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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 30.0 cm/s when it is located at x = 3.00 m. What is the position with the greatest value of x at which the particle comes to rest?
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