Answer:
21.7 m/s
Explanation:
To solve this problem, we have to write the equations of motion along the two directions: horizontal and vertical.
Horizontal direction:
Vertical direction:
where:
N is the normal reaction on the car
is the banking angle of the road
is the coefficient of friction of concrete
m is the mass of the car
v is the speed of the car
r = 40 m is the radius of the curve
is the acceleration due to gravity
Combining the two equations together, we can find the maximum speed allowed for the car:
And substituting the data we have, we find: