Final answer:
The work done on a book when lifted at a constant speed is equal to the change in its gravitational potential energy.
Step-by-step explanation:
The work done on a book, W, and the change in gravitational potential energy, ΔU, of a book when you lift it at a constant speed are related. When you lift the book at a constant speed, the work done on the book is equal to the change in its gravitational potential energy. This is because the work done against gravity in lifting the book is stored as gravitational potential energy.
For example, if you lift a book onto a shelf, the work done to lift the book is equal to the gravitational potential energy gained by the book. The amount of work done on the book does not depend on the path taken, the time taken, the height of the shelf, or the mass of the book.