00:01
So in order to determine the new value for the total energy, we need to find out the ras energy or not with mc squared, okay? because the initial total energy was given as gamma mc square, okay? which is equal to mc square over square root 1 minus b square over c squared and this is equal to 0 .638 mega electron volts, okay? so therefore we know that v was given at 0 .60c at first.
00:37
So if we plug it, we'll have e1 is equal to mc square over square root 1 minus 0 .60c square, and then over c squared is equal to 0 .638 mega -election bolts.
01:13
Therefore, we have mc square.
01:19
Is equal to 0 .638 mega electron volts times square root 1 minus 0 .60 c square over c square, which is equal to 0 .638 mega electron volts times square root 1 minus 0 .36.
01:52
Because 0 .6 square is 0 .36 and c squared and c squared therefore we have 0 .638 mega -eatron volts times 0 .8.
02:14
Because 1 minus 0 .36 is 0 .64 and square root 0 .64 is 0 .8 and therefore we have mc squared is equal to 0 .5104 mega electron volts.
02:28
Okay.
02:31
And then we can determine the new value.
02:32
For the total energy e2, which is equal to, let's say, gamma 2 times mc squared.
02:38
Okay? because the speed was changed.
02:40
In this case, the v2, which is the new speed, is given as 0 .980 c...