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SI Units  ,[object Object],Physics 131 - Physics for Health, Life and Environmental Sciences  Diameter of a nucleus:  1x 10 -14  m Diameter of an atom:  1x 10 -10  m Length of an average cell:  1x 10 -5  m Length of a car:  4 m Football Field:  9x 10 1  m Avg. distance of the earth to the moon:  3.84x 10 8  m Abdul Mirza CENTRE FOR QUANTUM TECHNOLOGY, SCHOOL OF PHYSICS, UKZN
SI Units  ,[object Object],Physics 131 - Physics for Health, Life and Environmental Sciences  Electron:  9.1x 10 -31  kg Mosquitoe:  1x 10 -5  kg Human:  1x 10 2  kg Elephant:  5x 10 3  kg Earth:  5.98x 10 24  kg Abdul Mirza CENTRE FOR QUANTUM TECHNOLOGY, SCHOOL OF PHYSICS, UKZN
SI Units  ,[object Object],Physics 131 - Physics for Health, Life and Environmental Sciences  Duration of a nuclear collision:  1x 10 -22  s Reaction time of humans:  2x 10 -1  s Time difference between 1 st  and 2 nd  position at indycar race: 1.4 s (difference in price money: $650 000) 1 year:  3.2x 10 7  s Calculated age of the universe:  5x 10 17  s Abdul Mirza CENTRE FOR QUANTUM TECHNOLOGY, SCHOOL OF PHYSICS, UKZN
Unit Conversions  ,[object Object],[object Object],[object Object],Physics 131 - Physics for Health, Life and Environmental Sciences  Abdul Mirza CENTRE FOR QUANTUM TECHNOLOGY, SCHOOL OF PHYSICS, UKZN
Types of Quantities  ,[object Object],[object Object],Physics 131 - Physics for Health, Life and Environmental Sciences  No. of seats Distance travelled Speed Height Length Temperature All these quantities just have a magnitude - Scalars Abdul Mirza CENTRE FOR QUANTUM TECHNOLOGY, SCHOOL OF PHYSICS, UKZN
Types of Quantities  ,[object Object],Physics 131 - Physics for Health, Life and Environmental Sciences  Speed in a particular direction ‘ Distance’ covered from a certain point Air friction against motion of car Velocity Drag Force Displacement The above quantities, together with a magnitude, act or have acted in a specific direction. Abdul Mirza CENTRE FOR QUANTUM TECHNOLOGY, SCHOOL OF PHYSICS, UKZN
Scalars vs. Vectors  Physics 131 - Physics for Health, Life and Environmental Sciences  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Abdul Mirza CENTRE FOR QUANTUM TECHNOLOGY, SCHOOL OF PHYSICS, UKZN
Vectors Physics 131 - Physics for Health, Life and Environmental Sciences  ,[object Object],[object Object],[object Object],[object Object],y-axis z-axis x-axis Each axis has a basic vector from which all others can be constructed:  Basis Vectors x axis,  i  vector: (1,0,0) z axis,  k  vector: (0,0,1) y axis,  j  vector: (0,1,0) | i | = | j | = | k | = 1 Abdul Mirza CENTRE FOR QUANTUM TECHNOLOGY, SCHOOL OF PHYSICS, UKZN
Vectors  Physics 131 - Physics for Health, Life and Environmental Sciences  Vectors by convention always start at the origin The yellow vector,  r , can be written as the sum of all the smaller base vectors: r   = 2 i  + 3 j  + 6 k = (2,3,6) ,[object Object],[object Object],[object Object],[object Object],Abdul Mirza CENTRE FOR QUANTUM TECHNOLOGY, SCHOOL OF PHYSICS, UKZN
Vectors  Physics 131 - Physics for Health, Life and Environmental Sciences  To calculate the magnitude of a vector, one uses Pythagoras: Construct the vector,  R  = (x,y): R  = (3,9) R  = (-2,4) R  = 6 i  -1 j What is the magnitude and direction of each vector? x R y Abdul Mirza CENTRE FOR QUANTUM TECHNOLOGY, SCHOOL OF PHYSICS, UKZN
Components of Vectors  Physics 131 - Physics for Health, Life and Environmental Sciences  To calculate the components of a vector, one uses trig rules: x  =  R cos θ y  =  R sin θ x R y θ Abdul Mirza CENTRE FOR QUANTUM TECHNOLOGY, SCHOOL OF PHYSICS, UKZN
Mathematics of Vectors  ,[object Object],[object Object],[object Object],[object Object],Physics 131 - Physics for Health, Life and Environmental Sciences  Abdul Mirza CENTRE FOR QUANTUM TECHNOLOGY, SCHOOL OF PHYSICS, UKZN

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SI Units and Vectors Explained

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  • 10. Vectors Physics 131 - Physics for Health, Life and Environmental Sciences To calculate the magnitude of a vector, one uses Pythagoras: Construct the vector, R = (x,y): R = (3,9) R = (-2,4) R = 6 i -1 j What is the magnitude and direction of each vector? x R y Abdul Mirza CENTRE FOR QUANTUM TECHNOLOGY, SCHOOL OF PHYSICS, UKZN
  • 11. Components of Vectors Physics 131 - Physics for Health, Life and Environmental Sciences To calculate the components of a vector, one uses trig rules: x = R cos θ y = R sin θ x R y θ Abdul Mirza CENTRE FOR QUANTUM TECHNOLOGY, SCHOOL OF PHYSICS, UKZN
  • 12.