A curve of radius 1.80x10^2m is being designed in a new highway to allow cars travelling at 70.0 km/h to round the curve with zero frictional forces.  a.)at what angle must the road be banked? b.)what is the minimum coefficient of friction that will allow a car to successfully go around the curve at 30.0 km/h?

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter6: Applications Of Newton’s Laws Of Motion
Section: Chapter Questions
Problem 59PQ: Banked curves are designed so that the radial component of the normal force on the car rounding the...
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A curve of radius 1.80x10^2m is being designed in a new highway to allow cars travelling at 70.0 km/h to round the curve with zero frictional forces. 

a.)at what angle must the road be banked?

b.)what is the minimum coefficient of friction that will allow a car to successfully go around the curve at 30.0 km/h?

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