A 5.0-kg mass by an initial velocity of 4.0 m/s, east collides with a 4.0-kg mass with an initial velocity of 3.0 m/s, west. After the collision the 5.0-kg mass has a velocity of 1.2 m/s, south.
1. What is the magnitude of the velocity of the 4.0-kg mass after the collision?
2. If the two masses stick together through the collision, what is the magnitude of the resultant 9.0 kg mass after the collision?