On a banked race track the smallest circular path on which, Ask an Expert

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On a banked race track, the smallest circular path on which cars can move has a radius of 111 m, while the largest has a radius 153 m, as the drawing illustrates. The height of the outer wall is 18 m.

(a) Find the smallest speed at which cars can move on this track without relying on friction.

m/s

(b) Find the largest speed at which cars can move on this track without relying on friction.

m/s

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