The coefficent of static friction between the floor of a truck and a box resting on it is 0.38. The truck is traveling at 87.9 km/hr. What i

The coefficent of static friction between the floor of a truck and a box resting on it is 0.38. The truck is traveling at 87.9 km/hr. What is the least distance in which the truck can stop and ensure that the box does not slide?

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  1. Answer:

    [tex]d=79.9m[/tex]

    Explanation:

    From the question we are told that:

    coefficient of static friction [tex]\mu=0.38[/tex]

    Velocity [tex]v=87.9=>24.41667m/s[/tex]

    Generally the equation for Conservation of energy is mathematically given by

     [tex]\mu*mgd = 0.5 m v^2[/tex]

     [tex]d=\frac{0.5*24.42^2}{0.38*9.8}[/tex]

     [tex]d=79.9m[/tex]

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