The correct response is:
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.
Here's the reasoning behind this answer:
-
Potential Energy (PE): The potential energy of the book remains constant as it is on a flat table, assuming there is no change in height. The height of the book relative to the gravitational field does not change while it stays on the table.
-
Kinetic Energy (KE): The kinetic energy of the book increases when it is shoved because work is done on it, giving it speed. As the book slides and friction opposes its motion, its kinetic energy gradually decreases until it comes to rest near the edge of the table.
Therefore, throughout this process, potential energy remains constant, while kinetic energy changes—first increasing due to the shove and then decreasing as the book comes to rest.