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A-LevelMathematicsMechanics9709/43 · May/June 2021 · Q14 Marks

Particles P of mass 0.4 kg and Q of mass 0.5 kg are free to move on a smooth horizontal plane. P and Q are moving directly towards each other with speeds 2.5 ms⁻¹ and 1.5 ms⁻¹ respectively. After P and Q collide, the speed of Q is twice the speed of P. Find the two possible values of the speed of P after the collision.

  1. Find the two possible values of the speed of P after the collision.[4]

Mark scheme

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

  1. [M1] Attempt momentum before impact.
  2. [M1] Use of conservation of momentum, either case.
  3. [A1] One correct equation
  4. [A1] Both values

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, May/June 2021 Paper 4 Variant 3, question 1.

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