how does gravitational force between two bodies change if the distance between them is tripled - Science -

Question

how does gravitational force between two bodies change if the
distance between them is tripled?

Jyoti Pant · Accepted Answer

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

Mathematically,

$F = G \frac{m_{1} m_{2}}{r^{2}}$ -----(i)

Where, G is the universal gravitational constant, m1 and m1 are the masses separated by a distance r.

When distance between two bodies is tripled,r'=3r

then the gravitational force

$F' = G \frac{m_{1} m_{2}}{{(3 r)}^{2}} = G \frac{m_{1} m_{2}}{9 r^{2}} - - (i i) D i v i d i n g (i) b y (i i), w e g e t F' = \frac{1}{9} F$

The gravitation force becomes 1/9th of the original gravitational force.

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how does gravitational force between two bodies change if the distance between them is tripled?