Disk 1 (of inertia \(m\) ) slides with speed \(1.0 \mathrm{~m} / \mathrm{s}\) across a low-friction surface and collides with disk 2 (of inertia \(2 \mathrm{~m}\) ) originally at rest. Disk 1 is observed to bounce off at an angle of \(15^{\circ}\) to its original line of motion, while disk 2 moves away from the impact at an angle of \(55^{\circ}\).

(a) Calculate the unknown final speed of each disk.

(b) Is this collision elastic?