(d) What is the force acting on the particle when x = (e) Find all equilibrium positions of the particle. Remember, an equilibrium position is any position where the force goes to zero. For each equilibrium position you find, determine whether it is stable, unstable, or neutral. 1.50 m?

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A particle of mass m = 1.50 kg moves along one dimension and is subject to a single
force, whose potential energy function is given by U(x) = x4 – 2x2 + 4 (where U is
measured in Joules and x is measured in meters). At the moment when the particle is
located at position x =
1.50 m, its speed is v = 2.50 m/s.
%3D
Transcribed Image Text:A particle of mass m = 1.50 kg moves along one dimension and is subject to a single force, whose potential energy function is given by U(x) = x4 – 2x2 + 4 (where U is measured in Joules and x is measured in meters). At the moment when the particle is located at position x = 1.50 m, its speed is v = 2.50 m/s. %3D
(d) What is the force acting on the particle when x = 1.50 m?
(e) Find all equilibrium positions of the particle. Remember, an equilibrium
position is any position where the force goes to zero. For each equilibrium
position you find, determine whether it is stable, unstable, or neutral.
Transcribed Image Text:(d) What is the force acting on the particle when x = 1.50 m? (e) Find all equilibrium positions of the particle. Remember, an equilibrium position is any position where the force goes to zero. For each equilibrium position you find, determine whether it is stable, unstable, or neutral.
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