Question a.)

A football has a diameter of 22cm. If the ball is travelling at a speed of 0.982c relative to the Earth, what is the length of it's smallest dimension as measured on the Earth? Use cm as the unit and give units.

Question b.)

A spaceship communicates with the Earth via 75 MHz radio waves. If the spaceship is traveling away from the Earth at a speed of 0.958c, what frequency should a receiver be tuned to on the Earth?

Question c.)

A specific spectral line from a distant galaxy has been red shifted from a wavelength of 450 nm to 851 nm. At what speed (as a fraction of c) is the galaxy receding from the Earth? No units are needed.

Question d.)

In a nuclear weapon, approximately 0.073% of the mass of a material is converted into energy. If there are 2.1 kgs of fissionable material in a nuclear weapon, how much energy is released? Use MJ (mega joules) as your unit.

Question e.)

Light of a single colour (single wavelength and frequency) is emitted from a spaceship that is stationary relative to the Earth. If the spaceship were to blast off, racing away from Earth at high speed, the light emitted from the spaceship would be observed on the Earth as now having

a.a higher frequency and longer wavelength

b.a lower frequency and longer wavelength

c.a higher frequency and shorter wavelength

d.a lower frequency and shorter wavelength

e.the same frequency and wavelength