Consider the motion of a 1.00 kg particle that moves with potential energy given by U(x) = -(2.0 J∙m) /x + (4.0 J∙m2) /x2. Suppose the particle is moving with a speed of 3.00 cm/s when it is located at x = 3.00 m. At which other position would the speed be equal to 3.00 cm/s?
A) 3.00 m
B) 6.00 m
C) 4.50 m
D) 5.00 m
E) The only position at which the speed is 3.00 cm/s is at x = 3.00 m.
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