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The 2500 kg cable car shown in the figure below descends a 200 m high hill. In addition to its brakes, the cable car controls its speed by pulling an 1200 kg counterweight up the other side of the hill. The rolling friction of both the cable car and the counterweight are negligible.

One day the brakes fail just as the cable car leaves the top on its downward journey. What is the runaway car's speed at the bottom of the hill?

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