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Classical mechanis, conservation of total momentum

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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 omega south of east. After the collision, the two-car system travels at speed v_final at an angle theta east of north. What is the angle theta with respect to north made by the velocity vector of the two cars after the collision?

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