Question

Will the gravitational force between 2 objects increase or decrease if the distance between them decreases.

Answer 1

increase

Step-by-step explanation:

The formula for the gravitation for of attraction is:

`F = (Gm_1m_2)/(r^2)`

It implies that the force of attraction is inversely proportional to the square of the distance. i.e.

`F \infty (1)/(r^2)`

where;

G = gravitational constant

m = mass; &

r = distance between the two objects.

Now let's assume that the distance between is reduced from 1 to half;

Then:

`F \infty (1)/(\Big ((r)/(2) \Big)^2)`

`F \infty (4)/(r^2)`

Thus, the new gravitational force of attraction increased by a factor of 4.