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A particle of mass m approaches a region of force starting from r 0 The...

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A particle of mass m approaches a region of force starting from r 0 The potential energy function in terms of distance r from the origin is given by U r where a b c K 3 a r for 0 r a K r for r a 3 2 a K 0 positive constant Derive the force F r and determine whether it is repulsive or attractive With what velocity should the particle start at r to cross over to other side of the origin If the velocity of the particle at r is 2 K am towards the origin describe the motion

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