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A-LevelPhysicsForces, density and pressure9702/23 · May/June 2019 · Q37 Marks

A cylindrical disc of mass 0.24 kg has a circular cross-sectional area A, as shown in Fig. 3.1. [Figure 3.1 and Figure 3.2] The disc is on horizontal ground, as shown in Fig. 3.2. A force X of magnitude 8.9 N acts on the disc in a direction of 30° to the horizontal. The disc moves at a constant speed of 0.60 m s⁻¹ along the ground.

  1. (a)Determine the rate of doing work on the disc by the force X. rate of doing work = ............................................................ W [2][2]
  2. (b)The force X and the weight of the disc exert a combined pressure on the ground of 3500 Pa. Calculate the cross-sectional area A of the disc. A = ................................................................. m² [3][3]
  3. (c)Newton's third law describes how forces exist in pairs. One such pair of forces is the weight of the disc and another force Y. State:
  4. (c)(i)the direction of force Y ......................................................................................................................................... [1][1]
  5. (c)(ii)the name of the body on which force Y acts. ......................................................................................................................................... [1][1]

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Mark scheme

Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.

  1. [C1] P = 8.9 cos 30° x 0.60
  2. [A1] = 4.6 W
  3. [C1] p = F/A
  4. [C1] F = 8.9 sin 30° + (0.24 × 9.81)
  5. [A1] A = 6.80/3500 = 1.9 x 10⁻³ m²
  6. [B1] upwards/up
  7. [B1] the Earth/planet

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About this question

Topic
Forces, density and pressure, A-Level Physics (syllabus 9702). Structured question, 7 marks.
Source
A-Level Physics, May/June 2019 Paper 2 Variant 3, question 3.

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