Question

Which change/s will result in a quarter of the gravitational force?

A) Double both masses.
B) Half both masses.
C) Quadruple one mass.
D) Quarter one mass.
E) Half the distance.
F) Double the distance.

Answer 1

To result in a quarter of the gravitational force, you can either quarter one mass or double the distance.

Step-by-step explanation:

To result in a quarter of the gravitational force, we need to examine the relationship between mass and distance in the gravitational force equation. According to Newton's law of universal gravitation, doubling both masses (option A) will result in double the gravitational force. Halving both masses (option B) will result in half the gravitational force. Quadrupling one mass (option C) will result in four times the gravitational force. Finally, quartering one mass (option D) will result in a quarter of the gravitational force. However, changing the distance will have a different effect. Halving the distance (option E) will result in four times the gravitational force, while doubling the distance (option F) will result in a quarter of the gravitational force. Therefore, options D and F will result in a quarter of the gravitational force.