A van with mass m = 1000 kg is driving around a circular curve of radius r = 950 m when it begins to rain. The coefficients of static friction between the track and tires is μd = 0.59 when dry and μw = 0.17 when wet. Write an expression for the maximum magnitude of the force of static friction Ff acting on the van if μs is the coefficient of friction. What is the maximum tangential speed that the van can take the corner at without slipping when dry in m/s? What is the maximum tangential speed when wet in m/s?

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
Chapter3: Motion In Two Dimensions
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A van with mass m = 1000 kg is driving around a circular curve of radius r = 950 m when it begins to rain. The coefficients of static friction between the track and tires is μd = 0.59 when dry and μw = 0.17 when wet.

Write an expression for the maximum magnitude of the force of static friction Ff acting on the van if μs is the coefficient of friction.

What is the maximum tangential speed that the van can take the corner at without slipping when dry in m/s?

What is the maximum tangential speed when wet in m/s?

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