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Working as a Physicist

SI base units, derived units and homogeneity

  • 3 things to know
  • Papers 1, 2 and 3

Overview

Recall questions on the six base quantities, how a derived unit is built from them, and why a homogeneity check can rule an equation out but never prove it right.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

What is a derived quantity, and what are the newton and the joule in SI base units?

Numbers

What are the watt, the pascal and the spring constant expressed in SI base units?

Numbers

What are the base units of density, how is v² = u² + 2as shown to be homogeneous, and what can a homogeneity check not prove?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is meant by a base quantity?

    Model answer

    A base quantity is one of the small set of independently defined physical quantities from which every other physical quantity can be built.

  2. 2

    Which six SI base quantities are used in physics at this level, and what is the SI unit of each?

    Model answer

    Mass in kilograms (kg), length in metres (m), time in seconds (s), electric current in amperes (A), thermodynamic temperature in kelvin (K) and amount of substance in moles (mol).

  3. 3

    What makes a quantity a derived quantity?

    Model answer

    A derived quantity is defined by a combination of base quantities, so its unit is a product or quotient of base units.

  4. 4

    What is the newton expressed in SI base units?

    Model answer

    Since force is mass times acceleration, 1 N = 1 kg m s⁻².

  5. 5

    What is the joule expressed in SI base units?

    Model answer

    Since work is force times distance, 1 J = 1 kg m² s⁻².

  6. 6

    What is the watt expressed in SI base units?

    Model answer

    Since power is energy divided by time, 1 W = 1 kg m² s⁻³.

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