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A-LevelPhysicsDynamics9702/21 · Oct/Nov 2021 · Q211 Marks

(b) Two balls X and Y, of equal diameter but different masses 0.24kg and 0.12kg respectively, slide towards each other on a frictionless horizontal surface, as shown in [Fig. 2.1]. Both balls have initial speed 2.3ms⁻¹ before they collide with each other. [Fig. 2.2] shows the variation with time t of the force Fy exerted on ball Y by ball X during the collision.

  1. (a)Define momentum.[1]
  2. (b)(i)Calculate the kinetic energy of ball X before the collision.[3]
  3. (b)(ii)The area enclosed by the lines and the time axis in [Fig. 2.2] represents the change in momentum of ball Y during the collision. Determine the magnitude of the change in momentum of ball Y.[2]
  4. (b)(iii)Calculate the magnitude of the velocity of ball Y after the collision.[2]
  5. (c)On [Fig. 2.3], sketch the variation with time t of the force Fx exerted on ball X by ball Y during the collision in (b).[3]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.

  1. [B1] mass × velocity
  2. [C1] kinetic energy = ½mv²
  3. [C1] = ½ × 0.24 × 2.3²
  4. [A1] = 0.63 J
  5. [C1] change in momentum = ½ × 240 × 5.0 × 10⁻³
  6. [A1] = 0.60 N s
  7. [C1] (change in velocity of Y) = 0.60/0.12
  8. [A1] = 2.7 m s⁻¹
  9. [C1] (final momentum of Y) = 0.60 – 0.12 × 2.3
  10. [A1] final velocity of Y = 0.324/0.12
  11. [B1] sloping straight line from (0, 0) to t = 3.0ms and another straight line continuous with the first from t = 3.0ms to (5.0, 0)
  12. [B1] lines showing maximum force of magnitude 240 N
  13. [B1] lines wholly in the negative F region of the graph

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About this question

Topic
Dynamics, A-Level Physics (syllabus 9702). Structured question, 11 marks.
Source
A-Level Physics, Oct/Nov 2021 Paper 2 Variant 1, question 2.

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