00:01
Okay, so we have an astronaut orbiting the earth preparing to dock a satellite.
00:09
And so the satellite is in an orbit that's 500 kilometers above earth.
00:17
And at that point, the acceleration due to gravity is 8 .14 meters per second squared.
00:24
And then they give us the radius of the earth.
00:26
So we want to figure out what the speed of the satellite is.
00:32
Basically the period of one orbit.
00:36
So basically we have something like this where we have the earth.
00:43
Oops, we have the earth and the radius and then the satellite here.
01:04
So this is the distance.
01:07
So in order to calculate the velocity in the period, we actually just want this whole distance here.
01:17
Which we'll call r.
01:21
And go ahead and just get that first.
01:27
So that is going to be, so 6 ,400 kilometers plus 500 kilometers, just going to be 6 ,900 kilometers.
01:43
But we'll want this in meters.
01:48
So r is equal to basically 6 .9 times 10 to the 6 .6 .5.
01:56
6th meters...