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The potential energy of a three-dimensional force is given by U(x, y, z) = . (a) Derive F x F y , and F z , and then describe the vector force at each point in terms of its coordinates x, y, and z. (b) Convert to spherical polar coordinates and find Fr. The potential energy of a three-dimensional force is given by U(x, y, z) =. (a) Derive Fx Fy, and Fz, and then describe the vector force at each point in terms of its coordinates x, y, and z. (b) Convert to spherical polar coordinates and find Fr.
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