Lecture 2 homework:

  1. [1 point] Analysis.  In terms of the fundamental physical quantities L (length), M (mass), T (time), and Q (charge), what physical dimensions does inductance have?  Simplify your answer as much as possible.  Show explicitly how you derived your answer.
  2. [1 point each] Analysis.  Go through a physics textbook and look for other defined quantities (example: magnetic field strength, fluid viscosity) not already discussed in lecture.  Express the dimensions of these quantities in terms of the fundamental quantities LMTQ.  Max points: 5
  3. [5 points] Small computational project.  Teach yourself to use the unit-conversion capabilities of either emacs calc (my personal old standby; type M-x calc in emacs at CISE, or see http://www.synaptics.com/people/daveg/ to install) or Mathematica, or some other math package.  Turn in a printout of a log that shows you interacting with whichever math system, and doing 10 unit conversions, of your own choosing.  (Each should involve different units.)
  4. [1 point] Exercise.  Look up Newton's Laws of classical mechanics in a physics textbook or on the web, and write them up on paper, in your own handwriting. 
  5. [5 points] Analysis. Determine the definitions and calculate the values in SI units of the Planck units of all the derived quantities in slide 5 ("Some derived quantities") of the module 2 slides.