Answer:
The maximum speed of the car is 31.46 m/s.
Explanation:
Given that,
Radius = 101 m
We need to calculate the maximum speed that the car can go over the hill without leaving the road
Using relation of normal force and centripetal force
[tex]\dfrac{mv^2}{r}=mg[/tex]
Where, m = mass of car
[tex]v=\sqrt{rg}[/tex]
Put the value into the formula
[tex]v=\sqrt{101\times9.8}[/tex]
[tex]v=31.46\ m/s[/tex]
Hence, The maximum speed of the car is 31.46 m/s.