A block of mass m is attached to a spring by a rope that hangs over a pulley of mass M and radius R, as shown in the figure. Treating the pulley as a solid homogeneous disk, neglecting friction at the axle of the pulley, and assuming the system starts from rest with the spring t its natural length, find a. the speed of the block after it falls 1.00 m. b. the maximum extension of the spring. (m= 4.00kg, k = 32.0N/m, M = 8.00kg, R = 5.00cm)