8. Centripetal Forces & Gravitation

When driving on a banked curve designed for a specific speed, how should you leave the curve to maintain maximum safety and control?

When a curved road is banked at an angle $\theta$ for a car of mass $m$ traveling at speed $v$ around a curve of radius $r$, what is the primary purpose of banking the road?

A car is traveling around a curve of radius $100$ m that is banked at an angle of $20.0°$ with respect to the horizontal. What is the ideal speed at which the car can take the curve without relying on friction? (Assume $g=9.8$ m/s$2^{-2}$)

A bobsled turn banked at 78° is taken at 24 m/s. Assume it is ideally banked and there is no friction between the ice and the bobsled. Calculate the centripetal acceleration of the bobsled.