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iitjee10
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Can gauss law in its equivalent form be used to determine the gravitational field??
If so how??
If so how??
Gauss law in gravitation is a fundamental law in physics that describes the relationship between the gravitational field and the mass distribution in a system. It states that the flux of the gravitational field through a closed surface is proportional to the mass enclosed by that surface.
Gauss law in gravitation is derived from Newton's law of universal gravitation and the principle of superposition. It can also be derived from the inverse square law of gravitation, which states that the strength of the gravitational force between two objects is inversely proportional to the square of the distance between them.
Gauss law in gravitation allows for the calculation of the gravitational field at any point in space without having to consider the individual contributions of all masses in the system. This simplifies calculations and makes it easier to understand the behavior of gravitational fields.
The main assumption of Gauss law in gravitation is that the mass distribution in the system is spherically symmetric. This means that the mass is evenly distributed in all directions from a central point. Additionally, the law assumes that the gravitational field is continuous and differentiable.
Gauss law in gravitation has many practical applications, such as in the study of celestial bodies and the prediction of their orbits. It is also used in geodesy and geophysics to model Earth's gravitational field and in satellite navigation systems. Additionally, it is used in the design of spacecraft trajectories and in the study of general relativity.