Question

The potential energy function for a system of particles is given by U(x) = -4x^3 + 4x^2 + 7x, where x is the position of one particle in the system. (a) Determine the force Fx on the particle as a function of x. Fx = (b) For what values of x is the force equal to zero? (Enter your answers from smallest to largest.) x= x= (c) Plot U(x) versus x and plot Fx versus x on a graph. (D) Indicate the values of x that correspond to the points of stable and unstable equilibrium. Unstable equilibrium: Stable equilibrium:

          The potential energy function for a system of particles is given by U(x) = -4x^3 + 4x^2 + 7x, where x is the position of one particle in the system.

(a) Determine the force Fx on the particle as a function of x.
Fx = 

(b) For what values of x is the force equal to zero? (Enter your answers from smallest to largest.)
x=
x=

(c) Plot U(x) versus x and plot Fx versus x on a graph.

(D) Indicate the values of x that correspond to the points of stable and unstable equilibrium.
Unstable equilibrium:
Stable equilibrium:

Added by Dana B.

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