Power: OCR A‑Level Further Maths questions

OCR A-Level Further Maths past-paper questions on 2.2 Power, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.

All 19 questions on Power, as a list

June 2025, Mechanics, Q3 (6 marks): In this question you must show detailed reasoning. A particle P of mass 3.25 kg is moving on a smooth horizontal plane with velocity v ms 1 - where v 4 i 6 j .
June 2025, AS Mechanics, Q3 (12 marks): A car of mass 900 kg has an engine that is capable of working at a maximum power of 12 kW. When the car is travelling along a straight horizontal road, the maxi
June 2025, AS Mechanics, Q6 (11 marks): 6 A disc of mass 2 kg is projected, with initial speed 16 4 . ms - directly up a rough plane which is , inclined at an angle of 15° to the horizontal. The coeff
June 2024, Mechanics, Q3 (7 marks): The mass of a truck is 6000 kg and the maximum power that its engine can generate is 90 kW. In a model of the motion of the truck it is assumed that while it is
June 2024, AS Mechanics, Q4 (6 marks): 4 A particle B of mass 5 kg is at rest at the bottom of a slope which is angled at sin - 0 2 . above the horizontal. A constant force D initially acts directly
June 2024, AS Mechanics, Q6 (7 marks): A motorbike and its rider, together denoted by M, have a combined mass of 360 kg. The resistive force experienced by M when it is in motion is modelled as being
June 2023, Mechanics, Q6 (12 marks): A particle P of mass 3 kg is moving on a smooth horizontal surface under the influence of a - , is given 1 variable horizontal force F N. At time t seconds, whe
June 2023, AS Mechanics, Q4 (7 marks): A rower is rowing a boat in a straight line across a lake. The combined mass of the rower, boat and oars is 240 kg. The maximum power that the rower can generat
June 2022, Mechanics, Q1 (7 marks): A car has mass 1200 kg. The total resistance to the car’s motion is constant and equal to 250 N. (a) The car is driven along a straight horizontal road with its
June 2022, Mechanics, Q2 (7 marks): The coordinates of two points, A and B, are ( 1 - , 6) and (5, 12) respectively, where the units of the coordinate axes are metres. A particle P moves from A to
June 2022, AS Mechanics, Q4 (5 marks): A cyclist is riding a bicycle along a straight road which is inclined at an angle of 4° to the horizontal. The cyclist is working at a constant rate of 250 W. T
June 2022, AS Mechanics, Q8 (9 marks): As part of an industrial process a single pump causes the intake of a liquid chemical to the bottom end of a tube, draws it up the tube and then discharges it t
November 2021, AS Mechanics, Q2 (9 marks): A car has a mass of 800 kg. The engine of the car is working at a constant power of 15 kW. In an initial model of the motion of the car it is assumed that the c
November 2020, Mechanics, Q1 (5 marks): c 2 m N is the only horizontal force acting on a particle P of mass 1.25 kg as it moves in a 1 A force of 10 horizontal plane. Initially P is at the origin, O,
November 2020, AS Mechanics, Q1 (5 marks): A car of mass 1200 kg is driven on a long straight horizontal road. There is a constant force of 250 N resisting the motion of the car. The engine of the car is
November 2020, AS Mechanics, Q4 (12 marks): A particle P of mass 2.4 kg is moving in a straight line OA on a horizontal plane. P is acted on by a force of magnitude 30 N in the direction of motion. The di
June 2019, Mechanics, Q3 (13 marks): A particle Q of mass m kg is acted on by a single force so that it moves with constant acceleration c m 1 c 2 m 2 1 a . Initially Q is at the point O and is mov
June 2019, AS Mechanics, Q3 (11 marks): A car of mass 1500 kg has an engine with maximum power 60 kW. When the car is travelling at - along a straight horizontal road using maximum power, its accelera
June 2018, AS Mechanics, Q5 (14 marks): The engine of a car of mass 1200 kg produces a maximum power of 40 kW. In an initial model of the motion of the car the total resistance to motion is assumed to

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