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A-LevelMathematicsMechanics9709/43 · May/June 2020 · Q13 Marks

Particles P of mass mkg and Q of mass 0.2 kg are free to move on a smooth horizontal plane. P is projected at a speed of 2ms⁻¹ towards Q which is stationary. After the collision P and Q move in opposite directions with speeds of 0.5 m s⁻¹ and 1 m s⁻¹ respectively.

  1. Find m.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.

  1. [M1] Use of conservation of momentum
  2. [A1] m × 2 + 0 = m × (-0.5) + 0.2 × 1
  3. [A1] m = 0.08

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 3 marks.
Source
A-Level Mathematics, May/June 2020 Paper 4 Variant 3, question 1.

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