00:01
In this fusion, given data is, that is there is a satellite which is revolving around earth at a height from earth surface given that is h is equal to 1 .33 multiplied by 10 to the power 6 meter.
00:30
And further information is given that is mass of earth is given, that is m .e is equal to 5 .98 multiplied by 10 to the power 2 .20.
00:41
Kg and radius of earth is given that is re is equal to 6 .38 multiply by 10 to the power 6 meter meter and gravitational constant is given that is g is equal to 6 .67 multiply by 10 to the power minus 11 newton meter square per kg square so this information is given and now in the question it is asking that find the speed of that satellite so let's start asking this question.
01:20
So in the answer, first here i am making a diagram to explain the given information.
01:28
So consider that this is a earth and this is a center of earth.
01:45
This point is a center of earth, consider that so now again consider that this is a orbit.
01:53
And in this orbit this satellite is revolving around the earth so now in the cushion height of orbit from earth surface is given that is h is equal to 1 .33 multiplied by 10 to the power 6 meter so you can see that this is a satellite which is from height distance that is 1 .33 multiplied by 10 to the power 6 meter so you can see that this is a satellite meters from earth's surface and further information is given that is mass of earth is given so which is indicated by m .a so and radius of earth is given so which is indicated by r e so this is the radius of earth so and in the cution gravitational constant is given so now you can say that i had explain all the data that is given.
03:06
So my next step is here i am analyzing this diagram.
03:12
So you can see that the satellite is revolving around earth at a height from earth surface.
03:24
So this satellite has a motion that is circular motion.
03:33
That means so here for finding the speed.
03:36
First we have to make a equation by taking a information of force which is acting on the satellite.
03:46
So you can see that here two forces acting.
03:49
First force is that is centrifugal force whose direction is outside outwards and second force is that is gravitational force that is fg which direction is towards the center of mass of earth.
04:07
So that means this centrifugal force is trying to remove the orbit, sorry, satellite from orbit and this gravitational force, that is fg, is trying to attract the satellite towards center of mass of earth.
04:27
So here you can see that this satellite is revolving around the earth...