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On a banked race track, the smallest circular path on which cars can move has a radius of 112 meters, while the largest has a radius of 165 meters....

On a banked race track, the smallest circular path on which cars can move has a radius of 112 meters, while the largest has a radius of 165 meters. The height of the outer wall is 18 meters. Find (a) the smallest and (b) the largest speed at which the cars can move without relying on friction. Topic: Dynamics of Uniform Circular Motion.
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