Question

Does the work you do on a book when you lift it onto a shelf depend on the path taken? On the time taken? On the height of the shelf? On the mass of the book?

a) Path and time taken affect work; height and mass do not.
b) Path and time taken do not affect work; height and mass do.
c) Path, time taken, and height affect work; mass does not.
d) Only mass affects the work done.

Answer 1

The work you do on a book when you lift it onto a shelf depends on the path taken, the height of the shelf, and the mass of the book. The time taken does not affect the work done.

Step-by-step explanation:

The work you do on a book when you lift it onto a shelf depends on the path taken, the height of the shelf, and the mass of the book. The time taken does not affect the work done. When you lift an object against gravity, the work done is equal to the force applied multiplied by the displacement in the direction of the force. In this case, the force applied is equal to the weight of the book, which is the mass of the book multiplied by the acceleration due to gravity (9.8 m/s^2).

The work done is given by the equation:

Work = force × displacement × cos(θ)

where θ is the angle between the applied force and the direction of displacement. Since the book is lifted vertically up to the shelf, the displacement is in the same direction as the applied force, so θ = 0. Therefore, the work done is:

Work = weight × height

So, the work done on the book when you lift it onto a shelf depends on the height of the shelf and the mass of the book, but not on the path taken or the time taken.