$(10$ pts $)$ A block is attached to a cord which is wrapped around a pulley which is in the form of a disk with radius $0\mathrm{.}2$ m $.$ The system is released from rest. The mass of the disk is the same as the mass of the block and the axis of rotation goes through the center of the disk $($CM$).$

Determine the speed of the block after it has moved a distance $0\mathrm{.}5$ m $.$