2. As shown in the figure, a billiard ball with mass m2 is initially at rest on a horizontal, frictionless table. A second billiard ball with mass m1 moving with a speed 2.00 m/s, collides with m2. Assume m1 moves initially along the +x-axis. After the collision, m1 moves with speed 1.00 m/s at an angle of θ = 54.0° to the positive x-axis. (Assume m1 = 0.200 kg and m2 = 0.300 kg.) (a) Determine the speed (in m/s) of the 0.300 kg ball after the collision.
(b) Find the fraction of kinetic energy transferred away or transformed to other forms of energy in the collision.