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Kinetics of Particles and Newton's Second Law

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Determine the maximum theoretical speed that may be achieved over a distance of 50 m by a car starting from rest, knowing that the coefficient of static friction is 0.80 between the tires and the pavement. Assume four-wheel drive.

In answering this problem, how can you use the coefficient of friction without mass?

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You can do it as follows.

It is not said in your text but we implicitly assume that the road is horizontal.

We start from considering what is the maximal force of friction possible.
Since the road is horizontal, the absolute value ...

Solution Summary

This solution calculates the maximum theoretical speed of a car using the coefficient of static friction and distance. All steps are shown with brief explanations.