Question

Derive the F = Gmm/r square ​

Answer 1

Force between two bodies is proportional to the product of their masses:-

F ∞ Mm. ...(1)

and also proportional to square of distance between them

F ∞ R². ...(2)

from (1) and (2) :-

F∞Mm/R²

so F=GMm/R²

where G is constant of proportionality

Answer 2

Read the law
it states
every object in the universe attract every other object with a force proportional to the product of therir masses

form here we can say
F direct prop to Mm 1

and inverse proportional to the square of the distance between them


so
F direct prop to 1/r^2 2

1and 2


F direct prop to Mm/r^2



give gravitational constant G


F =GMm/r^2
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