plumiWork and energy: OCR A‑Level Further Maths questions
OCR A-Level Further Maths past-paper questions on 2.1 Work and energy, 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.
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All 31 questions on Work and energy, as a list
- 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
- 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, 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
- 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 2025, AS Mechanics, Q7 (8 marks): In this question you must show detailed reasoning. A particle P of mass m kg is attached to one end of a light rod of length 12.6 m. The other end of the rod is
- June 2024, Mechanics, Q2 (5 marks): One end of a light elastic string of natural length 1.4 m and modulus of elasticity 20 N is attached to a small object B of mass 2.5 kg. The other end of the st
- June 2024, AS Mechanics, Q2 (8 marks): A particle P of mass 0.4 kg is attached to one end of a light inextensible string of length 1.8 m. The other end of the string is attached to a fixed point, O,
- 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, 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
- June 2023, Mechanics, Q1 (8 marks): One end of a light inextensible string of length 0.8 m is attached to a particle P of mass m kg. The other end of the string is attached to a fixed point O. Ini
- 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, Mechanics, Q8 (8 marks): One end of a light elastic string of natural length 2.1 m and modulus of elasticity 4.8 N is attached to a particle, P, of mass 1.75 kg. The other end of the st
- June 2023, AS Mechanics, Q2 (5 marks): O 3.2m P 60° u ms−1 P A small body P of mass 3 kg is at rest at the lowest point of the inside of a smooth hemispherical shell of radius 3.2 m and centre O. - .
- 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
- 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, 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
- 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
- June 2022, AS Mechanics, Q3 (5 marks): A smooth wire is shaped into a circle of radius 4.2 m which is fixed in a vertical plane with its centre at a point O. A small bead B is threaded onto the wire.
- 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, Mechanics, Q4 (8 marks): A hollow cone is fixed with its axis vertical and its vertex downwards. A small sphere P of mass m kg is moving in a horizontal circle on the inner surface of t
- November 2021, AS Mechanics, Q4 (9 marks): A small box B of mass 4.2 kg is initially at rest at a point O on rough horizontal ground. A horizontal force of magnitude 35 N is applied to B. B moves in a st
- November 2021, AS Mechanics, Q6 (12 marks): A smooth hemispherical shell of radius r m is held with its circular rim horizontal and uppermost. The centre of the rim is at the point O and the point on the
- 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, Q3 (6 marks): A particle P of mass 5.6 kg is attached to one end of a light rod of length 2.1 m. The other end of the rod is freely hinged to a fixed point O. – . The particl
- 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, 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
- June 2019, AS Mechanics, Q1 (6 marks): O 2.5m B .8 4ms 1 - A smooth wire is shaped into a circle of radius 2.5 m which is fixed in a vertical plane with its centre at a point O. A small bead B is thr
- June 2019, AS Mechanics, Q5 (14 marks): A 1 m ~rads–1 P 0.6 m 1m R B As shown in the diagram, AB is a long thin rod which is fixed vertically with A above B. One end of a light inextensible string of
- June 2018, AS Mechanics, Q1 (6 marks): O 15° 3.2m P 1.2ms–1 A particle P of mass m kg is attached to one end of a light inextensible string of length 3.2 m. The other end of the string is attached to
- 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
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