A 2000 kg car is traveling on a banked curved icy road without sliding.The velocity 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
A) 175 m.
B) 204 m.
C) 252 m.
D) 302 m.
E) 375 m.

Question

Quizplus · Accepted Answer

To solve this problem, we need to use the following formula for the radius of curvature of a banked curve:

R = (v^2 / g) * tan(θ)

where:
- R = radius of curvature
- v = velocity of the car
- g = acceleration due to gravity (9.8 m/s^2)
- θ = angle of the banked road

Plugging in the given values, we get:

R = (30^2 / 9.8) * tan(20)
R ≈ 252 m

Therefore, the best choice is (C) 252 m.

A 2000 Kg Car Is Traveling on a Banked Curved