A billiard player sends the cue ball toward a group of three balls that are initially at rest and in contact with one another. After the cue ball strikes the group, the four balls scatter, each traveling in a different direction with different speeds as shown in the figure below. If each ball has the same mass, 0.16 kg,determine the total momentum of the system consisting of the four balls immediately after the collision. (Assume v ₁ = 0.33 m/s, ? ₁ = 70?, v ₂ = 0.55 m/s, ? ₂ = 30?, v ₃ = 0.23 m/s, v ₄ = 0.48 m/s.)

What is the magnitude in	kg ? m/s
What is the direction in ??	? counterclockwise from the + x axis

y V4 X 6 V3 V01 3 V2 02