A car of mass m moves at a constant speed v of 30 m/s around a banked circular track of radius R = 150 m. (It is a normal car, rather than a race car, which means any vertical force from the passing air is negligible.) Assume that the frictional force from the track is negligible. a) Draw a free-body diagram of the car. [1] b) What bank angle θ prevents sliding?

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter5: Newton's Laws Of Motion
Section: Chapter Questions
Problem 26PQ: A race car is moving around a circular track at a constant speed of 65 m/s. It continues moving in...
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i) A car of mass m moves at a constant speed v of 30 m/s around a banked circular track
of radius R = 150 m. (It is a normal car, rather than a race car, which means any vertical
force from the passing air is negligible.) Assume that the frictional force from the track is
negligible.
a) Draw a free-body diagram of the car. [1]
b) What bank angle θ prevents sliding?

Q4
i) A car of mass m moves at a constant speed v of 30 m/s around a banked circular track
of radius R = 150 m. (It is a normal car, rather than a race car, which means any vertical
force from the passing air is negligible.) Assume that the frictional force from the track is
negligible.
a) Draw a free-body diagram of the car.
b) What bank angle 0 prevents sliding?
[1]
[1]
Transcribed Image Text:Q4 i) A car of mass m moves at a constant speed v of 30 m/s around a banked circular track of radius R = 150 m. (It is a normal car, rather than a race car, which means any vertical force from the passing air is negligible.) Assume that the frictional force from the track is negligible. a) Draw a free-body diagram of the car. b) What bank angle 0 prevents sliding? [1] [1]
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