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A-LevelMathematicsMechanics9709/41 · Oct/Nov 2018 · Q14 Marks

A particle of mass 0.2 kg moving in a straight line experiences a constant resistance force of 1.5 N. When the particle is moving at speed 2.5 m s⁻¹, a constant force of magnitude F N is applied to it in the direction in which it is moving. Given that the speed of the particle 5 seconds later is 4.5 m s⁻¹, find the value of F.

  1. (a)A particle of mass 0.2 kg moving in a straight line experiences a constant resistance force of 1.5 N. When the particle is moving at speed 2.5 m s⁻¹, a constant force of magnitude F N is applied to it in the direction in which it is moving. Given that the speed of the particle 5 seconds later is 4.5 m s⁻¹, find the value of F.[4]

Mark scheme

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

  1. [M1] For use of v = u + at
  2. [A1] a = 0.4
  3. [M1] For use of Newton's second law
  4. [A1] F = 1.58

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, Oct/Nov 2018 Paper 4 Variant 1, question 1.

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