Synchronized Clocks: Time Dilation and Lorentz Transformations

[giants86]

Homework Statement

A person "A" with a watch is standing on a train station. A train (which proper length is 100ms*c) passes him with a speed of 3/5c. A person "B" sitting on the front of the train synchronizes his watch with the "A" (both set to 0) when he passes him. At the same time he sends a light signal to another passenger "C" who is on the back of the train. Once "C" receives the signal, he synchronizes his watch (taking it -100ms back to adjust for light travel).
What "A" and "C" watches are going to show when "C" passes "A"?

Homework Equations

Lorentz transformations

 

[cepheid]

What happened to part 3 of the template? Where is your attempt at a solution? You must provide this, site rules require it.

Also, this isn't advanced physics: thread moved.

You have two events here:
1. Person B passes Person A.
2. Person C passes Person A.

What is the time interval ($\Delta t$) between these two events according to the observer (person A) on the track? What is the time interval ($\Delta t^\prime$) according to the observers (persons B and C) on the train? How are these two related to each other?