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Collision at an angle?

Two cars, both of mass m, collide and stick together. Prior to the collision, one car had been traveling north at speed 2v, while the second was traveling at speed v at an angle phi south of east (as indicated in the figure). After the collision, the two-car system travels at speed v_final at an angle theta east of north.

Find the speed v_final of the joined cars after the collision.

Express your answer in terms of v and phi.

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