00:01
This is chapter 37 problem number 28.
00:05
So we are asked to calculate the v velocity if gamma factor is 1 % greater than 1, 10 % greater than 1, and 100 % greater than 1.
00:16
So the bottom line of this problem is that we want to go from gamma, which is given to us into calculating the velocity.
00:25
So rest remember what gamma was 1 over square to 1 minus v squared over c.
00:30
Square.
00:31
So let's do, let's find that expression first and then we can plug in the different numerical values to get the velocity.
00:37
Now let's get rid of the square root in denominator in order to do that, that square both sides.
00:43
So from here we have gamma square equals one over one minus v square over c square.
00:50
And now let's multiply both sides by this terming denominator and then divided by gamma square.
00:58
So if you divide both sides by gamma square.
01:01
We're going to have one over gamma squared here.
01:04
And multiply by this term, these are going to cancel.
01:09
So we're going to have 1 minus v squared over c squared equals 1 over gamma squared.
01:17
Now, then let's isolate our, try and isolate v over c.
01:21
In order to get 1 minus 1 over gamma squared is going to be equal to v squared over c squared.
01:27
And if we take square root of both sides, what we have is v over c.
01:31
Now we know what v over c is...