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When a particle is a distance r from the origin, its potential energy function is given by the equation U(r) = kr, where k is a constant and r = x2 + y2 + z2 . Please provide step-by-step method to solve problem.

(a) What are are the SI units of k?

(b) Find out a mathematical expression in terms of x, y, and z for the y-component of the force on the particle.

(c) If U = 3.00 J when the particle is 2.00 m from the origin, find the numerical value of the y-component of the force on this particle when it is at the point (-1.00 m, 2.00 m, 3.00 m).

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