Three balls A,B, and C with masses 0.0500 kg, 0.0700 kg, and 0.0900 kg, respectively, are moving along the xy-plane and approaching the origin as shown in the figure below. Ignore friction. The initial velocities of balls A and B are shown in the figure. Suppose all three balls arrive the origin at the same time and stick together after the collision. What must be the x- and y-components of the initial velocity of ball C in order for the three balls to move along the +x-axis at 1.00 m/s after the collision?

Three balls A,B, and C with masses 0.0500 kg, 0.0700 kg, and 0.0900 kg, respectively, are moving along the xy-plane and approaching the origin as shown in the figure below. Ignore friction. The initial velocities of balls A and B are shown in the figure. Suppose all three balls arrive the origin at the same time and stick together after the collision. What must be the x- and y-components of the initial velocity of ball C in order for the three balls to move along the +x-axis at 1.00 m/s after the collision?

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Question

What must be the x- and y-components of the initial velocity of ball C in order for the three balls to move along the +x-axis at 1.00 m/s after the collision?