00:01
Okay, so the problem here is asking for the lorentz factor for a proton with energy of 10 to the 20 electron volts.
00:06
This one surprisingly straightforward.
00:08
We can start from e equals mc squared, number energy is equal to mass times the speed of light squared.
00:13
Except when you look for the total energy with relative to the correction, the formula goes like this.
00:17
Gamma mc squared, where gamma is your lorentz factor, which is just equal to gamma is equal to 1 over square root of 1 minus b over c.
00:32
Quantity squared.
00:33
And that just allows you to figure out what factor by which you experience time dilation or lymph contraction when going at relativistic speeds.
00:42
But essentially you know that your total energy is going to be gamma mc squared, and this is just an extension of that we don't actually need to solve for because we're already given the total energy...