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University Physics with Modern Physics with Mastering Physics (11th Edition)

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7.86: a) The slope of the U vs . x curve is negative at point A , so x F is positive (Eq. (7.17)). b) The slope of the curve at point B is positive, so the force is negative. c) The kinetic energy is a maximum when the potential energy is a minimum, and that figures to be at around 0.75 m. d) The curve at point C looks pretty close to flat, so the force is zero. e) The object had zero kinetic energy at point A , and in order to reach a point with more potential energy than
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Unformatted text preview: ) ( A U , the kinetic energy would need to be negative. Kinetic energy is never negative, so the object can never be at any point where the potential energy is larger than ) ( A U . On the graph, that looks to be at about 2.2 m. f) The point of minimum potential (found in part (c)) is a stable point, as is the relative minimum near 1.9 m. g) The only potential maximum, and hence the only point of unstable equilibrium, is at point C ....
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