Final answer:
The mover must apply a force of 20 N to the right to match the 20 N frictional force and keep the box moving at a constant speed.
Step-by-step explanation:
To keep the box moving to the right at a constant speed of 1 m/s, the mover must apply a force that is equal and opposite to the frictional force. Since the frictional force is 20 N to the left, the mover must apply a force of 20 N to the right. This scenario is a direct application of Newtons first law of motion, which states that an object in motion will stay in motion with the same speed and in the same direction unless acted upon by an unbalanced force.