Question

1- Establish all the properties oftheLorentz factor y listed in 4 of

Section 7 , Also draw a reasonablyaccurate graph of y against vfor v

between + c and - c,

2- Prove that the temporalorder of two events is the same in all

inertial frames if and only if they canbe joined in one inertialframe by

asignal travelling at or below thespeed of light. illustrate thisresult

on a spacetime diagram.

3- If two events occur at thesametime in some inertial frame S,

prove that there is no limit on thetime separations assigned tothese

events in other frames, but that theirspace separationvaries from

infinity to a minimum which is measuredin S,

Prove that at any instant there is justone plane in S on whichthe

c1ocks of S agree with the clocks ofS', and that this plane moveswith

velocity (e 2 Iv)(1 -l/y), How is thisplane related to the frameS" of

Fig,2 ­­?