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! |