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 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).