On a banked race track, the smallest circular path on which cars can move has a radius of 112 m, while the largest has a radius of 153 m, as the drawing illustrates. The height of the outer wall is 17.7 m. Find (a) the smallest and (b) the largest speed at which cars can move on this track without relying on friction.

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On a banked race track, the smallest circular path on which cars can move has a radius of 112 m, while the largest has a
radius of 153 m, as the drawing illustrates. The height of the outer wall is 17.7 m. Find (a) the smallest and (b) the
largest speed at which cars can move on this track without relying on friction.
Transcribed Image Text:On a banked race track, the smallest circular path on which cars can move has a radius of 112 m, while the largest has a radius of 153 m, as the drawing illustrates. The height of the outer wall is 17.7 m. Find (a) the smallest and (b) the largest speed at which cars can move on this track without relying on friction.
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