Rafael is driving his car at 26 m/s. What is the shortest distance in which he can brake and stop if the coefficient of static friction between the tires and the road is 0.4

86.14 meters.

Explanation:

Step one:

Given data

velocity of car = 26 m/s

the coefficient of static friction between the tires and the road

µ = 0.4 (kinetic)

Let us take g = 9.81 m/s^2

Required

The distance x = distance in m

We know that

W = F*x  (Work is force times distance)

Step two:

Conservation of energy gives  

KE = W

Substituting gives  

Solving for distance (x) gives  

Simplifying

Substitute:  

Therefore, the minimum braking distance is 86.14 meters.

3.2x10^7

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