plumiDimensional analysis: OCR A‑Level Further Maths questions
Every OCR 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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All 15 questions on Dimensional analysis, as a list
- June 2025, Mechanics, Q2 (6 marks): Dynamic viscosity is a physical property of liquids and is denoted by h. The units of h are Ns /m2. (a) Determine the dimensions of h. [3] Kinematic viscosity i
- June 2025, AS Mechanics, Q5 (9 marks): One end of a light inextensible string of length d m is attached to a particle B of mass m kg. The other end of the string is attached to a fixed point O on a s
- June 2024, Mechanics, Q5 (6 marks): ; E. ; d y E y 5 In this question you may assume that if x and y are any physical quantities then = x d x A machine drives a piston of mass m into a vertical cy
- June 2024, AS Mechanics, Q3 (8 marks): A small object P of mass m is suspended from a fixed point by a light inextensible string of length l. When P is displaced and released in a certain way, it osc
- June 2023, Mechanics, Q2 (11 marks): Materials have a measurable property known as the Young’s Modulus, E. If a force is applied to one face of a block of the material then the material is stretche
- June 2023, AS Mechanics, Q6 (10 marks): F 6 The physical quantity pressure, denoted by P, can be calculated using the formula P where F = A is a force and A is an area. (a) Find the dimensions of P. [
- June 2022, Mechanics, Q4 (8 marks): When two objects are placed a distance apart in outer space each applies a gravitational force to the other. It is suggested that the magnitude of this force de
- June 2022, AS Mechanics, Q6 (10 marks): A particle moves in a straight line with constant acceleration a. Its initial velocity is u and at time t its velocity is v. It is assumed that v depends only o
- November 2021, Mechanics, Q3 (8 marks): A particle P of mass m moves on the x-axis under the action of a force F directed along the axis. When the displacement of P from the origin is x its velocity i
- November 2021, AS Mechanics, Q5 (10 marks): The escape speed of an unpowered object is the minimum speed at which it must be projected to escape the gravitational influence of the Earth if it is projected
- November 2020, Mechanics, Q4 (15 marks): The resistive force, F, on a sphere falling through a viscous fluid is thought to depend on the radius of the sphere, r, the velocity of the sphere, v, and the
- November 2020, AS Mechanics, Q5 (9 marks): A particle of mass m moves in a straight line with constant acceleration a. Its initial and final velocities are u and v respectively and its final displacement
- June 2019, Mechanics, Q2 (10 marks): A solenoid is a device formed by winding a wire tightly around a hollow cylinder so that the wire forms (approximately) circular loops along the cylinder (see d
- June 2019, AS Mechanics, Q4 (11 marks): A student is studying the speed of sound, u, in a gas under different conditions. He assumes that u depends on the pressure, p, of the gas, the density, t, of t
- June 2018, AS Mechanics, Q3 (8 marks): A particle moves in a straight line with constant acceleration. Its initial and final velocities are u and v respectively and at time t its displacement from it
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