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Chapter 1: Q9DQ (page 194)

A forceF鈫� is in the x-direction and has a magnitude that depends on x. Sketch a possible graph of F versus x such that the force does zero work on an object that moves fromx1 to x2, even though the force magnitude is not zero at all x in this range.

Short Answer

Expert verified

The graph is as follows.

Step by step solution

01

Describe the Work

The expression for the work is given by,

W=F鈫�.s鈫�

Here, is the force and is the displacement.

02

Sketch a possible graph of F versus x such that the force does zero work

Sketch the graph as follows

The force is acting in opposite direction at pointsx1 androle="math" localid="1663746823659" x2 but the magnitude is same, then the work done is zero.

The work done from pointx1 tox2 is given by,

W=Areaofx1Ax2Bx1=Areax1x2A+Areax1x2B=12fxx2-x1+12-fxx2-x1=0

Therefore, no forces act on the bob of the conical pendulum when it is swinging.

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