Question

If the distance between two bodies is doubled, what happens to the gravitational force of attraction between the bodies?

• A. doubles
• B. reduces to half
• C. remains constant
• D. reduces to one-fourth

Answer 1

The correct option is D reduces to one-fourth

$F_g=G\frac{m_1{m}_2}{r^2}$
Therefore, $F_g\propto \frac{1}{r^2}$

Hence, if the distance between the bodies is doubled, the gravitational force of attraction becomes one-fourth.