A particle moves in a dimension subjected to a force associated with an energy shape potential a) find the equilibrium positions of the particle and tell what type they are. (B) represent E, (x). c) give the expression of the force as a function of "x" and indicate what is the meaning of this force in each interval

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A particle moves in a dimension subjected to a force associated with an energy
shape potential
a) find the equilibrium positions of the particle and tell what type they are.
(B) represent E, (x).
c) give the expression of the force as a function of "x" and indicate what is the meaning of this force
in each interval
d) analyze the possible movements of the particle for the different values of its
mechanical energy
e) consider the case where the particle has a mechanical energy E = 1 J and AT T = 0 su
position is x=-1 m.
I. €what is the kinetic energy of it for Time t = O and what kind of
movement performed ?
what point does this particle reach its kinetic energy and what is its value?
Note
Accurately define all the physical quantities used.
In mathematical developments clearly justify the steps.

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