Final answer:
The balanced pair of forces is 5 N to the West and 5 N to the East since they have equal magnitude and opposite directions, resulting in no net force.
Step-by-step explanation:
The question is asking about balanced forces, which occurs when the magnitude and direction of two forces acting on an object are equal but opposite, resulting in no net force on the object. In this case, the pair of forces that is balanced is c) 5 N to the West and 5 N to the East. When forces are balanced, there is no change in the object's motion, meaning it will remain at rest if initially at rest, or continue to move at a constant velocity if already in motion.