A blue puck with mass 0.0400 kg sliding with a velocity of magnitude 0.200 m/. on a frictionless, horizontal air table, makes a perfectly elastic, head-on collision with a red puck with mass m, initially at rest. After the collision, the velocity of the blue puck is 0.050 m/s in the same direction as its initial velocity. Find
(a) The velocity (magnitude and direction) of the red puck after the collision; and
(b) The mass m of the red puck.