How large must the coefficient of static friction be between the tires and the road if a car is to round a level curve of radius 120 m at a speed of 119 km/h 7 Express your answer using two significant figures

Respuesta :

Answer:

Coefficient of static friction between the tires and the road is 0.92.

Explanation:

It is given that,

Radius of the curve, r = 120 m

Speed, v = 119 km/h = 33.05 m/s

We need to find the coefficient of static friction between the tires and the road. In a curved road the safe velocity is given by :

[tex]v=\sqrt{\mu rg}[/tex]

[tex]\mu[/tex] is the coefficient of static friction

g is acceleration due to gravity

[tex]\mu=\dfrac{v^2}{rg}[/tex]

[tex]\mu=\dfrac{(33.05\ m/s)^2}{120\ m\times 9.8\ m/s^2}[/tex]

[tex]\mu=0.92[/tex]

So, the coefficient of static friction between the tires and the road is 0.92. Hence, this is the required solution.