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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

Consider a tug-of-war as in Figure CQ5.1, in which two teams pulling on a rope are evenly matched so that no motion takes place. Is work done on the rope? On the pullers? On the ground? Is work done on anything?

images

Figure CQ5.1

To determine
Whether there is any work done on the rope, pullers, ground and on anything.

Explanation

The work done on an object is,

W=Fd

  • F is the force on the object
  • d is the displacement vector

Since, the rope is not having any displacement; the dot product in the above expression is zero. Thus, the work done on the rope is zero.

The pullers of the rope are not making any displacement on the ground; therefore, the work done on the ground is also zero.

Since, there is no displacement is happening in the process given, thus, there is no work done on anything.

Conclusion:

Thus, there is no work done on the rope, pullers, ground and on anything in the situation.

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