Introduction to Classical Mechanics · Problem 12.10

Relativity (Dynamics) — Morin

Physics — Mechanics · relativistic-rocket-motion

Problem

Consider the relativistic rocket in Section 12.6. Let mass be converted into photons at a rate

\sigma

in the rest frame of the rocket. Find the time

t

in the ground frame as a function of

v

. (Alas, it isn't possible to invert this, to obtain

v

as a function of

t

.) You'll need to evaluate a slightly tricky integral. Pick your favorite method -- pencil, book, or computer.