Answer:
μk = 0.08
Explanation:
- Applying the work-energy theorem, we know that the change in kinetic energy of the box, is equal to the total work done on it.
- The only force acting on the box capable of doing work, is the dynamic friction force.
- This force is just the product of the coefficient of kinetic friction, and the normal force.
- In this case, if the floor is level, the normal force is equal and opposite to the gravity force, Fg.
- So we can write the following expression:
- Replacing by the givens, we can solve for μk, as follows: