A car goes around a curve on a road that is banked at an angle of 35.0 ∘. Even though the road is slick, the car will stay on the road without any friction between its tires and the road when its speed is 23.0 m/s. What is the radius of the curve?

Respuesta :

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.