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# Force and Direction on a Particle

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A particle moves along the x-axis while acted on by a single conservative force parallel to the x-axis. The force corresponds to the potential-energy function graphed in the figure. The particle is released from rest at point A.

a). What is the direction of the force on the particle when it is at point A? (Positive or Negative?)

b). At point B?

c). At what value of x is the kinetic energy of the particle a maximum?

d). What is the force on the particle when it is at point {C}?

e). What value or values of x correspond to points of stable equilibrium?

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#### Solution Preview

Hello and thank you for posting your question to Brainmass.

The force is defined as:

F = - dU/dx

Namely, the negative derivative of the potential.

(a)

at point A the derivative is negative (the function U(x) is decreasing) hence teh force is ...

#### Solution Summary

The direction of the force on a particle when it is at point A and point B are determine. The maximum kinetic energy of the particle is determined on x.

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