Billiard ball A of mass mA = 0.120kg moving with speed vA = 2.80m/s strikes ball B, initially at rest, of mass mB = 0.140 kg. As a result of the collision, ball A is deflected off at an angle of 30.0° with a speed v'A = 2.10 m/s.

(a) Taking the x axis to be the original direction of motion of ball A, write down the equations expressing the conservation of momentum for the components in the x and y directions separately.

(b) Solve these equations for the speed, v'B, and angle, θB, of ball B after the collision. Do not assume the collision is elastic.