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Chapter 7: Q8 CQ (page 258)

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?

Short Answer

Expert verified

The work done on a book when it is lifted onto a shelf doesn鈥檛 depend on the path and on the time taken, but it depends on the height of the shelf and the mass of the book.

Step by step solution

01

Step 1: Definition of Concept

Potential energy: The work done on the object to displace it against the conservative gravitational force is stored in the form of potential energy which is given as,

W=P.E.=mg(h2-h1)

(1.1)

Here, m is the mass of an object, g is the acceleration due to gravity, h2is the final height of the object, and h1is the initial height of the object.

02

Explain the work done on a book when it is lifted

From equation (1.1), it is clear that the work done on a book when it is lifted onto a shelf depends on the height of the self and on the mass of the book and is independent of the path and the time taken.

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