Solving Friction Problems: Why Only Static Friction Applies?

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Homework Help Overview

The problem involves a car traveling on a horizontal highway and examines the role of static friction in determining the minimum stopping distance under specific conditions, such as wet road surfaces.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the definition of static friction and its role in preventing relative motion. Questions arise regarding the application of static versus kinetic friction when braking and the conditions under which static friction is maintained.

Discussion Status

Participants have engaged in clarifying the concept of static friction and its relevance to the problem. Some have confirmed that static friction applies as long as the tires do not skid, while others are exploring the implications of braking systems like ABS.

Contextual Notes

There is an emphasis on understanding the conditions that lead to static friction versus kinetic friction, particularly in the context of braking on a wet surface. The discussion reflects uncertainty about the transition between these types of friction during braking.

grief
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The question is:

A car is traveling at 50 mi/h on a horizontal highway. If the coefficient of static friction between road and tires on a rainy day is 0.10, what is the minimum distance in which the car will stop?

I know how to solve it using static friction, but I don't understand why only static friction is needed in the problem, and kinetic friction does not apply.
 
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What is static friction? A force which prevents any relative motion until its threshold is reached. So in order to keep the friction between the road and your tires, you must maintain a minimum acceleration. And once you find this acceleration, you can find the minimum distance it will take to stop.
 
so does that mean, when I press the breaks, there is only static friction between the tires and the road?
 
With (an ideal) ABS, I suppose, there's only static friction(?)
 
That is correct, as long as your wheels are not skidding they maintain static friction with the road. Consider the difference between skidding and rolling.
 
ohh, ok, I get it now. Thank you for the help
 

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