plumiForces and Newton's laws: WJEC A‑Level Maths questions
Every WJEC 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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All 31 questions on Forces and Newton's laws, as a list
- Summer 2025, Unit 4, Q5 (7 marks): 5. The diagram below shows a set of traffic lights suspended in equilibrium by means of two cables AC and BC, inclined at angles of 60° and 45° to the vertical
- Summer 2025, Unit 4, Q7 (8 marks): A particle of mass 1.2 kg is moving in a straight line under the action of a variable force F N, 7. where 30 F . 2 t 2 The speed of the particle at time
- Summer 2025, Unit 4, Q8 (7 marks): 8. An object, of mass 5 kg, is projected up the line of greatest slope of a rough plane inclined at an angle of 30° to the horizontal. Given that the decelerati
- Summer 2025, AS Unit 2, Q6 (6 marks): Two forces G and H are given by 6. G = (–4i + 6j)N, H = (ki – 9j) N, where k is a constant. A particle has a mass of 0·5 kg. Given that the particle is in equil
- Summer 2025, AS Unit 2, Q8 (8 marks): 8. Two objects A and B are connected by a light inextensible string passing over a smooth fixed pulley. Object A has mass 2 kg and object B has mass 2 kg. Anoth
- Summer 2025, AS Unit 2, Q10 (11 marks): 10. A lift is pulled upwards by means of a single cable, as shown in the diagram on the right. A person of mass 80 kg is standing in the lift. The mass of the l
- Summer 2024, Unit 4, Q5 (7 marks): The diagram below shows four coplanar horizontal forces of magnitude F N, 12 N, 16 N and 5. 20 N acting at a point P in the directions shown. F N 20 N α P 12 N
- Summer 2024, Unit 4, Q8 (7 marks): 8. Three forces F1, F2 and F3 are acting on an object of mass 3 kg such that F i 8 c j 11 c k N, 1 F 14 i c j 12 k N, 2 F i j k N,
- Summer 2024, Unit 4, Q9 (11 marks): 9. The diagram below shows a parcel, of mass m kg, sliding down a rough slope inclined at an 7 angle α to the horizontal, where sin . 25 α The coefficient o
- Summer 2024, AS Unit 2, Q7 (4 marks): 7. The diagram below shows a forklift truck being used to raise two boxes, P and Q, vertically. Box Q rests on horizontal forks and box P rests on top of box Q.
- Summer 2024, AS Unit 2, Q8 (7 marks): 8. A particle, of mass 4 kg, moves in a straight line under the action of a single force F N, whose magnitude at time t seconds is given by F 12 t 32 for t
- Summer 2024, AS Unit 2, Q9 (9 marks): 9. The diagram below shows an object A, of mass 2m kg, lying on a horizontal table. It is connected to another object B, of mass m kg, by a light inextensible s
- Summer 2023, Unit 4, Q9 (7 marks): 9 The diagram below shows a wooden crate of mass 35 kg being pushed on a rough horizontal floor, by a force of magnitude 380 N inclined at an angle of 30° below
- Summer 2023, AS Unit 2, Q7 (6 marks): A person is standing in a lift which is descending with a constant acceleration 0 7 of g 10 ms−2. The lift is supported by a single cable. a) The total mass of
- Summer 2023, AS Unit 2, Q9 (6 marks): 9 Three forces F, G and H are such that F = (2i – 13j) N, G = (–6i + 8j) N, H = (12i + kj) N, where k is a constant. The resultant of the three forces, R, has m
- Summer 2023, AS Unit 2, Q10 (10 marks): 0 The diagram below shows two objects A and B connected by a light inextensible string passing over a smooth fixed pulley. Object A has mass 4∙5 kg and object B
- Summer 2022, Unit 4, Q6 (5 marks): 6 The diagram shows a hanging basket attached at a point A to two light rods AB and AC. The rod AC is horizontal and the rod AB is inclined at an angle α to the
- Summer 2022, Unit 4, Q8 (8 marks): 8 α The diagram shows a ramp being used to load a washing machine of mass 90 kg into a truck. The washing machine may be modelled as a particle and the ramp as
- Summer 2022, AS Unit 2, Q7 (6 marks): 7 The diagram below shows a vehicle of mass 1300 kg towing a trailer of mass 500 kg by means of a light horizontal tow bar. The vehicle is moving forward along
- Summer 2022, AS Unit 2, Q9 (9 marks): 9 The diagram below shows an object A, of mass 15 kg, lying on a smooth horizontal surface. It is connected to a box B by a light inextensible string which pass
- Summer 2019, Unit 4, Q6 (9 marks): A particle P of mass 0∙5 kg moves on a horizontal plane such that its velocity vector v ms–1 0 6 at time t seconds is given by v = 12cos(3t) i – 5 sin(2t) j. a)
- Summer 2019, Unit 4, Q7 (6 marks): 7 Three coplanar horizontal forces of magnitude 21 N, 11 N and 8 N act on a particle P in the directions shown in the diagram. 21 N 8 N P α 11 N tanα= 3 a) Give
- Summer 2019, Unit 4, Q8 (7 marks): 8 A box of mass 2 kg is projected along a horizontal surface with an initial velocity of 5 ms–1. The box experiences a variable resistive force of 0.4v2 N, wher
- Summer 2019, AS Unit 2, Q6 (6 marks): Three forces F1, F2 and F3 are acting on a body of mass 2 kg such that 0 6 F1 = (6i – 7j) N, F2 = (ai + 2j) N, F3 = (5i + bj) N, where a, b are constants. Given
- Summer 2019, AS Unit 2, Q10 (8 marks): 0 Two particles A and B, of mass 3 kg and M kg respectively, are connected by a light inextensible string passing over a smooth fixed pulley. Initially, the par
- Summer 2018, Unit 4, Q7 (11 marks): An object of mass 0.5 kg is thrown vertically upwards with initial speed 24 ms–1. The 0 7 velocity of the object at time t seconds is v ms–1. During the upward
- Summer 2018, Unit 4, Q8 (9 marks): 8 An object of mass 60 kg is on a rough plane inclined at an angle of 20° to the horizontal. The coefficient of friction between the object and the plane is 0.3
- Summer 2018, Unit 4, Q10 (6 marks): A particle of mass 2 kg moves under the action of a constant force F N, where F is given 1 0 by F = –3i + 4j – 5k. a) Find the magnitude of the acceleration of
- Summer 2018, AS Unit 2, Q8 (7 marks): 8 The diagram shows two objects A and B, of mass 3 kg and 5 kg respectively, connected by a light inextensible string passing over a light smooth pulley fixed a
- Summer 2018, AS Unit 2, Q9 (6 marks): 9 Three forces L, M and N are given by L = 2i + 5j, M = 3i – 22j, N = 4i – 23j. Find the magnitude and direction of the resultant of the three forces. [6]
- Summer 2018, AS Unit 2, Q10 (7 marks): 0 A person, of mass 68 kg, stands in a lift which is moving upwards with constant acceleration. The lift is of mass 770 kg and the tension in the lift cable is
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