A book is at rest on a flat table a person give us a bookshelf, and it slides across the table. The book eventually comes to rest again near the edge of the table. How did the pro Teschner and kinetic energy change during this process
During this process, both the potential energy (PE) and the kinetic energy (KE) of the book change.
Initially, when the book is at rest on the flat table, it has zero kinetic energy as it is not in motion. However, it has potential energy due to its position above the ground. This potential energy is given by the equation PE = mgh, where m is the mass of the book, g is the acceleration due to gravity, and h is the height of the book from the ground.
As the person gives a push to the bookshelf, it starts moving across the table. Initially, the book will have both potential energy and kinetic energy. As it moves, the potential energy decreases because it gets closer to the ground, while the kinetic energy increases because its velocity is increasing. This transfer of energy occurs due to the work being done on the book by the person pushing it.
Eventually, the book comes to rest again near the edge of the table. At this point, its kinetic energy becomes zero again because it has stopped moving. However, the potential energy will still be less than its initial value since it is now lower to the ground.
Overall, the potential energy decreases, while the kinetic energy increases initially, and then both decrease again as the book comes to rest again.