Question

Find the speed of a particle whose total energy is 50% greater than its rest energy.

Answer 1

\(E^2=p^2c^2+m^2c^4\)

Answer 2

\[E _{total}=\gamma mc^2\] \[E _{rest}=mc^2\]
\[3/2E _{total}=E _{rest}\]
\[3/2 \gamma mc^2 = mc^2\]\[3/2 \gamma = 1\] Solve for V

Answer 3

Much better solution given by azolotor than me.

Just line misprinted:

\(E _{total}=3/2 \,
E _{rest}\)


\(\gamma = 3/2\)