The relativistic factor ( used in conjunction with the Lorentz ...

[crazycityslicker]

The relativistic factor ( used in conjunction with the Lorentz transformation provides that
  A.an object of length L measured in a frame at rest is measured to be L when that object is moving with respect to the rest frame.
  B.if two frames are aligned at t = t' = 0 but the 'primed' frame moves at some constant velocity, an interval of time t in the rest frame will be measured as a time t/ in the moving frame.
  C.increased velocities decrease the value of
  D.a particle moving faster than the speed of light gives an imaginary relativistic factor.

Question 2

Samus is exploring the planet Zebes in the star system Metroid Prime (where the laws of physics are the same as on Earth and in our universe) in a ship moving at constant velocity. She turns on her headlamps as she encounters some strange fog. Ridley, the villain lying in wait, is at rest with respect to Samus. The speed of the light from Samus's headlamps as measured by Ridley depends most importantly on
 

the speed of Samus's ship
  the speed of light in the fog
  the speed of Samus with respect to the ether
  the total addition of speeds of Samus's ship, the planet Zebes, and the system Metroid Prime
  the speed of light in a vacuum

[epscape]

Answer to Question 1

D.
The relativistic factor depends on one over the square root of one minus the velocity squared over the speed of light squared, so as velocity approaches and passes the speed of light, the factor approaches infinity and then becomes imaginary.

Answer to Question 2

The speed of propagation of any wave through a medium depends most importantly on the medium itself. All observers measure the speed of light to be the same in inertial frames, and since both Samus and Ridley are in the same medium, they should measure the same speed of light.

[crazycityslicker]

Both answers were spot on, thank you once again

[epscape]

Great! Please up vote