Ch. 01 Units, Physical Quantities, and Vectors

Learning Objectives

  1. Be able to convert between SI/non-SI units, and understand how "dimensional analysis" of units is used to check calculations.
  2. Demonstrate mastery of scientific notation, keeping appropriate significant figures in calculations, and determining percent discrepancy.
  3. Be able to graphically add/subtract (two-dimensional) vectors using graph paper and/or a ruler/protractor.
  4. Be able to convert between magnitude/direction and xyxy unit vector components, and master addition/subtraction of vectors using components.

Reading: Sections 1.1-1.9. We will cover vector multiplication later (1.10)
HW: Ch. 01
2, 3, 4, 7, 20, 28, 30, 34, 37, 38, 39

  • Problem-Solving Strategy (ISEE, Identify, Set Up, Execute, Evaluate)
  • International System and the British System (Time, Length, Mass, Unit Prefixes)
  • Uncertainty and significant figures
    • Significant figures
    • the thickness of a book is 2.91 mm. (3 significant figures, the uncertainty is about 0.01 mm)
    • A distance given as 0.250 km. (3 significant figures, the uncertainty is 0.001 km)
  • Vectors and Vector Addition
    • scalar quantity - single number
    • vector quantity - magnitude and direction
      • parallel - same direction and magnitude
      • negative of a vector - (A-\vec A)
      • anti-parallel - opposite direction and same magnitude
      • magnitude of A=A=A\vec{A} = A = |\vec{A}|