E.29.03. Relativity Practice Problems

Two spaceships pass each
other in opposite directions. the speed of spaceship B as measured by a
passenger in spaceship A is 0.6c. The passenger in B measures spaceship
B to be 30 m long while measuring spaceship A to be 20 m long.

What are the lengths of the two
spacecraft as measured by a passenger in spaceship A?

The two spacecraft cease their
relative motion and passengers A and B meet for lunch. Whose
spacecraft takes up more space in the parking lot?

How long would observer A say that it
takes B's spaceship to pass her?

How long would observer B say that it
takes A's spaceship to pass him?

A 100m train travels at a speed of 60
mi/hr. By what factor will a car stopped at the railroad crossing
measure the train length to be longer or shorter?

At Fermilab in Illinois, protons are
accelerated to such speeds that gamma is approximately 200. The
particles move in a circular path (due to magnetic fields) of radius 1
km.

Find v/c for the protons.

How much time will a round trip take
for a lab scientist?

How much time will round trip take for
a proton?
