The correct option 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 a brief explanation:
- The potential energy of the book remains constant while it is on the table because its height relative to a reference point does not change.
- When the person gives the book a shove, its kinetic energy increases as it starts to move.
- As the book slides across the table, friction acts on it, causing its kinetic energy to decrease gradually until it comes to rest near the edge of the table.
Overall, while the book slides, its kinetic energy transitions from a higher value (when shoved) to zero (when it stops), while the potential energy remains constant throughout the process.