A car is traveling at 55.0 mi/h on a horizontal highway. (a) If the coefficient

Question

A car is traveling at 55.0 mi/h on a horizontal highway. (a) If the coefficient of static friction between road and tires on a rainy day is 0.097, what is the minimum distance in which the car will stop?



(b) What is the stopping distance when the surface is dry and

A car is traveling at 55.0 mi/h on a horizontal highway. (a) If the coefficient of static friction between road and tires on a rainy day is 0.097, what is the minimum distance in which the car will stop? What is the stopping distance when the surface is dry and mu s = 0.597?

Explanation / Answer

a) force = mu*mg = 0.097*mg = ma

so deccelration = 0.097g = 0.9506

speed = 55 mph = 24.58 m/s

so distance = 24.58^2 /2*0.9506 = 317.79 meters

b) force = 0.597mg = ma

so deccelration = 0.597g = 5.8506

so distance = 24.58*24.58 /2*5.8506 = 51.63 meters

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