Solved: Figure 7.22a shows the potential-energy function

Chapter 7, Problem 18DQ

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QUESTION:

Figure 7.22a shows the potential-energy function for the force \(F_{x}=-k x\). Sketch the potential-energy function for the force \(F_{x}=+k x\). For this force, is x = 0 a point of equilibrium? Is this equilibrium stable or unstable? Explain.

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QUESTION:

Figure 7.22a shows the potential-energy function for the force \(F_{x}=-k x\). Sketch the potential-energy function for the force \(F_{x}=+k x\). For this force, is x = 0 a point of equilibrium? Is this equilibrium stable or unstable? Explain.

ANSWER:

Solution 18DQ

Step 1:

For the force, ,

The potential energy would be,

    .

The graph of this will look like,

         p1.jpg

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