Which change in force would stop this box from moving?

adding 6 N of force pulling to the left

subtracting 8 N of force pulling to the left

subtracting 8 N of force pulling to the right

adding 6 N of force pulling to the right

The change in force that would stop the box from moving is subtracting 8 N of force pulling to the right.

To stop the box from moving, an equal and opposite force should be applied to counteract the force that is causing the box to move. In this case, the box is being pulled to the left.

To stop the box from moving, you would need to subtract 6 N of force pulling to the left.

To determine which change in force would stop the box from moving, you need to consider the net force acting on the box. The net force is the vector sum of all the forces acting on the object.

In this case, we have four scenarios:

1. Adding 6 N of force pulling to the left: If there is no other force acting on the box, adding 6 N of force pulling to the left will increase the net force in that direction. Since the force is applied in the same direction as the box's initial motion, it will accelerate the box, not stop it.

2. Subtracting 8 N of force pulling to the left: Subtracting 8 N of force pulling to the left will decrease the net force in that direction. If the remaining forces on the box are insufficient to counteract the box's initial motion, it will continue to move.

3. Subtracting 8 N of force pulling to the right: Subtracting 8 N of force pulling to the right will also decrease the net force in that direction. If the remaining forces on the box are still greater than the opposing forces, the box will continue to move.

4. Adding 6 N of force pulling to the right: Adding 6 N of force pulling to the right will increase the net force in that direction. If the new net force exceeds the opposing forces, it will accelerate the box in the opposite direction and eventually stop its motion.

From the given options, the change in force that would stop the box from moving is "adding 6 N of force pulling to the right."

Keep in mind that the actual motion of an object depends on various factors, such as mass, friction, and other external forces. This explanation assumes an ideal scenario without considering these additional factors.