A potential energy function is given by U = A x^3 + B x^2 − C x + D . For positive parameters A, B, C, D this potential has two equilibrium positions, one stable and one unstable. a)Find the stable equilibrium position for A = 0.85 J/m3, B = 0.65 J/m2, C = 2.5 J/m , and D = −1.2 J . Answer in units of m. b)What is the unstable equilibrium position? Answer in units of m.
A potential energy function is given by U = A x^3 + B x^2 − C x + D . For positive
parameters A, B, C, D this potential has two equilibrium positions, one stable and one unstable.
a)Find the stable equilibrium position for
A = 0.85 J/m3,
B = 0.65 J/m2,
C = 2.5 J/m , and
D = −1.2 J .
Answer in units of m.
b)What is the unstable equilibrium position? Answer in units of m.
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