A 2000 kg car is traveling on a banked curved icy road without sliding.The velocity of the car is 32.0 m/s and the road is banked at an angle of 20.0 degrees.The radius of curvature of the road is
A) 125 m.
B) 210 m.
C) 287 m.
D) 310 m.
E) 350 m.

Question

Quizplus · Accepted Answer

The radius of curvature can be calculated using the formula for a banked curve without friction: $ r = \frac{v^2}{g \cdot \tan(\theta)} $. Substituting the given values: $ v = 32.0 \, \text{m/s} $, $ g = 9.8 \, \text{m/s}^2 $, and $ \theta = 20.0^\circ $, we find $ r \approx 287 \, \text{m} $.

A 2000 Kg Car Is Traveling on a Banked Curved