00:01
In this exercise, we're going to be using the concept of orbit velocity and escape velocity.
00:06
So before actually solving the problem, i'm going to review the topic.
00:12
So consider that we have a certain body, for example, a planet.
00:16
It can be planet earth.
00:18
And we have an orbit around this planet.
00:24
And the distance between the center of the planet and the orbit is what i call r.
00:34
The orbit velocity for this distance is equal to g, g here is newton's gravitational constant, times the mass of the planet divided by r.
00:50
This is the orbit velocity.
00:53
The escape velocity, on the other hand, is the velocity that's necessary to escape the orbit of a planet, and it's equal to, or actually anybody, it can be the velocity necessary.
01:06
To escape the orbit of a star or any body, it's equal to the square roots of 2gm divided by r.
01:19
And what we're also gonna need in the exercise is that the mass of the earth is 5 .98 times 10 to the 24 kilograms.
01:33
We are gonna need that the radius of the earth is 6 .38 times 10 to the 6th, meters...