IMPORTANCE OF THE UNIVERSAL LAW OF GRAVITATION

UNIVERSAL LAW OF GRAVITATION

Every object in the universe attracts every other object with a force . Attraction force is directly proportional to the product of their masses.

F ∝ m1 × m2 Equation 1

The force between two objects is inversely proportional to the square of the distance between them, that is,
F ∝ 1/ r2 Equation 2

Combining Eqs. (1) and (2), we get
F ∝ m1 m2 / r2 Equation 3
F = G m1 m2 / r2 Equation 4

where G is the constant of proportionality and is called the universal gravitation constant.

m1 = Mass of one body

m2 = Mass of other body

r = Distance between two body
By multiplying crosswise, Eq. (4) gives
F × r 2 = G m1 × m2

G = F × r 2 / m1 × m2 Equation 5

IMPORTANCE OF THE UNIVERSAL LAW OF GRAVITATION

The universal law of gravitation successfully explained several phenomena which were believed to be unconnected:
(i) the force that binds us to the earth;
(ii) the motion of the moon around the earth;
(iii) the motion of planets around the Sun; and
(iv) the tides due to the moon and the Sun.

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