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A-LevelMathematicsMechanics9709/43 · May/June 2024 · Q13 Marks

Two particles P and Q of masses 0.2 kg and 0.5 kg respectively are at rest on a smooth horizontal plane. Particle P is projected with a speed 6ms⁻¹ directly towards Q. After P and Q collide, P moves with a speed of 1 ms⁻¹.

  1. Find the two possible speeds of Q after the collision.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.

  1. [M1] For attempt at use of conservation of momentum in at least one case. Must have three non-zero terms. Allow sign errors. Must have correct masses with relevant velocities. Their v may be in opposite direction.
  2. [A1] Do not allow negative.
  3. [A1] OF Do not allow negative.

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 3 marks.
Source
A-Level Mathematics, May/June 2024 Paper 4 Variant 3, question 1.

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