plumiDimensional analysis: OCR MEI A‑Level Further Maths questions
Every OCR MEI A-Level Further Maths exam question on FM.8 Dimensional analysis, 2018–2025, with its mark scheme and examiner’s report.
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![June 2025 Mechanics Minor, question 2: (a) (i) State the dimensions of force. [1] (ii) State the dimensions of energy. [1] The surface tension, S, of a liquid can be defined as force per unit length.](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/y43101-jun25-02-qp.webp?v=3)
![June 2024 Mechanics Minor, question 2: (a) State the dimensions of force. [1] Use the following metric-imperial conversion factors for the rest of this question. • 1 kg 2 2 . lb ( pounds ) = • 1 m 39](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/y43101-jun24-02-qp.webp?v=3)
![June 2024 AS Mechanics A, question 2: (a) Find the dimensions of energy. [1] The moment of inertia, I, of a rigid body rotating about a fixed axis is measured in kgm2. (b) State the dimensions of I.](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/y41101-jun24-02-qp.webp?v=3)
![June 2023 Mechanics Minor, question 1: (a) State the dimensions of the following quantities. • Force • Velocity • Density [3] A student investigating the drag force F experienced by an object moving](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/y43101-jun23-01-qp.webp?v=3)
![June 2022 Mechanics Minor, question 1: - . 10 11 - N m2 kg 2 1 Newton’s gravitational constant, G, is approximately .6 67 # (a) Find the dimensions of G. [2] The escape velocity, v, of a body from a](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/y43101-jun22-01-qp.webp?v=3)
![November 2021 Mechanics Major, question 6: (a) Write down the dimensions of force. [1] The force F of gravitational attraction between two objects with masses m1 and m2 at a distance d , apart, is given](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/y42101-nov21-06-qp.webp?v=3)
![November 2021 Mechanics Minor, question 1: (a) State the dimensions of force. [1] The force F required to keep a car moving at constant speed on a circular track is given by the formula mv2 F , = r where](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/y43101-nov21-01-qp.webp?v=3)
![November 2021 AS Mechanics A, question 1: The specific energy of a substance has SI unit Jkg 1 1 - (joule per kilogram). (a) Determine the dimensions of specific energy. [2] A particular brand of protei](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/y41101-nov21-01-qp.webp?v=3)
All 23 questions on Dimensional analysis, as a list
- June 2025, Mechanics Major, Q5 (8 marks): ; E. ; E r d r 5 In this question you may assume that if r and s are any physical quantities then d = s s You may also assume that all given numerical constants
- June 2025, Mechanics Major, Q8 (8 marks): A box of mass m kg rests on a horizontal platform. The platform moves vertically with simple harmonic motion of period T seconds and amplitude a m. At time t se
- June 2025, Mechanics Minor, Q2 (10 marks): (a) (i) State the dimensions of force. [1] (ii) State the dimensions of energy. [1] The surface tension, S, of a liquid can be defined as force per unit length.
- June 2025, AS Mechanics A, Q1 (4 marks): A system consists of an object performing oscillations whilst suspended at the end of a spring S. The period, t, is defined as the time taken for the object to
- June 2024, Mechanics Major, Q2 (9 marks): One end of a light spring is attached to a fixed point. A mass of 2 kg is attached to the other end of the spring. The spring hangs vertically in equilibrium. T
- 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, Q2 (8 marks): (a) State the dimensions of force. [1] Use the following metric-imperial conversion factors for the rest of this question. • 1 kg 2 2 . lb ( pounds ) = • 1 m 39
- June 2024, AS Mechanics A, Q2 (11 marks): (a) Find the dimensions of energy. [1] The moment of inertia, I, of a rigid body rotating about a fixed axis is measured in kgm2. (b) State the dimensions of I.
- June 2023, Mechanics Major, Q5 (7 marks): 5 A particle P of mass m kg is projected with speed m s u - along a rough horizontal surface. During the motion of P, a constant frictional force of magnitude F
- June 2023, Mechanics Minor, Q1 (9 marks): (a) State the dimensions of the following quantities. • Force • Velocity • Density [3] A student investigating the drag force F experienced by an object moving
- June 2023, AS Mechanics A, Q3 (9 marks): The time period T of a satellite in circular orbit around a planet satisfies the equation 2 2 3 GMT 4 R , = r where • G is the universal gravitational constant,
- June 2022, Mechanics Major, Q2 (4 marks): v A B h h i O d A particle is projected with speed v from a point O on horizontal ground. The angle of projection is i above the horizontal. The particle passes
- June 2022, Mechanics Minor, Q1 (6 marks): - . 10 11 - N m2 kg 2 1 Newton’s gravitational constant, G, is approximately .6 67 # (a) Find the dimensions of G. [2] The escape velocity, v, of a body from a
- November 2021, Mechanics Major, Q6 (11 marks): (a) Write down the dimensions of force. [1] The force F of gravitational attraction between two objects with masses m1 and m2 at a distance d , apart, is given
- November 2021, Mechanics Minor, Q1 (7 marks): (a) State the dimensions of force. [1] The force F required to keep a car moving at constant speed on a circular track is given by the formula mv2 F , = r where
- November 2021, AS Mechanics A, Q1 (4 marks): The specific energy of a substance has SI unit Jkg 1 1 - (joule per kilogram). (a) Determine the dimensions of specific energy. [2] A particular brand of protei
- November 2020, Mechanics Major, Q2 (5 marks): A student conducts an experiment by first stretching a length of wire and fixing its ends. The student then plucks the wire causing it to vibrate. The frequency
- November 2020, Mechanics Minor, Q2 (7 marks): The speed of propagation, c, of a soundwave travelling in air is given by the formula c kp d , a b = where • p is the air pressure, • d is the air density, • k
- November 2020, AS Mechanics A, Q2 (8 marks): George is investigating the time it takes for a ball to reach a certain height when projected vertically upwards. George believes that the time, t, for the ball
- June 2019, Mechanics Major, Q2 (4 marks): The Reynolds number, R, is an important dimensionless quantity in fluid dynamics; it can be used to predict flow patterns when a fluid is in motion relative to
- June 2019, Mechanics Minor, Q2 (8 marks): (a) Write down the dimensions of pressure. [1] The SI unit of pressure is the pascal (Pa). 15 Pa is equivalent to Q newtons per square centimetre. (b) Find the
- June 2019, AS Mechanics A, Q2 (12 marks): The surface tension of a liquid allows a metal needle to be at rest on the surface of the liquid. The greatest mass m of a needle of length l which can be suppo
- June 2018, AS Mechanics A, Q3 (9 marks): Jodie is doing an experiment involving a simple pendulum. The pendulum consists of a small object tied to one end of a piece of string. The other end of the str
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