00:01
Alright, so let's say uranus has a radius of 25 ,360 kilometers and it's got a surface gravity of 9 meters a second squared.
00:11
So we're also told that there is a moon that is in orbit at an altitude of 104 ,000 kilometers above the surface and the moon has a mass of 6 .6 times 10 to the 19th kilograms.
00:29
So we want to find, or sorry, and the radius of miranda, we'll just call rm, is 236 kilometers.
00:38
So we want to calculate the mass of uranus from the sample.
00:41
So g, gravitational acceleration, is going to be g times capital m over r squared.
00:46
So m is going to be little g times r squared over capital g.
00:51
So this is 8 .68 times 10 to the 25th kilograms.
00:57
And then part b, we want to calculate the magnitude of miranda's acceleration due to its orbital motion...