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We don't know that F x r = 0. We are trying to determine whether it is or not, and I am not sure what to use for r.

Homework Statement For each of the following potential energy functions in three dimensions, what quantities are conserved (energy, momentum, angular momentum)?Homework Equations U = k/2(x^2 + y^2) U = α/r U = β(z(hat) dotted with r)^2 U = α/r + β(z(hat) dotted with r)^2 Where z(hat) is the...