Final answer:
Doubling the charge on both objects results in the electrostatic force being quadrupled according to Coulomb's Law.
Step-by-step explanation:
If two charged objects are repelling each other and if the charge on both objects is doubled, the electrostatic force between them, according to Coulomb's Law, will increase. Coulomb's Law formula is F = k * (|q1*q2|) / r2, where F is the force between the charges, q1 and q2 are the magnitudes of the charges, r is the distance between the centers of the two charges, and k is Coulomb's constant. When both charges are doubled, the new force can be calculated by (2q1)*(2q2) which is 4 times the original product of the charges, hence the force becomes 4F, where F is the original force. Therefore, if the charges on both objects are doubled, the resulting force will be quadrupled.