$(45$S$)$ An object with a weight of $50\mathrm{.}0$ N is attached to the free end of a light string wrapped around a reel of radius $0\mathrm{.}250$ m and mass $3\mathrm{.}00$ kg$.$ The reel is a solid disk, free to rotate in a vertical plane about the horizontal axis passing through its center. The suspended object is released $6\mathrm{.}00$ m above the floor. $($a$)$ Determine the tension in the string, the acceleration of the object, and the speed with which the object hits the floor.$$