plumiWork, energy and power: OCR MEI A‑Level Further Maths questions
Every OCR MEI A-Level Further Maths exam question on FM.2 Work, energy and power, 2018–2025, with its mark scheme and examiner’s report.
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All 45 questions on Work, energy and power, as a list
- June 2025, Mechanics Major, Q1 (3 marks): A small box of mass 3 kg is pulled along a horizontal floor by a constant force of magnitude 35 N. The force acts at an angle of i above the horizontal. The tot
- June 2025, Mechanics Major, Q12 (13 marks): One end of a light elastic string of natural length a m and modulus of elasticity 4mg N is attached to a fixed point O. The other end of the string is attached
- June 2025, Mechanics Major, Q14 (11 marks): 1 2 gr m s - B θ O r m A smooth thin wire is formed into a circle of radius r m and centre O and is fixed in a vertical plane. A small bead B of mass m kg is th
- June 2025, Mechanics Minor, Q3 (6 marks): The diagram shows a crate of mass 30 kg on a smooth inclined plane. One end of a light inextensible rope is attached to the crate. The rope passes over a smooth
- June 2025, Mechanics Minor, Q6 (12 marks): In this question the unit vectors i and j are directed horizontally. Two skaters, Amos and Beth, move on a horizontal ice rink. The masses of Amos and Beth are
- June 2025, AS Mechanics A, Q3 (10 marks): In parts (a) and (b) of this question you should assume that the car experiences no resistances to motion. A car of mass 1200 kg is moving on a straight road. A
- June 2025, AS Mechanics A, Q6 (11 marks): Throughout this question you should assume that there is no air resistance. - . A particle is projected vertically upwards with speed u m s 1 (a) Show that the
- June 2024, Mechanics Major, Q5 (7 marks): A car of mass 850 kg is travelling along a straight horizontal road. The power developed by the car is constant and is equal to 18 kW. There is a constant resis
- June 2024, Mechanics Major, Q9 (11 marks): A particle P of mass 5 kg is released from rest at a point O and falls vertically. A resistance of 0 05 2 N acts vertically upwards on P, where m s 1 magnitude
- June 2024, Mechanics Minor, Q1 (5 marks): A car of mass 1500 kg travels along a horizontal straight road. There are no resistances to the car’s motion. The power developed by the car as it increases its
- June 2024, Mechanics Minor, Q3 (9 marks): The diagram shows the three points A, B and C that lie along a line of greatest slope on a rough plane which is inclined at an angle of 25° to the horizontal. 3
- June 2024, AS Mechanics A, Q5 (9 marks): In the diagram below, points A, B and C lie in the same vertical plane. The slope AB is inclined at an angle of 30° to the horizontal and AB = 5 m. The point B
- June 2023, Mechanics Major, Q1 (4 marks): A car of mass 800 kg moves in a straight line along a horizontal road. There is a constant resistance to the motion of the car of magnitude 600 N. 1 When the ca
- June 2023, Mechanics Major, Q10 (16 marks): A u 30° O r i B A hollow sphere has centre O and internal radius r. A bowl is formed by removing part of the sphere. The bowl is fixed to a horizontal floor, wi
- June 2023, Mechanics Minor, Q2 (6 marks): A car of mass 1400 kg, travels along a straight horizontal road AB, after which it descends a hill BC inclined at a constant angle of 7° to the horizontal (see
- June 2023, Mechanics Minor, Q3 (11 marks): The diagram shows two blocks P and Q of masses 0.5 kg and 2 kg respectively, on a horizontal surface. The points A, B and C lie on the surface in a straight lin
- June 2023, Mechanics Minor, Q4 (8 marks): The diagram shows two particles P and Q, of masses 10 kg and 5 kg respectively, which are attached to the ends of a light inextensible string. The string is tau
- June 2023, AS Mechanics A, Q1 (7 marks): Throughout all parts of this question, the resistance to the motion of a car has magnitude kv2 N, where v m s 1 - is the speed of the car and k is a constant. -
- June 2023, AS Mechanics A, Q2 (10 marks): A ball P of mass m kg is held at a height of 12.8 m above a horizontal floor. P is released from rest and rebounds from the floor. After the first bounce, P rea
- June 2023, AS Mechanics A, Q4 (10 marks): The diagram shows three beads, A, B and C, of masses 0.3 kg, 0.5 kg and 0.7 kg respectively, threaded onto a smooth wire circuit consisting of two straight and
- June 2022, Mechanics Major, Q6 (7 marks): In this question the box should be modelled as a particle. A box of mass m kg is placed on a rough slope which makes an angle of a with the horizontal. (a) Show
- June 2022, Mechanics Major, Q10 (10 marks): A hm O P i r m B C A small toy car runs along a track in a vertical plane. The track consists of three sections: a curved section AB, a horizontal section BC wh
- June 2022, Mechanics Minor, Q3 (6 marks): A rough circular hoop, with centre O and radius 1 m, is fixed in a vertical plane. A, B and C are points on the hoop such that A and C are at the same horizonta
- June 2022, AS Mechanics A, Q4 (10 marks): The diagram shows two points A and B on a snowy slope. A is a vertical distance of 25 m above B. A 25m B A rider and snowmobile, with a combined mass of 240 kg,
- November 2021, Mechanics Major, Q7 (12 marks): A box B of mass m kg is raised vertically by an engine working at a constant rate of kmg W. - . Initially B is at rest. The speed of B when it has been raised a
- November 2021, Mechanics Minor, Q3 (5 marks): The diagram shows an electric winch raising two crates A and B, with masses 40 kg and 25 kg, respectively. The cable connecting the winch to A, and the cable co
- November 2021, Mechanics Minor, Q4 (12 marks): s 1 4 A child throws a ball of mass m kg vertically upwards with a speed of 7.2 m - . The ball leaves the child’s hand at a height of 1.6 m above horizontal gro
- November 2021, Mechanics Minor, Q6 (13 marks): A block rests on a horizontal surface. The coefficient of friction between the block and the surface is n. 2 v - , it will move a distance of (a) Show that if t
- November 2021, AS Mechanics A, Q4 (8 marks): The diagram shows the path of a particle P of mass 2 kg as it moves from the origin O to C via A and B. The lengths of the sections OA, AB and BC are given in t
- November 2021, AS Mechanics A, Q5 (8 marks): A car of mass 1600 kg is travelling uphill along a straight road inclined at 4.7° to the horizontal. The power developed by the car is constant and equal to 120
- November 2020, Mechanics Major, Q1 (5 marks): A particle P of mass 0.5 kg is attached to a fixed point O by a light elastic string of natural length 3 m and modulus of elasticity 75 N. P is released from re
- November 2020, Mechanics Major, Q5 (8 marks): A car of mass 900 kg moves along a straight level road. The power developed by the car is constant and equal to 60 kW. The resistance to the motion of the car i
- November 2020, Mechanics Major, Q10 (14 marks): O θ P a A Fig. 10 Fig. 10 shows a small bead P of mass m which is threaded on a smooth thin wire. The wire is in the form of a circle of radius a and centre O.
- November 2020, Mechanics Minor, Q3 (9 marks): In this question i and j are perpendicular unit vectors and c is a positive real number. The resultant of two forces ci N and i 2 c j N is denoted by R N. - + (
- November 2020, Mechanics Minor, Q4 (8 marks): A block of mass 20 kg is placed on a rough plane inclined at an angle 30° to the horizontal. The block is pulled up the plane by a constant force acting paralle
- November 2020, AS Mechanics A, Q1 (4 marks): Brent is riding his bicycle along a straight horizontal road. While riding along this road Brent can attain a maximum speed of .6 25ms 1 - and the wind resistan
- November 2020, AS Mechanics A, Q7 (9 marks): Fig. 7.1 shows one end of a light inextensible string attached to a block A of mass 4.4 kg. The other end of the string is attached to a block B of mass 5.2 kg.
- June 2019, Mechanics Major, Q5 (7 marks): A particle P of mass 4 kilograms moves in such a way that its position vector at time t seconds is r metres, where t3 r t3 i 2 e - j . = + (a) Find the initial
- June 2019, Mechanics Major, Q6 (7 marks): a O A P Q Fig. 6 The rim of a smooth hemispherical bowl is a circle of centre O and radius a. The bowl is fixed with its rim horizontal and uppermost. A particl
- June 2019, Mechanics Major, Q8 (11 marks): A car of mass 800 kg travels up a line of greatest slope of a straight road inclined at 5° to the horizontal. The power developed by the car is constant and equ
- June 2019, Mechanics Minor, Q1 (6 marks): Dilip and Anna are doing an experiment to find the power at which they each work when running up a staircase at school. The top of the staircase is a vertical d
- June 2019, AS Mechanics A, Q1 (3 marks): A child is pulling a toy block in a straight line along a horizontal floor. The block is moving with a constant speed of 2 m s-1 by means of a constant force of
- June 2019, AS Mechanics A, Q5 (10 marks): A car of mass 4000 kg travels up a line of greatest slope of a straight road inclined at an angle of i to the horizontal, where sin 0 1 . . i = The power develo
- June 2019, AS Mechanics B, Q6 (14 marks): A smooth solid hemisphere of radius a is fixed with its plane face in contact with a horizontal surface. The highest point on the hemisphere is H, and the centr
- June 2018, AS Mechanics A, Q2 (12 marks): A car of mass 1350 kg travels along a straight horizontal road. Throughout this question the resistance force to the motion of the car is modelled as constant a
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