Question

Why gravitational force is inversely proportional to the square of the distance?

Answer 1

Answer:

Gravitational force:

The force acting between the bodies having mass due to the center of the mass is known as the gravitational force.

• The gravitation force is higher when the distance between the object is lesser,
• the gravitational force is weaker when the distance between the bodies is more

Answer and Explanation:

The Newton law of gravitation explains that the gravitation pull or the gravitational force of the higher mass between the two bodies inversely proportional to that of the square of the center of the mass distance between them.

The tendency of the center mass is to attract other bodies having mass.

If the distance between the bodies is increased, then the gravitational force becomes weaker. The lesser the distance between the bodies, the maximum will be the gravitational force.

Answer 2

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In physics, an inverse-square law is any physical law stating that a specified physicalquantity or intensity is inversely proportional to the square of the distance from the source of that physical quantity. The fundamental cause for this can be understood as geometric dilution corresponding to point-source radiation into three-dimensional space

Mathematically formulated:It can also be mathematically expressed as:

The divergence of a vector field which is the resultant of radial inverse-square law fields with respect to one or more sources is everywhere proportional to the strength of the local sources, and hence zero outside sources.

Newton's law of universal gravitationfollows an inverse-square law, as do the effects of electric, magnetic, light, sound, andradiation phenomena.Radar energy expands during both the signal transmission and also on the reflected return, so the inverse square for both paths means that the radar will receive energy according to 1/r4 power.

In order to prevent dilution of energy while propagating a signal, certain methods can be used such as a waveguide, which acts like a canal does for water, or like how a gun barrel restricts hot gas expansion to one dimension in order to prevent loss of energy transfer to a bullet.