a book is falling from the top shelf of a bookcase. which statement correctly describes the change in the…

a book is falling from the top shelf of a bookcase. which statement correctly describes the change in the energy of the book?\nthe potential energy and kinetic energy remain the same.\nthe potential energy decreases as kinetic energy increases.\nthe kinetic energy decreases as potential energy increases.\nthe kinetic energy remains at zero, but potential energy increases.

a book is falling from the top shelf of a bookcase. which statement correctly describes the change in the energy of the book?\nthe potential energy and kinetic energy remain the same.\nthe potential energy decreases as kinetic energy increases.\nthe kinetic energy decreases as potential energy increases.\nthe kinetic energy remains at zero, but potential energy increases.

Answer

Brief Explanations:

The total mechanical energy of the book (sum of potential and kinetic energy) is conserved in the absence of non - conservative forces like air resistance. As the book falls, its height above the ground decreases, so its gravitational potential energy $U = mgh$ (where $m$ is mass, $g$ is gravitational acceleration, and $h$ is height) decreases. At the same time, its speed $v$ increases, and its kinetic energy $K=\frac{1}{2}mv^{2}$ increases.

Answer:

The potential energy decreases as kinetic energy increases.