1. If the distance between two objects is increased four times, then by how many times will the mass of one of the objects be changed to maintain the same gravitational force?

2.

If the distance between two objects is multiplied by 4, then the

gravitational force between them is multiplied by (1/4²) = 1/16.

So in order to maintain the same force of gravity between them,

you would need the product of the two masses to be multiplied

by 16. This can be accomplished by multiplying the mass of

either object by 16.