PH 310 Relativity Fall 2004
Midterm exam and final exam
Worksheets and homework
Homework for Monday September 6, 2004
HW for Thursday September 9, 2004
HW for Thursday September 16, 2004
- Text problem 1-4, p. 30
- Text problem 1-11, p. 31
HW for Thursday September 23, 2004
- Problems P1, P2, P3 (on attachments in email)
HW for Thursday September 30, 2004
- Obtain equations (3-14) from equations (3-13)
- Problem 3-5
- Problem 3-9
HW for Thursday October 21, 2004
- Prob 3-8 . Use the Minkowski graph I handed out. For x'=1,
ct'= 1, calculate x and ct from LTE and show they are consistent with x
and ct values from your diagram.
- Emailed problem
HW for Thursday October 28
- In a universe where c = 100 m/s, the speed limit is 28 m/s (around
63 mph). A VW beetle is travelling at 25 m/s when it is passed by a Lincoln
Continental. The police officers observing this situation notice that the
observed lengths of the two cars are the same, and they know that the Continental
has a rest length twice that of the VW beetle. They write a ticket for the
Continental at $20 for every m/s over the limit. What is the amount of the
- An electron is travelling in the lab with vx = 0.5 c and vy = 0.3c.
It is being overtaken by a spaceship travelling at v = 0.7 c. Find the velocity
components of the electron as seen by the spaceship.
- The doppler frequency formula for electromagnetic radiation of frequency
fo and received at frequency f by an object moving directly away from the
source of the light is givens by
f = fo sqrt((1-v/c)/(1+v/c)) as indicated in the text on p. 137, Eq. 5-15.
Check this out for a light sosurce emitting a burst of photons once each
second, and a rocket moving away from the source at v = 0.8c. Try starting
the earth and rocket clocks and initializing the coordinate systems when one
burst passes the rocket, then figure out how much time the rocket clock will
elapse until the next burst of photons passes it. This will give you the
apparent frequency as seen on the rocket. [This is an overtaking problem,
where a photon overtakes the moving rocket. When you figure out how long it
will take between overtakings in the lab, you can convert to rocket time.]
- Flash Gordon and Earth are stationary with respect to one another
separated by a distance of 1.2 x 10^10 m.. Two rockets R1 and R2 are moving
together, and at x=x' = 0 = t = t' = 0 rocket R1 passes Earth. At 1.00 minutes
on Flash's clock, Rocket R1 passes Flash. a) What time does R1's clock
read when it passes Flash? When Earth's clock reads 1.00 minutes, rocket
R2 passes Earth. b) What time does R2's clock read when it passes Earth?
- In class, we worked out the fringe shift for the Fizeau experiment.
Use this fringe shift formula and the data given on p. 48 to calculate the
expected fringe shift, based on Einstein's velocity addition formula (it
will be slightly smaller than the experimental value).
HW for November 8, 2004
- Text Prob. 5-11 Neon is an orange-red color, say, around 610
nm. Where is the visible limit of human vision?
- Text Prob 5-12
- Text Prob 5-14
- Text Prob. 6-4
- A beam of protons is accelerated to a high enough energy to create
a minimum of 10 additional protom mass equivalents when striking a stationary
proton target. Find the kinetic energy needed in the lab for the bombarding
- A particle of rest mass 2.50 x 10^-24 kg overtakes an identical particle
and they stick together after the collision. The leading particle travels
at 0.6c while the trailing particle travels at 0.8 c. Find a) the total energy
after the collision, b) the total momentum after the collision, c) the velocity
after the collision, and d) the rest mass after the collision.