Wednesday, March 5, 2008

Announcements:

Assignments:

Chapter 9 - Electromagnetic Radiation

Spectroscopy - can you identify the elements?

Chapter 10 - Special Relativity

Special relativity deals with inertial frames of reference (a = 0) .  Simulation program: Warp
General relativity (a <> 0)
    Examples of inertial and non-inertial reference frames:  a) space ship traveling in a straight line, b) space shuttle in orbit, c) this classroom
Consequences of Special Relativity:  As v -> c, several physical parameters change by factor of gamma = 1/sqrt(1-v^2/c^2)
    Ponderable:  What are "relativistic" speeds?  (see table below)
Time dilates:  t = to*gamma
Length contracts:  L = Lo/gamma
Mass increases:  m = mo*gamma
Relativistic energy:  E = mc^2 = gamma*Eo
Relativistic KE:  K = Eo*gamma - Eo
General relativity: 
    All physical experiments yield identical results in an accelerated reference frame as they do in a gravitational field.
Black holes:  Light cannot escape a star with a radius less than or equal to the Schwarzschild radius:  R = 2GM/c^2

Step by Step into a Black Hole - Simulated views of a black hole.

Interactive Black Hole Simulation

Ponderable:  If an astronaut travels 1 ly at 0.9c, why is t <> to*gamma?

          v/c     1/gamma     gamma



0.1 0.995 1.005
0.15 0.989 1.011
0.2 0.980 1.021
0.3 0.954 1.048
0.4 0.917 1.091
0.5 0.866 1.155
0.6 0.800 1.250
0.7 0.714 1.400
0.8 0.600 1.667
0.9 0.436 2.294
1 0.000 #DIV/0!
1.1 #NUM! #NUM!