How do you think the electrostatic force between two objects would change if the distance between two objects was doubled?

The force between the two charges increases 16 times.

Coulomb's law equation states:

│F│ = ke │q1q2│/r2

Where (F) is the force acting simultaneously on both point charges (q1) and (q2).

r is the separation distance and ke is a proportionality constant called the Coulomb

constant.

Using above equation, if we double both charges and reduce the distance in half.

│F2│ = ke │(2q12q2)│/(r/2)2 = 16 ke │q1q2│/r2 = 16 │F│.

We see that the force turns out 16 times stronger