Mathematics · Pearson Edexcel 9MA0 · Topic 6

Quantities and units in mechanics

SI units for mechanics and converting between them.

  • 1 sub-topic
  • Taught in Year 12
  • 18 practice questions
  • 1 animated lesson

What the specification says

Every sub-topic Pearson Edexcel can examine in this topic, with its reference number from the official specification. The Y12 and Y13 tags show when each sub-topic is usually taught.

  1. 6.1SI quantities and unitsY12

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Easy, medium and hard questions from this topic, each with a worked solutions and the mark for every step. All 18 questions in this topic, free, no account needed.

Quantities and units in mechanics

Easy

SI units · Year 12 · 3 marks

  1. Give the SI units of force, velocity and acceleration.
    (3)
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  1. Force: newtons, N
  2. Velocity: m s⁻¹
  3. Acceleration: m s⁻²

Total3

  • MMethod mark: for a correct method, even with a slip.
  • AAccuracy mark: for a correct answer from a correct method.
  • BIndependent mark: for a correct fact or result on its own, with no method needed.
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Quantities and units in mechanics

Medium

Converting density · Year 12 · 2 marks

  1. Aluminium has density 2.7 g cm⁻³. Convert this to kg m⁻³.
    (2)
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  1. g to kg: ÷ 1000. There are 1003100^3 cm³ in 1 m³.2.7×11000×10032.7 \times \dfrac{1}{1000} \times 100^3
  2. =2700= 2700 kg m⁻³

Total2

  • MMethod mark: for a correct method, even with a slip.
  • AAccuracy mark: for a correct answer from a correct method.
  • BIndependent mark: for a correct fact or result on its own, with no method needed.
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Quantities and units in mechanics

Hard

Questioning a model · Year 12 · 4 marks

A cyclist is modelled as a particle with no air resistance to predict their stopping distance.
  1. Explain how each simplification affects the prediction, and whether it makes the model more or less safe to rely on.
    (4)
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  1. Ignoring air resistance: in reality it helps slow the cyclist
  2. An overestimate is the cautious direction.so the model overestimates the stopping distance
  3. As a particle, the bike's size and the rider's reaction time are ignored
  4. Reaction time adds distance, so in that respect the model underestimates

Total4

  • MMethod mark: for a correct method, even with a slip.
  • AAccuracy mark: for a correct answer from a correct method.
  • BIndependent mark: for a correct fact or result on its own, with no method needed.
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