You drag a heavy box along a rough horixontal floor by a horizontal rope. Identify the reaction force to each ofthe follwing forces: A) the pull of the tope on the box. B) the friction force on the box C) the normal force on the box, and D) the weight of the box.

B is the reaction of A and vice versa.

D is the reaction of C and vice versa.

what does it mean in the question identify the reaction force is there a certain name???

Newton's third law says that for every action there is a reaction.

So when you pull the box resting on a rough surface, there is a resistance due to the friction between the box and the surface. This resistance is the reaction to the pulling force, the force that balances the applied force.

The same for the weight of the box, which acts downwards. Since it is in equilibrium, i.e. no motion in the vertial direction, there has to be a reaction, which is the reaction from the surface, a force which acts upwards to balance out the weight of the box.

These four forces form two couples. The two forces in each couple act as the reaction of each other.

If you want some further reading, try googling "Newton's third law", or perhaps:
http://www.glenbrook.k12.il.us/GBSSCI/PHYS/CLASS/newtlaws/u2l4a.html

"B is the reaction of A and vice versa. "

is meant to be:
the friction force on the box is the reaction of the pull of the tope on the box and vice versa.

To identify the reaction force to each of the given forces, we need to understand Newton's third law of motion, which states that for every action, there is an equal and opposite reaction.

A) The pull of the rope on the box: The reaction force to the pull of the rope on the box is the pull of the box on the rope. As per Newton's third law, if the rope is pulling the box with a certain force, the box is also pulling the rope in the opposite direction with an equal force.

B) The friction force on the box: The reaction force to the friction force on the box is the frictional force exerted by the box on the floor. When the box slides along the rough floor, there is friction between the box and the floor, and according to Newton's third law, the floor exerts an equal and opposite frictional force on the box.

C) The normal force on the box: The reaction force to the normal force on the box is the weight of the box. The normal force acts perpendicular to the surface of contact between the box and the floor. Since the box is resting on the floor, the normal force exerted by the floor on the box is equal in magnitude but in the opposite direction to the weight of the box.

D) The weight of the box: The reaction force to the weight of the box is the normal force exerted by the floor on the box. When an object is placed on a surface, the surface reacts by pushing back against the weight of the object, providing a counterforce known as the normal force.

In summary:
- The reaction to the pull of the rope on the box is the pull of the box on the rope.
- The reaction to the friction force on the box is the frictional force exerted by the box on the floor.
- The reaction to the normal force on the box is the weight of the box.
- The reaction to the weight of the box is the normal force exerted by the floor on the box.