Sway drives on a banked circular track with radius 99.0 m, and travels at a constant speed of 150 km/h. (a) While he's driving, it rains, reducing u to 0.42. He's daring though, so he keeps his constant speed, and just barely manages to drive without skidding. Find the banking angle of his circular track. Answer in ° and 3 Significant Figures. (b) He now realizes the foolishness of his actions, and how he placed himself in danger for no apparent reason. To make up for it, he tries to find the maximum speed he can drive such that no matter hard it rains, he can drive without shooting off the track. Find that speed. Answer in m/s and 3 Significant Figures.

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Sway drives on a banked circular track with radius 99.0 m, and travels
at a constant speed of 150 km/h.
(a) While he's driving, it rains, reducing u to 0.42. He's daring though, so he keeps
his constant speed, and just barely manages to drive without skidding. Find the
banking angle of his circular track.
Answer in ° and 3 Significant Figures.
(b) He now realizes the foolishness of his actions, and how he placed himself in
danger for no apparent
reason. To make up for it, he tries to find the maximum speed he can drive such
that no matter
hard it rains, he can drive without shooting off the track. Find that speed. Answer
in m/s and
3 Significant Figures.
Transcribed Image Text:Sway drives on a banked circular track with radius 99.0 m, and travels at a constant speed of 150 km/h. (a) While he's driving, it rains, reducing u to 0.42. He's daring though, so he keeps his constant speed, and just barely manages to drive without skidding. Find the banking angle of his circular track. Answer in ° and 3 Significant Figures. (b) He now realizes the foolishness of his actions, and how he placed himself in danger for no apparent reason. To make up for it, he tries to find the maximum speed he can drive such that no matter hard it rains, he can drive without shooting off the track. Find that speed. Answer in m/s and 3 Significant Figures.
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