Question

state Newton ,s universal law of gravitation. Express it in mathematical form
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Answer 1

Answer:

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Step-by-step explanation:

Newton's universal law of gravitation: Every particle in the universe attracts every other particle with a force along a line joining them. ... In equation form, this is F=GmMr2 F = G mM r 2, where F is the magnitude of the gravitational force. G is the gravitational constant, given by G = 6.673 × 10−11 N·m2/kg2.

Answer 2

Answer:

The universal law of gravitation states that any two objects with mass in the universe get attracted by a unique force that is directly proportional to the masses of the two objects. Additionally, it is inversely proportional to the square of the distance between the two objects it acts on as well.

Mathematically,

Fαm1m2r2Fαm1m2r2

The proportionality can be removed from the formula by placing a proportionality constant named GG, also called as universal gravitational constant. It is defined as the force between any two bodies which are separated by unit distance.

the final form of the formula turns into,

F=Gm1m2r2F=Gm1m2r2

Where, GG is the proportionality constant or universal gravitational constant,

m1,m2m1,m2 are the masses of the two objects, and

rr is the distance between the two objects.