The correct understanding of the changes in potential and kinetic energy during the process described would be:
- The potential energy will stay the same as long as the book stays on the table, because its height above a reference point (the table) does not change.
- The kinetic energy increases when the book is shoved, as it gains speed from the applied force, and then it gradually decreases as friction and other forces (like air resistance) act on it while sliding across the table until it comes to rest.
So, the best response would be: "The potential energy will stay the same as long as the book stays on the table. The kinetic energy increases when the book is shoved and then gradually decreases as it slides across the table and then comes to rest on the edge."