Tutorials in Introductory Physics
Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 13.2, Problem 1aT

Recall the definition of work done on an object by an agent that exerts a force on that object. (You may wish to consult your textbook.)
Chapter 13.2, Problem 1aT, Recall the definition of work done on an object by an agent that exerts a force on that object. (You

In the spaces provided, sketch arrows representing (1) a force exerted on an object and (2) the displacement of that object for cases in which the work done by the agent is:

In each case, does your sketch represent the only possible relative directions of the force and displacement vectors? If so, explain. If not, sketch at least one other possible set of vectors.

Expert Solution & Answer
Check Mark
To determine

The direction of the force exerted on an object and the direction of displacement of an object for different cases.

Explanation of Solution

Introduction:

Work is the measure of energy transferred when a force is applied to move an object through a displacement. Work done by a force acting on an object is equal to the product of the magnitude of the displacement and the component of force parallel to that displacement.

When work done on an object is positive, then the direction of the force exerted on an object and the direction of displacement of an object is the same.

The direction of force and displacement of an object when the work done is positive is shown in figure 1.

  Tutorials in Introductory Physics, Chapter 13.2, Problem 1aT , additional homework tip  1

Figure 1

When work done on an object is negative, then the direction of the force exerted on an object and the direction of displacement of an object is the opposite.

The direction of force and displacement of an object when work done is negative is shown in figure 2

  Tutorials in Introductory Physics, Chapter 13.2, Problem 1aT , additional homework tip  2

Figure 2

When work done is zero, then, in this case, either displacement is zero or there is no change in the kinetic energy.

The direction of force and displacement of an object when the work done is negative is shown in figure 3.

  Tutorials in Introductory Physics, Chapter 13.2, Problem 1aT , additional homework tip  3

Figure 3

Conclusion:

Therefore, the direction of force and displacement for positive, negative and zero work done is shown in figure 1, 2 and 3 respectively.

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