2- (5 Points) A particle of mass m moves on the x axis with potential energy V (x) = E0 a4(x 4+4ax3−8a2x2), where E0,a >

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2- (5 Points) A particle of mass m moves on the x axis with potential energy V (x) = E0 a4(x 4+4ax3−8a2x2), where E0,a >

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2- (5 Points) A particle of mass m moves on the x axis with potential energy V (x) = E0 a4(x 4+4ax3−8a2x2), where E0,a > 0.a. Find the positions at which the particle is in stable equilibrium.b. Find the angular frequency of small oscillations about each stable equilibrium position.c. How much energy need to be given to a particle at the lower stable point to go to the higher stable point?d. Could a particle escape this potential? Why or why not?
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