A 1000 kg car is driving around a banked, circular track (if you are unsure of what a banked turn is, watch this video). The track is banked at 30° from the ground and has a radius of 1000 m. 1. If the track were covered in ice (μ-0), how fast would the car need to be going in order to stay on the track? 2. Now assume that the track now has a coefficient of static friction is 0.8, What is the maximum speed that the car can go without sliding off of the track? 3. If the car starts from rest and the driver accelerates at a rate of 4 m/s², how far around the track would the car be able to go before it reached the speed that you found in part 2? Express your answer in revolutions.

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A 1000 kg car is driving around a banked, circular track (if you are unsure
of what a banked turn is, watch this video). The track is banked at 30° from
the ground and has a radius of 1000 m.
1. If the track were covered in ice (µ=0), how fast would the car need
to be going in order to stay on the
track?
coefficient of static friction is
2. Now assume that the track now has a
0.8, What is the maximum speed that the car can go without sliding
off of the track?
3. If the car starts from rest and the driver accelerates at a rate of 4
m/s², how far around the track would the car be able to go before it
reached the speed that you found in part 2? Express your answer in
revolutions.
Transcribed Image Text:A 1000 kg car is driving around a banked, circular track (if you are unsure of what a banked turn is, watch this video). The track is banked at 30° from the ground and has a radius of 1000 m. 1. If the track were covered in ice (µ=0), how fast would the car need to be going in order to stay on the track? coefficient of static friction is 2. Now assume that the track now has a 0.8, What is the maximum speed that the car can go without sliding off of the track? 3. If the car starts from rest and the driver accelerates at a rate of 4 m/s², how far around the track would the car be able to go before it reached the speed that you found in part 2? Express your answer in revolutions.
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