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April 19, 2023

December 29, 2021

In *physics*, the gravitational field is a model that is used to explain the influences that a massive object extends into the space around itself, which produces a *force* on another massive object.

Due to the *mass* of an object, it creates a field of attractive force around it, and this field of attractive force influences another massive object i.e the region in which an object first exerts a gravitational force on another object is called the *gravitational field* of the object.

In reality, the gravitational field of any object extends to infinite distances, but the region after which the gravitational force becomes negligible, that region is no longer regarded as the gravitational field of the object.

It is important not only to mark a region as the gravitational field of an object but also to measure the gravitational effect at each point in that region.

From *Newton’s law of gravitation*, we know that the gravitational force between two objects of masses *M* and *m *separated at a distance of *r* is

Now for an object of mass *M*, we need to determine the gravitational field at a distance of *r* from its center.

So, if we take *m = 1* then according to the definition we will get the gravitational field due to the object of mass *M* at a distance of *r* from its center, and that is

So from equations no 1 and 2 we get

This is the measure of the gravitational field. From the view of gravitation, this gravitational field intensity is identical to the acceleration due to gravity. So Some time this gravitational field represents as g i.e

Since *force* and acceleration are both *vector quantities*, the gravitational field intensity is also a vector quantity. The direction of this field intensity is always worked towards the center of the object.

From equation no-3 we get the unit of gravitational field i.e

So the unit of this gravitational field is measured in Newtons per kilogram *[N/kg]* or meters per second squared *[m/s2],* and dyne per gram *[dyn/g]* or centimeter per second squared *[**cm/s2]*.

From equation no-3 we get the dimension of gravitational field i.e

So the dimensional formula of the gravitational field

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