Two cars collide head-on and lock bumpers on an icy (frictionless) road. One car has a mass

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Two cars collide head-on and lock bumpers on an icy (frictionless) road. One car has a mass of 800 kg and an initial speed of 12 m/s and is moving toward the north. The other car has a mass of 1200 kg. If the speed of the cars after the collision is 4.5 m/s and they are moving north, what was the initial velocity of the large car?

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