A car of mass m travels around a flat, circular curve of radius r at the fastest possible speed, v = 13.8 m/s without sliding off. The car and road have a coefficient of friction, μ between them. If the car wishes to take the turn at 2.3x the velocity, by what factor would the radius need to increase (so the car doesn't slide off) ?

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
Section5.3: Nonuniform Circular Motion
Problem 5.5QQ: Which of the following is impossible for a car moving in a circular path? Assume that the car is...
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A car of mass m travels around a flat, circular curve of radius at the fastest possible speed, v = 13.8 m/s without sliding off. The car and road have a coefficient of friction, μ between them.

If the car wishes to take the turn at 2.3x the velocity, by what factor would the radius need to increase (so the car doesn't slide off) ?

Give your answer to 1 decimal place.

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