33.4 Exercise 14

The mass of a theoretical particle that may be associated with the unification of the electroweak and strong forces is $\text{10}^{\text{14}} \text{GeV}/ c^{2}$.

(a) How many proton masses is this?

(b) How many electron masses is this? (This indicates how extremely relativistic the accelerator would have to be in order to make the particle, and how large the relativistic quantity $\gamma$ would have to be.)