A 2000 kg car is traveling on curved, icy road. The road is banked at an angle of 12.0 degrees and has a radius of curvature of 500 m. The speed of the car necessary to travel on the icy road without sliding is

Question

Quizplus · Accepted Answer

The speed necessary to travel on a banked curve without sliding can be found using the formula $v = \sqrt{rg\tan(\theta)}$, where $v$ is the speed, $r$ is the radius of curvature, $g$ is the acceleration due to gravity (approximately $9.8 m/s^2$), and $\theta$ is the banking angle. Plugging in the given values ($r = 500 m$, $\theta = 12.0$ degrees), we get $v = \sqrt{500 \times 9.8 \times \tan(12.0^\circ)} \approx 32.3 m/s$.

A 2000 Kg Car Is Traveling on Curved, Icy Road