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Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker
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The potential energy of a particle moving along the x axis

Chapter 8, Problem 59P

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QUESTION:

The potential energy of a particle moving along the x axis is shown in Figure 8–24. When the particle is at \(x=1.0\ \mathrm m\) it has 3.6 J of kinetic energy. Give approximate answers to the following questions. (a) What is the total mechanical energy of the system? (b) What is the smallest value of x the particle can reach? (c) What is the largest value of x the particle can reach?

Equation Transcription:

Text Transcription:

x=1.0 m

Questions & Answers

QUESTION:

The potential energy of a particle moving along the x axis is shown in Figure 8–24. When the particle is at \(x=1.0\ \mathrm m\) it has 3.6 J of kinetic energy. Give approximate answers to the following questions. (a) What is the total mechanical energy of the system? (b) What is the smallest value of x the particle can reach? (c) What is the largest value of x the particle can reach?

Equation Transcription:

Text Transcription:

x=1.0 m

ANSWER:

Step 1 of 3

Part a

We are required to calculate the system’s total mechanical energy.

At x = 1.0 m, the kinetic energy is 3.6 J. From the plot, the potential energy at x = 1.0 m is approximately 5.0 J.

Therefore, the total mechanical energy of the system is J

                                                                                           J

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