladder is inclined at an ang
- June 2019, AS Paper 2, Q9 (2 marks): c 7 m , 2 c m 9 Three forces 6 N 5 N and F N act on a particle. - Given that the particle is in equilibrium under the action of these three forces, calculate F.
- June 2019, AS Paper 2, Q11 (16 marks): Two small balls P and Q have masses 3 kg and 2 kg respectively. The balls are attached to the ends of a string. P is held at rest on a rough horizontal surface.
- June 2018, Paper 3, Q8 (6 marks): In this question 1 c m and 0 c m denote unit vectors which are horizontal and vertically upwards respectively. 8 0 1 c 2 m m, is acted on by gravity and A parti
- June 2018, Paper 3, Q10 (11 marks): Three forces, of magnitudes 4 N, 6 N and P N, act at a point in the directions shown in the diagram. 6N 4N i 2i PN The forces are in equilibrium. (i) Show that
- June 2018, Paper 3, Q12 (14 marks): One end of a light inextensible string is attached to a particle A of mass m kg. The other end of the string is attached to a second particle B of mass mm kg, w
- June 2018, AS Paper 2, Q9 (4 marks): In this question the horizontal unit vectors i and j are in the directions east and north respectively. A model ship of mass 2 kg is moving so that its accelera
- June 2018, AS Paper 2, Q10 (8 marks): Particles P and Q, of masses 3 kg and 5 kg respectively, are attached to the ends of a light inextensible string. The string passes over a smooth fixed pulley.
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