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Physics / Physics for Scientists and Engineers, 6 / Chapter 7 / Problem 31

Physics for Scientists and Engineers, | 6th Edition | ISBN: 9781429201247 | Authors: Paul A. Tipler, Gene Mosca

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The potential energy of a 4.0-kg object constrained to the

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QUESTION:

The potential energy of a 4.0-kg object constrained to the x axis is given by for and for where U is in joules and x is in meters, and the only force acting on this object is the force associated with this potential- energy function. (a) At what positions is this object in equilibrium? (b) Sketch a plot of U versus x. (c) Discuss the stability of the equilibrium for the values of x found in Part (a). (d) If the total mechanical energy of the particle is what is its speed at

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QUESTION:

The potential energy of a 4.0-kg object constrained to the x axis is given by for and for where U is in joules and x is in meters, and the only force acting on this object is the force associated with this potential- energy function. (a) At what positions is this object in equilibrium? (b) Sketch a plot of U versus x. (c) Discuss the stability of the equilibrium for the values of x found in Part (a). (d) If the total mechanical energy of the particle is what is its speed at

ANSWER:

Step 1 of 5

(a)

Potential energy function: for

Potential energy function: for

Now force acting on the object constrained to axis,

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