A 2000 kg car is traveling on a curved, icy road without sliding. The speed of the car is 30 m/s and the road is banked at an angle of 20.0 degrees. The radius of curvature of the road is

Question

Quizplus · Accepted Answer

The formula to find the radius of curvature of a banked road is:
$r = \frac{v^2}{g	an	heta}$
where,
$r$ = radius of curvature
$v$ = speed of the car
$g$ = acceleration due to gravity
$	heta$ = angle of banking

Plugging in the given values:
$r = \frac{30^2}{9.81	an20} \approx 252$ m

Therefore, the best choice is (C).

A 2000 Kg Car Is Traveling on a Curved, Icy