Question

A book is at rest on a flat table. A 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 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 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.
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.

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 stays the same since the book is on the table. The kinetic energy stays the same since the book was only shoved.

1 answer

The most accurate response regarding the changes in potential and kinetic energy during this 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 (PE): The potential energy of the book remains constant while it is resting on the flat table because there are no changes in height; both its position and the gravitational force acting on it remain the same.
  • Kinetic Energy (KE): When the person shoves the book, its kinetic energy increases due to the applied force. As the book slides across the table, it eventually slows down due to friction, which causes its kinetic energy to decrease until it comes to rest.

Therefore, during the entire process, the potential energy remains constant, while the kinetic energy changes.

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