Using a horizontal force F, a table is moved across the floor at a constant velocity. How much is the frictional force exerted by the floor on the table?
The frictional force exerted by the floor on the table is F.
Explanation
Since the table is moving at a constant velocity, the net force acting on it must be zero, meaning the forces are balanced. The applied horizontal force F and the frictional force are acting in opposite directions. According to the context, when forces are balanced, the applied force is equal to the opposing force of friction. Therefore, the magnitude of the frictional force must be equal to the applied force F.
Solution Steps
Step 1: Note that the table is moving at a constant velocity, which means the net force acting on it is zero (forces are balanced).
Step 2: Recognize that the applied horizontal force (F) and the frictional force act in opposite directions.
Step 3: Conclude that for the forces to be balanced, the frictional force must be equal in magnitude to the applied force, which is F.