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A particle moves along the x-axis while acted by a conservative force described

ID: 1425906 • Letter: A

Question

A particle moves along the x-axis while acted by a conservative force described by the potential energy function as shown in the figure. What is the direction of the force on the particle at Point A? At Point C? At Point E? At Point G? If the particle is released from rest at point B, describe the motion of the particle. At what point does the particle have the most kinetic energy? What are the positions corresponding to points of stable equilibrium? Of unstable equilibrium? Describe the motion of the particle if it is instead released from rest at Point H?

Explanation / Answer

a)the direction of the force in the direction of acceleration because F=ma

at point A the direction of the force is downward direction,at points E,C force is in horizontal direction

at point G is upward direction

b)at point B particle is in downward direction

c)at points B,D,G particle has max kinetic energy because at these points particles have max velocity

d)A,H are stable equilibrium points because they are in same direction ,atE it has unstable equilibrium

e)particle is in upward direction at point H

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