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Question: a particle moves under the influence of a central force...

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1. A particle moves under the influence of a central force ar e Initially, the particles position and velocity are given by (expressed in S.I. units and cartesian coordinates) (4 Suppose the particles mass is 1 kg and the force constant a 3 N/m2. (a) Calculate the particles initial potential energy (in Joules). Be sure to specify the zero-point reference, i.e. the value of r youve chosen to correspond to zero potential energy (b) Calculate the particles total energy and angular momentum (again, in S.I. units). (c) Determine the distance of closest approach to the force center (S.I. units), accurate to one percent or better.
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