00:01
All right, so let's say an event is defined by the following coordinates.
00:03
X1 is equal to something x not, and then t1 is defined as x not over c.
00:10
X2 is equal to 2x0, and then t2 is x not over 2c.
00:18
And so we want to find, we're told that there's another frame in which these events are simultaneous.
00:24
So delta t in this frame is just going to be, we'll call it basically one half, x not over c and delta x in this frame is just going to be equal to x not.
00:37
So then delta t prime in our new frame is going to be gamma times delta t minus v delta x over c squared.
00:46
And we're told that this should be equal to zero, right? and so what we have is, you know, if we solve for that, what we get is that delta t is times c is equal to v over c times delta x and so for solving for v we can see that it's going to be like c squared um times delta t over delta x and if we plug in those numbers all right so let's say delta t we can see is one half c or one half x not over c so we have c squared times one half x not over c and then this is divided by x not so these cancel.
01:34
This cancels.
01:35
We can see that this is just half the speed of light.
01:39
And then we want to know what is the value of t at which both events occur in the new frame.
01:47
All right...