Question

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Answer 1

$\huge{\mathfrak{\overline{\underline{\underline{\blue{Answer}}}}}}$

$\bold{Statement -}$ The force of attraction between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance .

∝ = Inverse proportion symbol

Derivation ;

( refer the attachment )

Considering the two object A and B and it's masses as M and "D" as distance between two points . And let Be "F" Be the force .

$\bold{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:F \:∝ \:Mm}$ -----(1)

$\bold{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:F \:∝ \frac{1}{d²}}$ -----(2)

Combine both (1) and (2)

$\bold{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:F = G \frac{M × m}{d²}}$

Where G is the constant of proportionality so it is universal gravitational constant .

Value of G = $6.67 × 10^{-11}$

Answer 2

The force of attraction between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance .