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A-LevelMathematicsMechanics9709/52 · May/June 2019 · Q35 Marks

A particle P of mass 0.4 kg is attached to a fixed point A by a light inextensible string of length 0.5 m. The point A is 0.3 m above a smooth horizontal surface. The particle P moves in a horizontal circle on the surface with constant angular speed 5 rad s⁻¹.

  1. (i)Calculate the tension in the string.[3]
  2. (ii)Find the magnitude of the force exerted by the surface on P.[2]

Mark scheme

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

  1. [B1] Use Pythagoras's theorem
  2. [M1] Use Newton's Second Law
  3. [A1]
  4. [M1] Resolve vertically. Allow for their T for M1
  5. [A1]

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, May/June 2019 Paper 5 Variant 2, question 3.

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