Respuesta :
For the car to stay on the road without sliding in or sliding out, all the forces on the x-axis must equal each other. Thus by equating all the forces on the x-axis, we can find the coefficient of the friction.
In order to determine the minimum speed of the car, use the following expression:
[tex]v=\sqrt[]{R\cdot g\cdot\tan \theta}[/tex]where,
R: radius of the road = 84m
g: gravtitational acceleration constant = 9.8m/s^2
θ: angle of banking of the road = 17 degrees
Replace the previous values of the parameters into the formula for v:
[tex]\begin{gathered} v=\sqrt[]{(84m)(9.8\frac{m}{s^2})(\tan 17)} \\ v\approx15.86\frac{m}{s} \end{gathered}[/tex]Hence, the minimum speed requierd is approximately 15.86m/s
In order to determine the value of the minimum coefficient friction required, use the following formula:
[tex]\mu=\frac{v^2-Rg\tan \theta}{v^2\tan \theta+Rg}[/tex]by replacing, you get:
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