- #1

ChronicApathy

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## Homework Statement

A particle at rest with mass M decays into 2 particles, one with mass m1 and the other with mass m2. Use conservation of energy and momentum to show that E1=((M^2+m1^2-m2^2)c^2)/(2M)

## Homework Equations

E=√((p^2)(c^2)+(m^2)(c^4))=γmc^2

p=γmv

## The Attempt at a Solution

Energy is conserved, so E0=E1+E2

The mass is initially at rest so E0=M(c^2)

E2=√((p2^2)(c^2)+(m2^2)(c^4))

So, I need to get

M(c^2)-√((p2^2)(c^2)+(m2^2)(c^4))

to look like

((M^2+m1^2-m2^2)c^2)/(2M)