A Magneto-Optical Trap (MOT) confines atomic particles using magnetic coils and lasers. If we model the MOT as a spherically symmetric potential, the potential energy of a rubidium atom can be approximated by the following equation: a? U(r) = -Uo- r2 + a? Where U, is the amount of energy required for an atom to escape from the potential, a gives a measurement of the spatial confinement of the MOT and ris the displacement from the minimum of the potential. Considering a rubidium atom in the MT that is slightly displaced from the cquilibrium of r= 0, it will oscillate radially. a. What is the angular frequency of oscillation, in terms of U, a and m (the mass of the rubidium atom), for these small displacements? b. If it takes 100 eV (1.6x1017 J) to escape the MOT and a = 500 nm, what is the value of w?