00:01
All right, so for this problem, it's going to be a time dilation problem.
00:04
And let's get a few things here.
00:07
So the distance from the earth to pluto is going to be 7 .5 times 10 to the power 12 kilometers.
00:17
And if we're traveling at 0 .65c, so that's going to be equal to 0 .65 times 3 times 10 to the power of, 8 meters per second.
00:38
All right, from here we can go ahead and raise this to a power of 3 to get it into meters.
00:48
So then it'll be 15, and then we're going to get into meters.
00:52
And from here, we can calculate the time that it takes to travel to pluto in seconds.
01:00
And when you do the math, you get the time that it takes to be equal to 3 .85, rounding up, times 10 to the power 7 seconds.
01:12
From here, we plug in this to our time dilation formula...