When two negatively charged objects are brought near each other, they will repel each other due to the like charges. This means that they experience a repulsive force.
- The two objects have no influence on each other: False
- The potential energy decreases: False
- The potential energy increases: True (as they are moved closer, the potential energy increases)
- Both a repulsive force and an attractive force is produced: False (only a repulsive force is present)
Therefore, the correct answer is the potential energy increases when two negatively charged objects are brought near each other.