College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Textbook Question
Chapter 6, Problem 32PE
Unreasonable Results
(a) Calculate the minimum coefficient of friction needed for a car to negotiate an unbanked 50.0 m radius curve at 30.0 m/
(b) What is unreasonable about the result?
(c) Which premises are unreasonable or inconsistent?
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1) Determine the maximum speed at which a car can take a curve banked at 37 degrees
and with radius 50 m for: a) a frictionless surface; b) a surface with coefficient of static
friction 0.4 with the tires of the car.
a) Find the centripetal acceleration of a vehicle through a radiused corner given that the radius of the corner is 50.0m and the vehicle is going around the corner at a steady speed of 10.0m/s
b) if the car’s mass is 1200kg what is the magnitude of the centripetal force needed to prevent the car from sliding sideways?
c)if the corner is not banked (so that the only force is friction) what type of friction (kinetic or static) would be needed to do the job? How big is the coefficient of friction if the car can not safely exceed 10.0m/s as it goes around the corner?
If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve
(a real problem on icy mountain roads).
(a) Calculate the ideal speed in (m/s) to take a 120 m radius curve banked at 15⁰.
m/s
(b) What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 25.0 km/h?
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College Physics
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