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Physical Quantities and Units

Physical quantities, estimation and unit conversions

  • 2 things to know
  • All three papers

Overview

Recall questions on the numerical value and unit of a physical quantity, order-of-magnitude estimates and their assumptions, and converting squared and cubed units with prefixes.

What you need to know

Answer each one before you reveal it.

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Key term

What are the two parts that make up any physical quantity?

Key term

Explain the general principle for converting a unit with a prefix when the unit is squared.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What are the two parts that make up any physical quantity?

    Model answer

    A numerical value and a unit.

  2. 2

    In the expression '9.81 m s⁻²', which part is the numerical value?

    Model answer

    9.81

  3. 3

    In the expression '9.81 m s⁻²', which part is the unit?

    Model answer

    m s⁻²

  4. 4

    When estimating a physical quantity, to what level of precision should the estimate typically be expressed?

    Model answer

    To an appropriate order of magnitude (power of ten).

  5. 5

    Why are reasonable assumptions important when making order-of-magnitude estimates?

    Model answer

    They allow sensible approximations of unknown values, enabling a realistic estimate of the final quantity.

  6. 6

    When converting cm³ to m³, why must the conversion factor be cubed?

    Model answer

    Because each linear dimension is converted (1 cm = 10⁻² m), and volume involves three dimensions, so the factor becomes (10⁻²)³ = 10⁻⁶.

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Practical Skills in the Written Papers
The Practical Endorsement
Physical Quantities and Units
Making Measurements and Analysing Data

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A wave.
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AForce is a vector quantity.
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Density means mass per unit volume.
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