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A-LevelMathematicsMechanics9709/41 · May/June 2017 · Q13 Marks

A particle of mass 0.6 kg is dropped from a height of 8 m above the ground. The speed of the particle at the instant before hitting the ground is 10 m s⁻¹. Find the work done against air resistance.

  1. A particle of mass 0.6 kg is dropped from a height of 8 m above the ground. The speed of the particle at the instant before hitting the ground is 10 m s⁻¹. Find the work done against air resistance.[3]

Mark scheme

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

  1. PE loss = 0.6 × 10 × 8 [= 48]
  2. KE gain = ½ (0.6) 10² [= 30]
  3. WD against Res = 48 – 30 = 18 J

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About this question

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

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