Question

what is the equation for gravitation between two objects if distance between them is halved.
please explain each step

Answer 1

$\huge\purple {\mathfrak{Bonjour Mate!}}$

According to the law of gravitation , the force of attraction between any two objects of mass m1 and m2 is proportional to the product of their masses and inversely proportional to the square of the distance 'R' between them.

As given here F=Gm1×m2/R^2

Here G is the gravitational constant. When the distance (R) is reduced to half .

Then F′=Gm1×m2/R^2/2^2

Or F′=4F

Clearly, as the distance between the objects is reduced to half the force of gravitation becomes four times the original force.

Answer 2

According to the law of gravitation , the force of attraction between any two objects of mass m1 and m2 is proportional to the product of their masses and inversely proportional to the square of the distance 'R' between them.

As given here F=Gm1×m2/R^2

Here G is the gravitational constant. When the distance (R) is reduced to half .

Then F′=Gm1×m2/R^2/2^2

Or F′=4F

Clearly, as the distance between the objects is reduced to half the force of gravitation becomes four times the original force.