Please show every step of the solution for this one question:
Homework Answers
a.) The force is zero when the slope of the graph is zero, so it is at points B and D.
b.) Point B is at a stable equilibrium because you would need to use energy to move the marble away at point B.
c.) Point D is at an unstable equilibrium because, in order to move the marble away from point D, the potential energy would decrease, therefore the kinetic energy would increase making it unstable.
a)
Here ,
the minimum potential energy is at x = b ,
therefore , the labeled x -cordinates is a position of stable equibilum is
b
b)
here , at the x - cordinate = d
there is local maxima is at x = d
therefore , it is in unstable equilibrium at x = d
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Please show every step of the solution for this one
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A marble moves along the...
A particle of mass m moves in one dimension along the positive x axis. It is...
A particle of mass m moves in one dimension along the positive x axis. It is acted on by a constant force directed toward the origin with magnitude B, and an inverse-square law repulsive force with magnitude A/x^2. Find the potential energy function, U(x). Sketch the energy diagram for the system when the maximum kinetic energy is K_0 = 1/2 mv_0^2 Find the equilibrium position, x_0.
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Please show all work.
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Learning Goal: To be able to interpret potential energy diagrams
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energy, etc. Consider the potential energy diagram shown. (Figure
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