A particle with the potential energy shown in figure is

Chapter 10, Problem 13CQ

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QUESTION:

A particle with the potential energy shown in Figure Q10.13 is moving to the right at \(x = 5 m\) with total energy \(E\).

a. At what value or values of \(x\) is this particle’s speed a maximum?

b. Does this particle have a turning point or points in the range of \(x\) covered by the graph? If so, where?

c. If \(E\) is changed appropriately, could the particle remain at rest at any point or points in the range of \(x\) covered by the graph? If so, where?

Equation Transcription:

Text Transcription:

x = 5

E

x

x

E

x

Questions & Answers

QUESTION:

A particle with the potential energy shown in Figure Q10.13 is moving to the right at \(x = 5 m\) with total energy \(E\).

a. At what value or values of \(x\) is this particle’s speed a maximum?

b. Does this particle have a turning point or points in the range of \(x\) covered by the graph? If so, where?

c. If \(E\) is changed appropriately, could the particle remain at rest at any point or points in the range of \(x\) covered by the graph? If so, where?

Equation Transcription:

Text Transcription:

x = 5

E

x

x

E

x

ANSWER:

Step 1 of 3

Part a

Maximum particle speed

The particle has a maximum speed when the potential energy is minimum. From the given plot, the potential energy is minimum at . Therefore, the kinetic energy is maximum here. Hence, the speed of the particle is also maximum at this position.

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