As part of a criminal investigation, you need to determine how much of a bullet’s energy is dissipated by a 0.500-inch piece of plywood. You construct a device that consists of three disks that are separated by a distance d = 0.950 m and rotate on a common axis. The bullet is fired through the first disk (a few inches above its center), which is composed of a light plastic that has a negligible effect on the speed of the bullet. The bullet then passes through the second disk, which is composed of 0.500 inch plywood. Finally, the bullet strikes the third disk, where it becomes embedded. The disks rotate with an angular velocity of ω = 92.0 rad/s. The angular displacement between holes in the first and second disks is Δ????12 = 0.255 rad, and the angular displacement between the holes in the second and third disks is Δ????23 = 0.273 rad. If the mass of the bullet is 15.0 g, find

(a) The initial speed of the bullet 

(b) The energy dissipated by the 0.50-inch plywood.