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

A particle of rest mass 6x10^-30 kg is at rest. It then emits a gamma ray of 2 MeV (3.2x10^-13). Calculate the kinetic energy of the recoiling particle.

2. Relevant equations

[tex]KE = (\gamma - 1)m_{0}c^{2}[/tex]

[tex]E^{2} - p^{2}c^{2} = m_{0}^{2}c^{4}[/tex]

3. The attempt at a solution

I used the conservation of energy to find the energy of the recoiling particle.

(6x10^-30)c^2 = 3.2x10^-13 + E

E = 2.2x10^-13

Then I used the conservation of momentum.

p = -(3.2x10^-13)/c = 1.06x10^-21

But I'm stuck. I try to put this in the energy-momentum invariant but it doesn't work.

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# Homework Help: Calculate the kinetic energy of the recoiling particle.

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