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A-LevelMathematicsMechanics9709/43 · May/June 2017 · Q15 Marks

A man pushes a wheelbarrow of mass 25 kg along a horizontal road with a constant force of magnitude 35 N at an angle of 20° below the horizontal. There is a constant resistance to motion of 15 N. The wheelbarrow moves a distance of 12 m from rest.

  1. (i)Find the work done by the man.[2]
  2. (ii)Find the speed attained by the wheelbarrow after 12 m.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.

  1. M1 Uses WD = Fd cos 0
  2. A1 395 J
  3. (B1 WD against resistance = 15 × 12
  4. M1 Uses WDman = WDresistance + KE gain
  5. A1) v = 4.14 ms⁻¹
  6. (B1 Applies Newton's Second Law
  7. M1 Uses v² = u² + 2as
  8. A1) v = 4.14 ms⁻¹

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, May/June 2017 Paper 4 Variant 3, question 1.

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