Question

Derive the mathematical formula for the universal law of gravitation (Universal gravitational constant 'G')

Answer 1

the mathematical formula for the universal law of gravitation is
F=Gm1m2/r2

Answer 2

Ok take any two objects of mass m1 and m2

let the force of attraction between them is F

and the distance between them is r

So F   \alpha M1

    F   \alpha M2

    F   \alpha 1/R²

 

  We can write these equations as F  \alpha M1*M2/R²

Removing the proportionality symbol and placing G as constant we get

 F=G M1*M2/R²

Thus the universal law of gravitation can be derived