00:01
Calculate the gravitational acceleration on the surface of mercury and on saturn's moon.
00:11
So the acceleration, according to the laws of universal gravitation, is g times the mass of the planet or moon in this case over r squared.
00:26
So we're going to have to go to appendix e and put in information about mercury and information about titan.
00:46
All right, so i have appendix here, here, appendix e here.
00:53
The acceleration for mercury is, first of all, the universal gravitational constant, which is 6 .67 times 10 to the negative 11th power.
01:16
I'm going to use all si -based units, so i'm not going to write my units.
01:21
I know my answer will be in meters per second squared.
01:24
Okay, so there's the universal gravitational constant.
01:28
The mass of mercury is 0 .330 times 10 to the 24th power.
01:35
0 .330 times 10 to the 24th power.
01:42
And that's in kilograms.
01:44
So that's an si base unit.
01:47
And the radius of mercury.
01:57
So this is on the surface, on the surface.
02:01
So i just need the radius of mercury.
02:04
The mean radius for mercury.
02:10
Is 2 .44 times 10 to the 6th power.
02:26
And that is in meters.
02:33
Good.
02:33
So that's in meters, an si base unit, to the second power...