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A book, no matter where it sits, is an organized and bound assembly of paper with
information stored on it.
The book has some mass, and like any mass, its gravitational potential energy relative
to the floor can be defined in terms of its mass and its distance above the floor.
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Does a book sitting on a shelf have gravitational potential energy?
YES!
A book and a feather sitting next to each other on a shelf have same potential energies?
No. The potential energy of an obect also depends on its mass.
Is Book on a high shelf chemical or potential energy?
Potential energy.
The kinetic energy of a book on a shelf is equal to the work done to lift the book to the shelf?
no, but the POTENTIAL energy may equal the work done to life the book to the shelf
What is the relationship between the work done to lift a book to place it on a bookshelf and the potential energy of the book on the shelf?
There is no direct relationship because the potential energy of the book on the shelf is defined relative to an arbitrary base line at which the potential energy would be zero. The work done in raising the book is the increase in the potential energy of book from however much PE it had in its previous location - for example, on a lower shelf.
