Question

Two point masses are located a distance, D, apart. The gravitational force of attraction between them can be quadrupled by changing the distance to.A D/2
b.2D
c.D/4
d.4D

Answer 1

Option (A) is correct.

Explanation:

The force of gravity is given by

$F=\frac{G m1 m2}{D^{2}}$

when distance is made half= d= D/2

$F'=\frac{G m1 m2}{(D/2)^{2}}$

$F'= 4\frac{G m1 m2}{D^{2}}$

F'= 4 F

so the force is quadrupled when the distance is D/2

Answer 2

A is the answer. If you half the distance the force will quadruple due to gravitational force obeying the inverse square law of 1/r^2