A student librarian picks up a 2.2 kg book from the floor to a height of 1.10 m. He carries the book 7.8 m to the stacks and places the book on a shelf that is 0.35 m above the floor. How much work does he do on the book?

Can you calculate the total number of meters he raises the book? Multiply that by the book's weight (not the mass) for the answer you seek.

To calculate the work done on the book, we need to use the formula:

Work = Force × Distance × cos(θ)

Where:
- Force is the weight of the book, which is equal to its mass multiplied by the acceleration due to gravity (9.8 m/s²).
- Distance is the horizontal distance the book is carried.
- θ is the angle between the direction of the applied force and the displacement (in this case, it is 0 degrees, as the force is applied vertically upwards).

Let's calculate the force of the book first:

Force = mass × acceleration due to gravity
Force = 2.2 kg × 9.8 m/s²
Force = 21.56 N

Now, we can calculate the work done:

Work = Force × Distance × cos(θ)
Work = 21.56 N × 7.8 m × cos(0°)
Work = 21.56 N × 7.8 m × 1
Work = 168.25 Joules

Therefore, the student librarian does approximately 168.25 Joules of work on the book.