Math, asked by AdityaKingrocks, 10 months ago

Is law of Gravitation a universal law? How? ​

Answers

Answered by TheInsaneGirl
1

Yes , the law of Gravitation is a universal law because it is applicable to the entire universe .

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Some more features of this law

  • It obeys the inverse square law
  • It is a weak force .
  • It is attractive in nature .
Answered by MoonWings
9

Question :

  • Is law of Gravitation a Universal Law ? How ?

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Answer :

  • Yes, Universal law is a Gravitational law.

  • This law can be applicable for the whole universe such as it can be used to calcute the mass of planets and stars.

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Derivation :

  • This law states that every particle of matter in this universe attracts every other particle with a force.

  • This force is directly proportional to the product of their masses and inversely proportional to the square of the distance between the centres of these masses.

  • The direction of the force acts along the line joining the masses.

  • The force between the masses is always attractive and it does not depend on the medium where they are placed.

Let, \bf{m_1 and\: m_2} be the masses of two bodies A and B placed r metre apart in space.

Force F ∝ \bf{m_1 × m_2}

F ∝ \dfrac{1}{r²}

  • On combining the above two expressions

F ∝ \dfrac{m_1 × m_2}{r²}

F = \dfrac{Gm_1 × m_2}{r²}

  • Where G is the universal gravitational constant.

Its value in SI unit is 6.674 × \bf{10^-11} Nm²  \bf{kg^-2}

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