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A 10 g particle has the potential energy shown in

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition | ISBN: 9780321740908 | Authors: Randall D. Knight ISBN: 9780321740908 69

Solution for problem 39P Chapter 11

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition | ISBN: 9780321740908 | Authors: Randall D. Knight

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition

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Problem 39P

Problem 39P

A 10 g particle has the potential energy shown in FIGURE.

a. Draw a force-versus-position graph from x = 0 cm to x =8 cm.

b. How much work does the force do as the particle moves from x =2cm to x =6 cm?

c. What speed does the particle need at x =2cm to arrive at x = 6 cm with a speed of 10 m/s?

FIGURE

Step-by-Step Solution:

Solution 39P

Step 1 of 4

(a)

From the given potential energy graph for a particle with mass , we need to draw force versus position graph.

  • To derive relation between force and potential energy,

From work energy theorem, we know that work done during the process will be equal to the negative of change in potential energy.

That is,                                 

Using work done as product of force and displacement

                

                                                                

……...1

Step 2 of 4

Chapter 11, Problem 39P is Solved
Step 3 of 4

Textbook: Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Edition: 3
Author: Randall D. Knight
ISBN: 9780321740908

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A 10 g particle has the potential energy shown in