Question

Suppose two objects attract each other with a gravitational force of 32000 Newtons. If the distance between the two objects is quartered (times 1/4).
then what is the new force of attraction between the two objects

Answer 1

The new force of attraction between the two objects will be 16 times the old case.

What is Newton's law of gravitation?

Newton's law of gravity states that each particle having mass in the universe attracts each other particle with a force known as the gravitational force.

Gravitational force is proportional to the product of the masses of the two bodies and inversely proportional to the square of their distance.

$\rm F =\frac{GmM}{r^2}$

For case 1;

r₁=r

For case 2;

r₂=r/4

$\rm F'=\frac{GmM}{(\frac{r}{4})^2} \\\\ F'=16 F$

Hence,the new force of attraction between the two objects will be 16 times the old case.

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