a student is putting three books onto a bookcase that has three shelves. the student wishes to arrange the…

a student is putting three books onto a bookcase that has three shelves. the student wishes to arrange the books on the shelves in order to get the highest possible potential energy for each book with respect to earth. drag each book to the shelves in the bookcase so that the potential energy is as high as possible. each shelf may contain up to three books or no books at all.

a student is putting three books onto a bookcase that has three shelves. the student wishes to arrange the books on the shelves in order to get the highest possible potential energy for each book with respect to earth. drag each book to the shelves in the bookcase so that the potential energy is as high as possible. each shelf may contain up to three books or no books at all.

Answer

Answer:

Place all three books on the top - most shelf.

Explanation:

Step1: Recall potential energy formula

The gravitational potential energy formula is $U = mgh$, where $m$ is mass, $g$ is the acceleration due to gravity, and $h$ is the height above the ground.

Step2: Analyze height and potential energy

For a fixed mass of the books ($m$) and a constant $g$ (on Earth's surface), the potential energy $U$ is directly proportional to the height $h$.

Step3: Determine optimal placement

To maximize the potential energy of each book and the total potential energy of the system of books, we need to place the books at the maximum height available. So, we place all three books on the top - most shelf of the bookcase.