A 23 g ball of clay moving west at 12 m/s collides with and sticks to a 31 g ball of clay moving south at 21 m/s.

a) What is the final velocity of the resulting 54 g mass of clay? Please give the final velocity to 3 significant figures with the units. Draw labeled diagrams to show the velocities and masses before and after the collision along with your coordinate system with labeled axes.

b) What is the direction in which the combined mass moves after the collision?