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You are driving a 2400.0-kg car at a constant speed of 14.0 m/s along a wet, but straight, level road. As you approach an intersection, the traffic light turns red. You slam on the brakes. The car's wheels lock, the tires begin skidding, and the car slides to a halt in a distance of 23.2 m. What is the coefficient of kinetic friction between your tires and the wet road?

Respuesta :

Answer:0.43

Explanation:

Given

mass of car [tex]m=2400 kg[/tex]

Speed of car [tex]u=14 m/s[/tex]

Distance traveled before coming to halt [tex]s=23.2 m[/tex]

Let [tex]\mu [/tex]the coefficient of friction

Maximum deceleration road can provide during motion is

[tex]a=\mu g[/tex]

using [tex]v^2-u^2=2 as [/tex]

[tex]0-14^2=2\cdot (-\mu g)\cdot 23.2[/tex]

[tex]\mu =\frac{196}{454.72}[/tex]

[tex]\mu =0.431[/tex]

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