e. Suppose you know the total energy of a system. What other information can be obtained from analyzing a potential energy graph? Explain.
e. Suppose you know the total energy of a system. What other information can be obtained from analyzing a potential energy graph? Explain.
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Solve part e
Transcribed Image Text:1. An engineer working at an industrial spring company designs a spring that obeys a
force law
F(x) = -c(x – xeq)³
where c is a positive constant and xeg is the equilibrium position of the spring.
a. What are the units of the constant c? Explain.
b. Let the equilibrium position Xeq
potential energy as a function of position.
= 0 and derive an expression for the system's
c. Make a graph of the force F(x) function and the potential energy U(x) function.
d. Explain what an equilibrium position is and how you can find them from a graph
of potential energy versus position. Determine if there are any equilibrium positions
using your potential energy function. For each position determined, are they stable or
unstable?
e. Suppose you know the total energy of a system. What other information can be
obtained from analyzing a potential energy graph? Explain.
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