Explanation:
It is given that,
Mass of the car, m = 1200 kg
Radius of circular path, r = 84 m
The coefficient of static friction between tires and road is 0.60
Static friction is given by :
[tex]f=\mu N=\mu mg[/tex]..............(1)
When an object is moving in a circular path, the centripetal force will act on it. It is given by :
[tex]F=\dfrac{mv^2}{r}[/tex]
Let v is the maximum speed of the car. From equation (1) and (2) as :
[tex]v=\sqrt{\mu gr}[/tex]
g = acceleration due to gravity
[tex]v=\sqrt{0.6\times 9.8\ m/s^2\times 84\ m}[/tex]
v = 22.22 m/s
or
v = 22 m/s
Hence, this is the required solution.
