Science, asked by yaminipatil4404, 1 month ago

write newton universal law of gravitation with mathematical statements​

Answers

Answered by nirman95
4

NEWTON'S LAW OF GRAVITATION:

  • Newton's Law of Gravitation states that the gravitational force between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the separation distance.

Mathematically, we can say:

F \propto (m1) \times (m2) \:  \:  \:  \: . \: . \: .(1)

F \propto \dfrac{1}{ {d}^{2} }  \:  \:  \:  \: . \: . \: . \: . \: .(2)

Combining the equations:

F \propto \dfrac{(m1) \times (m2)}{ {d}^{2} }  \:  \:  \:  \: . \: . \: . \: . \: .(3)

Introducing a constant G (UNIVERSAL GRAVITATION CONSTANT):

 \boxed{F  = G\dfrac{(m1) \times (m2)}{ {d}^{2} }  }

Hope It Helps.

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