Salam Academy
Paper 2 · Module

Physical quantities and units

3 subtopics≈ 95 min in total
  1. SI units, prefixes and estimates

    Every quantity has a magnitude and a unit. All SI units are built from six base units (kg, m, s, A, K, mol) used in this course. Writing a derived unit in base units lets you check whether an equation is homogeneous. Prefixes and powers of ten keep numbers manageable, and good physicists can estimate any everyday quantity to the right order of magnitude.

    ≈ 30 min
  2. Errors and uncertainties

    Random errors scatter readings either side of the true value and are reduced by repeating and averaging. Systematic errors shift every reading the same way and aren't reduced by repeating. Precise readings agree with each other; accurate ones are close to the true value. When quantities are added or subtracted, add absolute uncertainties; when multiplied or divided, add percentage uncertainties; for a power, multiply the percentage by the power.

    ≈ 35 min
  3. Scalars and vectors

    Scalars have magnitude only; vectors have magnitude and direction. Vectors add tip-to-tail; for two at right angles use Pythagoras and trigonometry, and for other angles use a scale drawing or the cosine rule. Any vector can be resolved into two perpendicular components: Fcos⁡θF\cos\theta along the reference direction and Fsin⁡θF\sin\theta perpendicular to it.

    ≈ 30 min