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What is the derivation of universal …

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What is the derivation of universal law of gravitation
  • 1 answers

Yogita Ingle 7 years, 6 months ago

Universal law of gravitation:  The universal law of gravitation states that every object in the universe attracts every other object with a force called the gravitational force. The force acting between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centres.
Derivation:  For two objects of masses m1 and m2 and the distance between them r, the force (F) of attraction acting between them is given by the universal law of gravitation as:
F ∝ m1 ....... (i)
F ∝ m2 ......... (ii)
F ∝ 1/r2 ......... (iii)
Form the above equation we can write them folllowing
F ∝ (m1m2)/r2
F = G (m1 m2)/r2
The above equation is the mathematical representation of Newton's universal law of fravitation

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