Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. The green disk is initially at rest and is struck by the orange disk moving with a speed of 8 m/s. After the collision, the orange disk moves along a direction that makes an angle of 37° with its initial direction of motion and the velocity of the green disk is perpendicular to that of the orange disk (after the collision).

(a) Determine the final speed of the orange disk.

(b) Determine the final speed of the green disk.