Introduction to Classical Mechanics · Problem 11.34
Relativity (Kinematics) — Morin
Physics — Mechanics · here-and-there
Problem
A train of proper length L travels past you at speed v. A person on the train stands at the front, next to a clock that reads zero. At this moment in time (as measured by you), a clock at the back of the train reads Lv/c2. How would you respond to the following statement:
``The person at the front of the train can leave the front right after the clock there reads zero, and then run to the back and get there right before the clock there reads Lv/c2. You (on the ground) will therefore see the person simultaneously at both the front and the back of the train when the clocks there read zero and Lv/c2, respectively.''