Introduction to Classical Mechanics · Problem 11.48
Relativity (Kinematics) — Morin
Physics — Mechanics · loss-of-simultaneity
Problem
A train moves at speed v with respect to the ground. Two events occur simultaneously, a distance L apart, in the train frame. What are the time and space separations in the ground frame? Solve this by:
(a) Using the Lorentz transformations.
(b) Using only the results in Section 11.3. Do this by working in the ground frame, and then again by working in the train frame.