Answered: Explain How to use the relationship…

Name: Explain How to use the relationship between total work and change in k
Uploaded: 2024-03-20T06:57:25.000Z
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Description: Explain How to use the relationship between total work and change in kinetic energy when the forces are not constant, the object follows a curved path, or both?

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter7: Work, Energy, And Energy Resources

Section: Chapter Questions

Problem 21CQ: Explain why it is easier to climb a mountain on a zigzag path rather than one straight up the side....

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Explain How to use the relationship between total work and change in kinetic energy when the forces are not constant, the object follows a curved path, or both?

Expert Solution

Step 1

We know, the work-energy theorem when a constant force acts:

Step 2

We can now prove that this theorem is true even when the force varies with position.

Since the force is varying, we'll use the integral form of the work-done equation. Imagine dividing displacement due to varying force in small segments and taking its limiting value. We get.

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