If the distance between two objects is doubled, what happens to the gravitational force between them?

Question

a
it decreases to 1/2 of its original value
b
it doubles
c
it stays the same
d
it decreases to 1/4 of its original value

Answer 1

d) it decreases to 1/4 of its original value. This is because the gravitational force between two objects is inversely proportional to the square of the distance between them. Doubling the distance will result in the force decreasing by a factor of 4 (2 squared).