Examine the force of gravity between the two cases below

Question

Case A: Two objects, one with a mass of 8 kilograms and the other with a mass of 1 kilograms, are located 40 meters from each other.

Case B: Two objects, one with a mass of 37 kilograms and the other with a mass of 37 kilograms, are located 10 meters from each other.

How many times stronger is the force of gravity in Case B than in Case A? Round your answer to the nearest 0.01.

Answer 1

The universal formula for gravitional force shows that the force is proportional to the product of the masses, and inversely proportional to the square of the distance between them.

If one mass is doubled, the force doubles

If both masses are doubled, the to force is increased by 4X (quadrupled)

If the distance is doubled, the force decreases by 4X