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A-LevelMathematicsMechanics9709/43 · Oct/Nov 2018 · Q25 Marks

A block is pushed along a horizontal floor by a force of magnitude 50N which acts at an angle of 20° to the horizontal (see diagram). The coefficient of friction between the block and the floor is 0.3. Given that the speed of the block is constant, find the mass of the block.

  1. (a)Find the mass of the block.[5]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.

  1. [B1] R = mg + 50sin20
  2. [M1] Use of F = μR
  3. [M1] Resolving horizontally
  4. [A1ft] ft R (R containing term in m)
  5. [A1] m = 14.0kg (13.9514...)

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, Oct/Nov 2018 Paper 4 Variant 3, question 2.

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