Answer:
The radius of curve is 77.09 meters.
Explanation:
Speed of the car, v = 23 m/s
A car goes around a curve on a road that is banked at an angle of 35 degrees. The angle of banking is given by the formula as :
[tex]\tan\theta=\dfrac{v^2}{rg}\\\\r=\dfrac{v^2}{g\tan\theta}\\\\r=\dfrac{(23)^2}{9.8\times \tan(35)}\\\\r=77.09\ m[/tex]
So, the radius of curve is 77.09 meters.