A particle of mass m moves along the x-axis. Its potential energy at any point x is V (x) = V, x²e* , V. = constant a. Find the force on the particle. b. Find all the points on the x- axis where the particle can be in equilibrium and 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) = V, x²e* ,
V.
constant
a. Find the force on the particle.
b. Find all the points on the x- axis where the particle can be in equilibrium
and 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) = V, x²e* , V. constant a. Find the force on the particle. b. Find all the points on the x- axis where the particle can be in equilibrium and determine whether each equilibrium point is stable or unstable. Sketch the potential energy and label the equilibrium points..
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