11_একাদশ শ্রেণী_পদার্থবিদ্যা_মহাকর্ষ - মহাকর্ষীয় স্থিতিশক্তি ও মহাকর্ষীয় বিভব - video Dailymotion

11_একাদশ শ্রেণী_পদার্থবিদ্যা_মহাকর্ষ - মহাকর্ষীয় স্থিতিশক্তি ও মহাকর্ষীয় বিভব

Transcript

00:00In this video, we will discuss about the Mahakarshiya Sthiti Shakti.

00:13The earth creates a Mahakarshiya Khetra or area from its center to its axis.

00:20The earth hears the Mahakarshiya Khetra from all directions and from its axis.

00:26In this Mahakarshiya Khetra, the earth attracts any object or thing to its axis.

00:34Now, if a small m-sized object is brought from the center of the earth to the p-axis,

00:41it works according to the axis.

00:44This work does not depend on the path of the object's memory.

00:48That is, the path is independent.

00:51From the axis, the small m-sized object is brought to the p-axis, where OP is equal to small r,

00:57and the work done according to the axis is classified as Sthiti Shakti in the object.

01:04Now, we will calculate the Mahakarshiya Sthiti Shakti.

01:08Suppose, when the object is located at a distance of x from the center of the earth,

01:13then the object will also say in the Mahakarshiya Khetra,

01:21Now, if the object needs dx in the direction of the center,

01:25then we can write the work as

01:35Now, if the object has to be brought from the axis to the p-axis,

01:39and the work done according to the axis is W,

01:42then if we integrate the value of dw from infinity to r limit, it will be equal to W.

01:49So, we can write

02:03because we have already discussed this.

02:06We can write gmm outside.

02:21We know that 1 by infinity is zero.

02:29As we said earlier, the object is Sthiti Shakti in the point where the work is done.

02:34So, we can say that

02:53We can write with the Mahakarshiya Sthiti Shakti.

03:04Mahakarshiya Sthiti Shakti or Gravitational Potential Energy.

03:09Along with this, we have to be familiar with another word.

03:13Mahakarshiya Vibhav.

03:15Mahakarshiya Vibhav is not very different from Mahakarshiya Sthiti Shakti.

03:20The Mahakarshiya Sthiti Shakti of a single object in a point in the Mahakarshiya Khetra is the Mahakarshiya Vibhav of that point.

03:29Similarly, if the Mahakarshiya Sthiti Shakti of a small m-sized object in a point is Pe,

03:35the Mahakarshiya Vibhav of that point is V is equal to Pe by small m.

03:41We know that Sthiti Shakti is equal to minus gmm by r.

03:45Similarly, the Mahakarshiya Vibhav of that point is V is equal to minus g capital M by r.

03:54We can write with the Mahakarshiya Vibhav.

03:57The Mahakarshiya Vibhav of a single object in a point in the Mahakarshiya Khetra is the gravitational potential of that point.