Two small objects, with masses m and m, are originally a distance r apart, and the gravitational force on each one has magnitude f. the second object has its mass changed to 2m, and the distance is changed to r/4. what is the magnitude of the new gravitational force?

New gravitational force, F' = 32 F

Explanation:

The gravitational force acting on two objects that are separated by a distance r between them is given by :

m is the mass of object 1

M is the mass of object 2

Now, the second object has its mass changed to 2m, and distance is changed to r/4. So, the gravitational force becomes :

So, the magnitude of the new gravitational force is 32 times the previous force. Hence, this is the required solution.