What is Newton’s Universal Law of Gravitation?

Newton’s Universal Law of Gravitation

Every one folks is aware of that ”Whatever goes up should return down”. even as associate apple falling from the tree or pencil falling from the table. however have you ever ever thought why do satellites don’t fall? the solution this can be the universal law of gravitation. thus no matter goes up should return down and won't return down too. allow us to study this intimately.

Newton’s Law of Gravitation

The queries like why did the apple fall on the bottom and why didn’t the satellite fall on the bottom fascinated the human Newton. He came up with the universal law of gravitation.

Statement

”Every body within the universe the universe attracts each alternative body with a force that is directly proportional to the to the merchandise of their lots and reciprocally proportional to the sq. of the gap between them ”. that's if objects area unit terribly on the brink of one another than the gap between them is a smaller amount so the force with that they attract one another are going to be additional.

Suppose you've got a ball and a box each lying on the ground. Do they really begin moving towards every other? consistent with the universal law, the ball and also the box ought to be moving towards one another. however in actual this doesn't happen. this can be as a result of the force with that they're attracting one another is extremely abundant little.

So here if the mass of the ball is money supply and mass of the box is money supply then, F ∝ m1 m2/r², and is reciprocally proportional to the gap between them.

F ∝  m1m2/r²

As you progress the objects secluded from one another the force are going to be less and if the objects area unit brought shut then the force are going to be abundant larger.

The Mathematical variety of Law of Gravitation

We have 2 lots money supply and money supply

We know that, F ∝ money supply money supply and F ∝ m1m2/r²

From these 2 we are able to say that, F ∝  m1m2/r²

Now we want to convert this proportion into equality, thus we tend to introduce a constant,

F =  Gm1m2/r²

•             G = constant.

•             SI unit of G is Nm² kg-²

•             Value of G is half-dozen.673×10-11 Nm² kg-²

Suppose you've got unbroken 2 pens on the table and you wish to understand the force of attraction between them, you'll determine simply if you recognize the lots of the 2 pens, we are able to calculate the force by the higher than universal formula.

Importance of  Newton’s Universal Law of Gravitation

•             It has explained U.S.A. the force that binds U.S.A. to the planet i.e however each                        object is force from the planet
•             It explains the motion of the moon round the earth.
•             Also, the motion of the planets round the earth is explained.

Suppose you're standing on the highest of the building and you throw a stone from an excellent height. have you ever noticed  that the stone falls to the ground? that's a  free fall. the item is falling freely on the bottom.The gravitative pull attracts the item and also the object fully. throughout free fall the direction of the motion remains unchanged. The motion is during a downward direction towards the motion of the planet.