Final answer:
The new force between two objects when the distance is reduced from 20 m to 10 m is 80 N.
Step-by-step explanation:
According to Coulomb's law, the force (F) between two charged objects is inversely proportional to the square of the distance (d) between them. So, if the distance between two objects is reduced from 20 m to 10 m, the new force can be calculated using the formula:
F2 = F1 * (d1/d2)^2
where F1 is the initial force, d1 is the initial distance, F2 is the new force, and d2 is the new distance. Plugging in the values:
F2 = 20 N * (20 m / 10 m)^2
F2 = 80 N