A book is at rest on a flat table. Aa person gives the book a shove and it slides across the table. The book eventually comes to rest again near the edge of the table. How does the potential and kinetic energy change during this process?(1 point) Responses The potential energy increases as the book is pushed across the table. The kinetic energy stays the same since the book was shoved. The potential energy increases as the book is pushed across the table. The kinetic energy stays the same since the book was shoved. 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. 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. The potential stays the same since the book is on the table. The kinetic energy stays the same since the book was only shoved. The potential stays the same since the book is on the table. The kinetic energy stays the same since the book was only shoved. The potential and kinetic energy are the same while the book is sitting on the table. They both increase when the book is shoved and then decrease as the book comes to rest again.

Question

GPT-4o mini · Answer

The correct response to how the potential and kinetic energy change during the process 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:

Potential Energy: The potential energy of the book does not change while it is on the table, assuming the height does not change. Since the book is on a flat surface and remains at the same height, the potential energy stays the same.
Kinetic Energy: When the person gives the book a shove, the kinetic energy of the book increases as it gains speed. As the book slides across the table, it gradually slows down due to friction, causing its kinetic energy to decrease until it comes to rest.

Thus, potential energy remains constant and kinetic energy increases initially, then decreases as the book slides to a stop.