Question

The same car now travels on a straight track and goes over a hill with radius 101 m at the top. What is the maximum speed that the car can go over the hill without leaving the road?

Answer 1

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

$\dfrac{mv^2}{r}=mg$

Where, m = mass of car

$v=\sqrt{rg}$

Put the value into the formula

$v=\sqrt{101\times9.8}$

$v=31.46\ m/s$

Hence, The maximum speed of the car is 31.46 m/s.