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## Homework Statement

Let m1, m2 and m3, the mass of 3 particles and v12, v23, v13 their respective relative velocities.

a) Show that the total kinetic energy of the system in relation to the center of mass is:

( m1m2v12^2 + m2m3v23^2 + m1m3v13^2 ) / (m1+m2+m3)

b) generalize this result

## Homework Equations

## The Attempt at a Solution

I DID attempt a lot of stuff but I feel like a headless chicken running around here....

I know I won't have any answer before I post any try on here, but a tip on how/where to start would be greatly appreciated