00:00In the previous two videos, we saw how the value of small g changes with the elevation and depth of the earth's surface.
00:17We also saw that the value of small g changes with the elevation and depth of the earth's surface.
00:27In this video, we will show you how the value of small g changes with the elevation and depth of the earth's surface.
00:36Before writing the equation, let's see the equation of g for elevation.
00:43For elevation, g1 is equal to 4 by 3 pi rho capital G into r minus d.
00:52That is, g1 is proportional to r minus d.
01:03In this case, we have to write the equation of g for elevation.
01:10If any object is in the center of the earth, that is, small d is equal to capital R, the value of the equation will be 0.
01:19If any object is in the center of the earth, that is, small d is equal to capital R, the value of the equation will be 0.
01:26If any object is in the center of the earth, that is, small r is equal to capital R, the value of the equation will be 0.
01:35For elevation, g1 is equal to capital G into m by r plus h whole square.
01:43That is, g1 is proportional to 1 by r plus h whole square.
01:55We can see that the value of the equation is equal to the value of the elevation.
02:00Therefore, the equation of this equation will be negative.
02:05The second important point is that the value of the equation will not be zero for any value of h.
02:11If the distance is small r, the value of g will be less than 9.8 m per second square.
02:18And it will be less to infinity, but it will never be less than the value of g equal to zero.
02:25However, this is just a theory.
02:27In fact, the value of the equation decreases so much after a certain distance from the earth's surface that it becomes infinite or instantaneous.
02:42Now, if we illustrate these two equations of elevation and gravity in one equation, it looks something like this.
02:51In this case, we have to keep a close eye on what is the shape of the equation above and below small r is equal to capital R.
03:02Below is a straight line and above is a curved line.
03:07In comparative tests, questions are asked by looking at such diagrams.
03:11If we understand some of the characteristics of the diagram well, we will be able to answer all these questions.
03:18Let's look at the characteristics.
03:201. The value of the equation is always in the very center, i.e. small r equal to capital R.
03:282. The value of the equation is zero in the center of the earth, i.e. small r equal to zero.
03:363. Below the earth, i.e. small r less than capital R, the shape of the equation is a straight line.
03:444. Above the earth, i.e. small r greater than capital R, the equation is a curve.
03:515. Above the earth, i.e. small r greater than capital R, the equation never touches g equal to zero.
04:01For more such incidents, the value of the equation can be changed.
04:06We will talk about it in our next video.
04:09Keep watching.
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