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:
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Potential Energy: The potential energy of the book remains constant while it is on the table, assuming the height of the table does not change. Potential energy depends on height, and as long as the book is on the same level (the surface of the table), the potential energy remains unchanged.
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Kinetic Energy: When the book is shoved, it gains kinetic energy because it starts moving. As it slides across the table, friction between the book and the table will do work against the motion of the book, causing the kinetic energy to decrease until the book comes to a stop again at the edge of the table.
Thus, there is an increase in kinetic energy when the book is shoved, which gradually decreases due to friction as the book slides.