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

Consider a collision in which a stationary particle with mass M is bombarded by a particle with mass m, speed v_{0}, and total energy (including rest energy) E_{m}.

PART A: Use the Lorentz transformation to write the velocities v_{m}and v_{M}of particles m and M in terms of the speed v_{cm}of the center of momentum.

PART B: Use the fact that the total momentum in the center-of-momentum frame is zero to obtain an expression for v_{cm}in terms of m, M, and v_{0}.

3. The attempt at a solution

ok i found the part A after like a gazillion of tries

but the problem is part B. i have totally no idea... i tried to use mv_{m}=mv_{M}since the total momentum is 0, but i don't get the ans. almost all my answers are monstrous looking expressions

help greatly appreciated!

PS: part C was adding part A and B together to get the available energy for particle collision which i got the answer from my textbook but my textbook doesn't show how to derive it. would be great if someone could tell me how to combine part A and B to show this part C thanks

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

Dismiss Notice

Join Physics Forums Today!

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

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

# Homework Help: Center of momentum for particle collision

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