Final answer:
The appropriate banking angle for the car to stay on its path without the assistance of friction is approximately 26.3°.
Step-by-step explanation:
To determine the appropriate banking angle for the car to stay on its path without the assistance of friction, we can use the following formula:
tan(Θ) = (v^2) / (g * r)
Where:
- Θ is the banking angle
- v is the speed of the car
- g is the acceleration due to gravity
- r is the radius of the curve
Plugging in the values, we have:
tan(Θ) = (21.5^2) / (9.8 * 110)
Solving for Θ, we find:
Θ ≈ 26.3°
Therefore, the appropriate banking angle for the car to stay on its path without the assistance of friction is approximately 26.3°.