Gravitation, Force of Gravitation, Universal Law of Gravitation

Shanmugarajan B
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Gravitation, Force of Gravitation, Universal Law of Gravitation

What is gravitation?

Gravitation is the phenomenon of force of attraction between any two bodies.

What is gravity? 

The force of attraction between earth and anyone body.

 Universal Law of Gravitation:

This law states that "every object in the universe attracts every object with force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them "

Force of gravitation ∝ product of masses (m₁m₂)

Force of gravitation ∝ 1/(sq of the radius)

Force of gravitation = G [m₁× m₂] / r²

Force of gravitation:

When there is force of gravitation between any two bodies:
  
1. Force of gravitation ∝ product of masses (m₁×m₂)[m₁ and m₂ are the two masses] [Force of gravitation is directly proportional to product of masses]

2. Force of gravitation ∝ 1/(sq of the radius) [Force of gravitation is inversely proportional to sq. of the radius]

Note: Radius(here) - distance between the centre of object A and centre of object B.

Therefore,

Force of gravitation ∝ [m₁× m₂] / r²

However, we can't use the above formula with the proportionality sign. Therefore, they introduced a constant - 'G' to remove the proportionality.

Therefore, it is said that,

Force of gravitation = G [m₁× m₂] / r²

The value of the constant - G is approximately equal to 6.672 × 10⁻¹¹ N m² kg⁻²


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