Final answer:
The valid qualitative equation that includes all the input and output energies involved in the book hitting the floor is D) Gravitational potential energy + kinetic energy = heat energy + sound energy.
Step-by-step explanation:
The valid qualitative equation that includes all the input and output energies involved in the book hitting the floor is D) Gravitational potential energy + kinetic energy = heat energy + sound energy.
When a book hits the floor, the initial gravitational potential energy of the book is converted into kinetic energy as it falls. Upon colliding with the floor, some of the kinetic energy is converted into heat energy due to frictional heat between the book and the floor, and into sound energy as the collision produces sound waves.