Question

state universal law of gravitation.​

Answer 1

here goes your answer my dear friend..
universal gravitation states that every particle attracts every other particle in the universe with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
hope it helps u dude..
#jst chillax..
#happy mother's day

Answer 2

Answer:

In physics, gravitation definition is stated as the force that attracts every object to the centre of gravity. In general, gravitation is the force exerted by everybody due to the virtue of its mass. Thus, how much every object in this universe exerts force on every other object is stated using the universal law of gravitation.

Universal Law Of Gravitation Statement

The Universal Law of Gravitation can be stated as:

“Every object in the universe attracts every other object with a force directed along the line of centres for the two objects that is proportional to the product of their masses and inversely proportional to the square of the separation between the two objects”.

Newton’s Law of Universal Gravitation

Newton went on to discover the law of gravitation. According to the Universal law of gravitation, the force between two bodies is directly proportional to their masses and inversely proportional to a square of the distance. Mathematically it can be represented as follows:

F∝m1m2r2⇒F=Gm1m2r2

where,

F is the gravitational force between two bodies

m1 is the mass of one object

m2 is the mass of the second object

r is the distance between the centers of two objects

This constant of proportionality is known as Universal Gravitation Constant. With careful experiments, the value of gravitational constant was found to be 6.67 x 10−11 m3⋅kg−1⋅s−2N. This experiment was performed by Henry Cavendish. Also, the value of ‘G’ remains constant throughout the universe.

Universal Gravitation Constant Derivation

Now the one question to be answered here, is how Newton was able to predict that the force is inversely proportional to the square of the distance? For this, he utilized Kepler’s law according to which square of the time period is directly proportional to cube times the distance between the centre and the orbiting body. So we know since the body is in a circular motion so,

F∝v2r……………………….(1)

Also we can say, T=2πrv⇒v=2πrT

Now, putting the value of v in equation (1) we get,

F∝rT2……………………….(2)

Now from Kepler’s Law,

T2∝r3

Hence, putting the value of T2 in equation(2), we get,

F∝1r2

Now the question is if gravitation