a person moves a book from a 30 - cm high coffee table to the top shelf of a bookshelf approximately 2.5 m…

a person moves a book from a 30 - cm high coffee table to the top shelf of a bookshelf approximately 2.5 m high. which statement correctly describes the gravitational potential energy of the book? it has more gravitational potential energy on the table than on the shelf. it has more gravitational potential energy on the shelf than on the table. its gravitational potential energy is constant regardless of its position. done

a person moves a book from a 30 - cm high coffee table to the top shelf of a bookshelf approximately 2.5 m high. which statement correctly describes the gravitational potential energy of the book? it has more gravitational potential energy on the table than on the shelf. it has more gravitational potential energy on the shelf than on the table. its gravitational potential energy is constant regardless of its position. done

Answer

Explanation:

Step1: Recall gravitational - potential - energy formula

The gravitational potential energy formula is $U = mgh$, where $m$ is the mass of the object, $g$ is the acceleration due to gravity ($g\approx9.8\ m/s^{2}$ on Earth), and $h$ is the height of the object above a reference level.

Step2: Compare heights

The height of the coffee - table $h_1=30\ cm = 0.3\ m$, and the height of the bookshelf $h_2 = 2.5\ m$. Since $h_2>h_1$ and $U = mgh$ (assuming the mass $m$ and $g$ are constant), the gravitational potential energy $U$ is directly proportional to the height $h$. So, the book has more gravitational potential energy at a greater height.

Answer:

It has more gravitational potential energy on the shelf than on the table.