plumiForces and Newton's laws: OCR MEI A‑Level Maths questions
Every OCR MEI 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 2024 AS Paper 1, question 2: Two forces F1 N and F2 N are given by F 6 i 2 j and F 8 i + . j 1 =- + 2 =- Show that the magnitude of the resultant of these two forces is 205N. [2]](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/h63001-jun24-02-qp.webp?v=3)
All 39 questions on Forces and Newton's laws, as a list
- June 2025, Paper 1, Q6 (8 marks): 6 A car is travelling along a straight horizontal road. The car’s velocity ms v - at time t s is shown in the velocity-time graph below. The points (0, 3) and (
- June 2025, Paper 1, Q14 (15 marks): In this question the i and j vectors are horizontal and vertically upward respectively. A particle of mass 5 kg is at rest on a rough horizontal shelf. The coef
- June 2025, AS Paper 1, Q5 (4 marks): Two blocks A and B have masses 5 kg and 2 kg respectively. The blocks are joined together by a light rigid horizontal bar and slide across a horizontal surface.
- June 2025, AS Paper 1, Q8 (3 marks): – . 2 8 On the planet Mars, acceleration due to gravity is . 3 71 ms (a) Calculate the time it would take an object to fall to the planet’s surface from rest fr
- June 2025, AS Paper 1, Q10 (5 marks): In this question, the i direction is horizontal and the j direction is vertically upwards. A particle of mass 3 kg is in equilibrium. (a) Explain what is meant
- June 2024, Paper 1, Q2 (5 marks): A car of mass 1400 kg pulls a trailer of mass 400 kg along a straight horizontal road. The engine of the car produces a driving force of 6000 N. A resistance of
- June 2024, Paper 1, Q3 (5 marks): A particle hangs at the end of a string. A horizontal force of magnitude F N acting on the particle holds it in equilibrium so that the string makes an angle of
- June 2024, Paper 1, Q9 (7 marks): A child throws a pebble of mass 40 g vertically downwards with a speed of 6 m s–1 from a point 9 0.8 m above a sandy beach. (a) Calculate the speed at which the
- June 2024, Paper 1, Q16 (7 marks): A block of mass m kg rests on rough horizontal ground. The coefficient of friction between the block and the ground is n. A force of magnitude T N is applied at
- June 2024, AS Paper 1, Q2 (2 marks): Two forces F1 N and F2 N are given by F 6 i 2 j and F 8 i + . j 1 =- + 2 =- Show that the magnitude of the resultant of these two forces is 205N. [2]
- June 2024, AS Paper 1, Q10 (8 marks): A boat pulls a water skier of mass 65 kg with a light inextensible horizontal towrope. The mass of the boat is 985 kg. There is a driving force of 2400 N acting
- June 2023, Paper 1, Q12 (7 marks): In this question the unit vectors i and j are horizontal and vertically upwards respectively. A particle has mass 2 kg. (a) Write down its weight as a vector. [
- June 2023, Paper 1, Q13 (12 marks): A block of mass 8 kg is placed on a rough plane inclined at 15° to the horizontal. The coefficient of friction between the block and the plane is 0.3. One end o
- June 2023, AS Paper 1, Q11 (7 marks): A block of mass 3 kg is at rest on a smooth horizontal table. It is attached to a light inextensible string which passes over a smooth pulley. This part of the
- June 2023, AS Paper 1, Q12 (8 marks): Points A, B and C lie in a straight line in that order on horizontal ground. A box of mass 5 kg is pushed from A to C by a horizontal force of magnitude 8 N. Th
- June 2022, Paper 1, Q5 (5 marks): A sphere of mass 3 kg hangs on a string. A horizontal force of magnitude F N acts on the sphere so that it hangs in equilibrium with the string making an angle
- June 2022, Paper 1, Q13 (12 marks): A toy train consists of an engine of mass 0.5 kg pulling a coach of mass 0.4 kg. The coupling between the engine and the coach is light and inextensible. The tr
- June 2022, AS Paper 1, Q7 (4 marks): In this question the unit vectors i and j are directed east and north respectively. A canal narrowboat of mass 9 tonnes is pulled by two ropes. The tensions in
- June 2022, AS Paper 1, Q9 (6 marks): A tractor of mass 1800 kg uses a towbar to pull a trailer of mass 1000 kg on a level field. The tractor and trailer experience resistances to motion of 1600 N a
- November 2021, Paper 1, Q2 (3 marks): An unmanned spacecraft has a weight of 5200 N on Earth. It lands on the surface of the planet - . Mars where the acceleration due to gravity is 3.7 m s 2 Calcul
- November 2021, Paper 1, Q9 (8 marks): The diagram shows a toy caterpillar consisting of a head and three body sections each connected by a light inextensible ribbon. The head has a mass of 120 g and
- November 2021, Paper 1, Q12 (7 marks): A box of mass m kg slides down a rough slope inclined at 15° to the horizontal. The coefficient of friction between the box and the slope is 0.4. The box has an
- November 2021, Paper 1, Q13 (13 marks): In this question i and j are unit vectors in the x- and y-directions respectively. - . At time t = 0 the position of the 2 + m s 1 The velocity of a particle at
- November 2021, AS Paper 1, Q3 (2 marks): Forces F ( 2 i 9 j ) N and F ( i j N ) act on a particle. A third force F3 acts so that the 1 = + 2 = - + particle is in equilibrium under the action of the thr
- November 2021, AS Paper 1, Q10 (10 marks): A rescue worker is lowered from a helicopter on a rope. She attaches a second rope to herself and to a woman in difficulties on the ground. The helicopter winch
- November 2020, Paper 1, Q11 (11 marks): A block of mass 2 kg is placed on a rough horizontal table. A light inextensible string attached to the block passes over a smooth pulley attached to the edge o
- November 2020, Paper 1, Q15 (9 marks): Fig. 15 shows a particle of mass m kg on a smooth plane inclined at 30° to the horizontal. Unit vectors i and j are parallel and perpendicular to the plane, in
- November 2020, AS Paper 1, Q4 (5 marks): In this question, the x and y directions are horizontal and vertically upwards respectively. J N 4 KK OO A particle of mass 1.5 kg is in equilibrium under the a
- June 2019, Paper 1, Q5 (4 marks): A car of mass 1200 kg travels from rest along a straight horizontal road. The driving force is 4000 N and the total of all resistances to motion is 800 N. Calcu
- June 2019, Paper 1, Q11 (5 marks): In this question, the unit vector i is horizontal and the unit vector j is vertically upwards. A particle of mass 0.8 kg moves under the action of its weight an
- June 2019, Paper 1, Q13 (5 marks): A 15 kg box is suspended in the air by a rope which makes an angle of 30° with the vertical. The box is held in place by a string which is horizontal. (a) Draw
- June 2019, Paper 1, Q16 (14 marks): A particle of mass 2 kg slides down a plane inclined at 20° to the horizontal. The particle has an initial velocity of .1 4ms 1 - down the plane. Two models for
- June 2019, AS Paper 1, Q5 (3 marks): In this question, the unit vectors i and j are horizontal and vertically upwards respectively. A particle has mass 2.5 kg. (a) Write the weight of the particle
- June 2019, AS Paper 1, Q6 (7 marks): Fig. 6 shows a train consisting of an engine of mass 80 tonnes pulling two trucks each of mass 25 tonnes. Truck B Truck A Engine Fig. 6 The engine exerts a driv
- June 2018, Paper 1, Q4 (4 marks): Rory pushes a box of mass 2.8 kg across a rough horizontal floor against a resistance of 19 N. Rory applies a constant horizontal force. The box accelerates fro
- June 2018, Paper 1, Q11 (7 marks): Fig. 11 shows two blocks at rest, connected by a light inextensible string which passes over a smooth pulley. Block A of mass 4.7 kg rests on a smooth plane inc
- June 2018, AS Paper 1, Q3 (3 marks): A particle is in equilibrium under the action of three forces in newtons given by 1 = c m, 8 c 2 a m and 3 = c m. 0 F F F 2 = - 0 3 a b Find the values of the c
- June 2018, AS Paper 1, Q4 (4 marks): Fig. 4 shows a block of mass 4m kg and a particle of mass m kg connected by a light inextensible string passing over a smooth pulley. The block is on a horizont
- June 2018, AS Paper 1, Q7 (6 marks): A toy boat of mass 1.5 kg is pushed across a pond, starting from rest, for 2.5 seconds. During this time, the boat has an acceleration of 2 m s-2. Subsequently,
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