A movable pulley is held up by a rope that is attached to a solid mount at one end and a spring attached to solid mount at the other. The pulley has a mass of $0\mathrm{.}60$ kg$,$ and the spring constant has a stiffness of $423$ N$/$m $($J$/$m$2).$ If the mass is held in place so that the spring is unstretched, then it is released, how fast will the mass be moving when it is halfway to the bottom of its bounce? Model the pulley as a disk to account for its rotational energy. Answer to three decimal places.