00:01
All right, so let's say we have a satellite orbiting mars, and it's at a height of 850 kilometers above the surface, and the radius of mars, we'll just use a capital letter r, 6 ,974, or sorry, that's the diameter, so it means, twice the radius is this.
00:22
So our radius, we can just write, is 3 ,397 kilometers, and we want to count.
00:31
Calculate what is the centripetal acceleration of the satellite here.
00:36
So this is, there are two ways of doing this.
00:39
One is just to recognize that this should just be gm over r squared.
00:42
And we're told what the mass of mars is.
00:46
It's 6 .422 times 10 to the 23rd kilograms.
00:53
So we'll have g, which is 6 .67, times 10 to the negative 11 cubic meters per kilogram per second squared, times our mass.
01:02
Which is 6 .42 times 10 to the 23rd kilograms over and then we can write this as 3397 kilometers plus 850 kilometers and then we'll just multiply this by you know a thousand meters per kilometer and then this whole thing gets squared and so if we do that let's see what we get we should get something like 2 .37 5 meters per second squared...