An Introduction to Modern Astrophysics · Problem 4.17

The Interaction of Light and Matter — Carroll & Ostlie

Physics — Astrophysics · relativistic-kinetic-energy

Problem

Prove that in the low-speed Newtonian limit of

v/c \ll 1

, Eq. (4.45) does reduce to the familiar form

K = \frac{1}{2}mv^2