- #1

wahaj

- 156

- 2

This is the first problem I attempted after learning about special relativity. I used the equation

[tex] E^2 = \rho^2 c^2 + (m c^2 )^2 [/tex]

Since the energy is constant I gave it a value of 1 so

[tex]1 = \rho^2 c^2 + (m c^2 )^2 [/tex]

rearranging the above equation I get

[tex] \rho = \sqrt {\frac{1}{c^2} - m^2 c^2 } [/tex]

putting in values for m I get the energy for all 3 particles to be 3.3 nJ.

I have two questions

1) did I do this right? if not then where did I go wrong?

2) If I did this right then why is the energy the same for all particles? Since the mass is different for all three particles wouldn't the momentum also be different. I can understand the proton and neutron having the same energy because their masses are almost the same but the electron's mass is significantly different than a proton's and neutron's.

**So far I have only had an intro to special relativity, I know the transformation equations for space, time, velocity, linear momentum and energy. keep that in mind when answering my question**