If a car takes a banked curve at less than a given 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 minimum speed, in meters per second, required to take a 84 m radius curve banked at 14° so that you don't slide inwards, assuming there is no friction.  b)What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 25 km/h?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
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If a car takes a banked curve at less than a given 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 minimum speed, in meters per second, required to take a 84 m radius curve banked at 14° so that you don't slide inwards, assuming there is no friction. 

b)What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 25 km/h? 

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