The most accurate response regarding the changes in potential and kinetic energy during the process described 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:
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Potential Energy: The potential energy of the book remains constant throughout the process as long as it stays on the flat table. The height of the book is not changing significantly (assuming the table is flat), so its gravitational potential energy remains the same.
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Kinetic Energy: The kinetic energy of the book increases when the person pushes it (the shove adds energy to the book), leading to an increase in its velocity. As the book slides across the table, it eventually experiences friction (or air resistance) that slows it down, decreasing its kinetic energy until it comes to rest.
So, the correct understanding of energy changes in this scenario involves the stability of potential energy and the increase and subsequent decrease of kinetic energy as the book moves.