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Mechanics

Quick questions on Quantities and units in mechanics: SI units, scalars, vectors and modelling - Edexcel A-Level Maths

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What are deriving units?
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Every derived unit can be built from the base units by replacing each quantity with its unit. Velocity is displacement over time, so its unit is ms=m s1\dfrac{\text{m}}{\text{s}} = \text{m s}^{-1}. Acceleration is the rate of change of velocity, giving m s1s=m s2\dfrac{\text{m s}^{-1}}{\text{s}} = \text{m s}^{-2}. Force is mass times acceleration, so kg×m s2=kg m s2\text{kg} \times \text{m s}^{-2} = \text{kg m s}^{-2}, which is given the name newton.
What is q1?
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State the SI unit of force and express it in base units. [2 marks]
What is q2?
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Classify each as scalar or vector: speed, displacement, mass, acceleration. [2 marks]

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