A particle of mass m moves along the x-axis. Its potential energy at any point x is, V(x) = Voz²e=z². Vo = constant. a. Find the force on the particle. b. Find all the points on the x-axis where the particle can be in equilibrium. Determine whether each equilibrium point is stable or unstable. Sketch the potential energy and label the equilibrium points.

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A particle of mass m moves along the x-axis. Its potential
energy at any point x is,
V(x) = Vox²e¬z².
Vo = constant.
%3D
a. Find the force on the particle.
b. Find all the points on the x-axis where the particle can be
in equilibrium. Determine whether each equilibrium point is
stable or unstable. Sketch the potential energy and label
the equilibrium points.
Transcribed Image Text:A particle of mass m moves along the x-axis. Its potential energy at any point x is, V(x) = Vox²e¬z². Vo = constant. %3D a. Find the force on the particle. b. Find all the points on the x-axis where the particle can be in equilibrium. Determine whether each equilibrium point is stable or unstable. Sketch the potential energy and label the equilibrium points.
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