A blue puck with mass 0.0400 kg, sliding with a velocity ofmagnitude 0.200 m/s on a frictionless, horizontal air table, makesa perfectly elastic, head-on collision with a red puck with mass m,initially at rest. After the collision, the velocity of the bluepuck 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.