(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Mr. Krane describes this scenario in a presentation of relativistic mass in his book

Modern Physics

John Wiley & Sons, Inc. 1983

p. 36-37

According to one observer, two balls of equal mass, m1 and m2, are approaching each other at equal speed, v. The proper mass of each is m0. They collide inelastically for a final speed of V = 0 and mass M = m1 + m2.

2. Relevant equations

m' = m0 / sqrt(1 - u^2/c^2)

3. The attempt at a solution

The conclusion is that the final the final mass of the two balls (stuck together) is:

M = m1 + m2 = m0/sqrt(1-v^2/c^2) + m0/sqrt(1-(-v)^2/c^2) = 2m0 / sqrt(1-v^2/c^2)

Instead, I argue that since two balls are now at rest in the reference frame of the observer, the mass of the two stuck balls is

M = 2m0

What am I missing here?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Relativistic Mass as described by Kenneth Krane in 'Modern Physics'

**Physics Forums | Science Articles, Homework Help, Discussion**