plumiDimensional analysis: AQA A‑Level Further Maths questions
Every AQA A-Level Further Maths exam question on MA Dimensional analysis, 2019–2025, with its mark scheme and examiner’s report.
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All 17 questions on Dimensional analysis, as a list
- June 2025, Paper 3 Mechanics, Q6 (3 marks): A bead of mass m kg moves on a smooth horizontal wire through a fluid which has density ρ kg m–3 A possible model for the acceleration, a m s–2, of the bead whe
- June 2025, AS Paper 2 Mechanics, Q2 (1 mark): 2_ State the dimensions of power. _ Circle your answer. [1 mark] _ ML2T ML2T –1 ML2T –2 ML2T –3
- June 2025, AS Paper 2 Mechanics, Q6 (4 marks): 6_ A ball of mass m is thrown vertically upwards with initial speed u _ The ball travels a vertical distance h before instantaneously coming to rest. _ It is th
- June 2024, Paper 3 Mechanics, Q5 (4 marks): When a sphere of radius r metres is falling at v m s–1 it experiences an air resistance force F newtons. The force is to be modelled as F = krαvβ where k is a c
- June 2024, AS Paper 2 Mechanics, Q2 (1 mark): State the dimensions of impulse. Circle your answer. [1 mark] MLT –2 MLT –1 MLT MLT 2
- June 2024, AS Paper 2 Mechanics, Q6 (4 marks): Kepler’s Third Law of planetary motion for the period of a circular orbit around the Earth is given by the formula, t = 2π√ r 3 Gm where, t is the time taken fo
- June 2023, Paper 3 Mechanics, Q1 (1 mark): State the dimensions of power. Circle your answer. [1 mark] ML2T −3 ML3T −3 ML3T −2 ML2T −2
- June 2023, AS Paper 2 Mechanics, Q6 (4 marks): A ball is thrown with speed u at an angle of 45° to the horizontal from a point O When the horizontal displacement of the ball is x, the vertical displacement o
- June 2022, Paper 3 Mechanics, Q4 (5 marks): (a) State the dimensions of force. [1 mark] 4 (b) The velocity of an object in a circular orbit can be calculated using the formula v = Gambrc where: G = Univer
- June 2022, AS Paper 2 Mechanics, Q4 (5 marks): Wavelength is defined as the distance from the highest point on one wave to the highest point on the next wave. Surfers classify waves into one of several types
- November 2021, Paper 3 Mechanics, Q4 (4 marks): A spring has stiffness k 4 (a) Determine the dimensions of k [1 mark] 4 (b) One end of the spring is attached to a fixed point. A particle of mass m kg is attac
- November 2021, AS Paper 2 Mechanics, Q2 (1 mark): State the dimensions of force. Circle your answer. [1 mark] MLT ML2T MLT −1 MLT −2
- November 2021, AS Paper 2 Mechanics, Q5 (4 marks): A ball is thrown vertically upwards with speed u so that at time t its displacement s is given by the formula s = ut − gt2 2 Use dimensional analysis to show th
- November 2020, Paper 3 Mechanics, Q3 (2 marks): The speed, v, of a particle moving in a horizontal circle is given by the formula v = ro where: v = speed r = radius o = angular speed. Show that the dimensions
- November 2020, AS Paper 2 Mechanics, Q6 (5 marks): The magnitude of the gravitational force F between two planets of masses m1 and m2 with centres at a distance d apart is given by F = Gm1m2 d 2 where G is a con
- June 2019, Paper 3 Mechanics, Q3 (3 marks): A disc, of mass m and radius r, rotates about an axis through its centre, perpendicular to the plane face of the disc. The angular speed of the disc is o. A pos
- June 2019, AS Paper 2 Mechanics, Q3 (3 marks): A formula for the elastic potential energy, E, stored in a stretched spring is given by E = kx2 2 where x is the extension of the spring and k is a constant. Us
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