Answer:
maximum possible velocity = [tex]\sqrt{ugR}[/tex]
Explanation:
centripetal acceleration when the car is going in the circle must be less than the maximum friction for the car to not slip.
centripetal acceleration [tex]\frac{mv^{2}}{r}[/tex]
where v is the velocity of car and r is the radius of circle
maximum friction = umg
where u is the coefficient of static friction.
therefore[tex]umg\geq \frac{mv^{2}}{R}[/tex]
therefore maximum possible velocity = [tex]\sqrt{ugR}[/tex]
