**Question 26:** What is the ideal speed to take a 100 m radius curve banked at a 20.0° angle?This question involves calculating the ideal speed for navigating a banked curve. When a curve is banked, the angle allows a vehicle to negotiate the curve without relying solely on friction. This principle is important in road design for both safety and efficiency.### Explanation:To find the ideal speed (\(v\)) for a banked curve, use the following formula derived from the forces acting on the vehicle, including gravitational and centripetal forces:\[ v = \sqrt{r \cdot g \cdot \tan(\theta)} \]Where:- \(v\) is the ideal speed,- \(r\) is the radius of the curve (100 m in this case),- \(g\) is the acceleration due to gravity (approximately 9.81 m/s²),- \(\theta\) is the banking angle (20.0°).By inputting these values into the formula, you can determine the speed at which a vehicle can safely and efficiently travel around this banked curve without additional frictional forces.

Given data: The radius is r=100 m. The banking angle is θ=20.0°. The ideal speed can be calculated…

Answered: 26. What is the ideal speed to take a…

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Problem 1: What is the ideal speed to take a 100 m radius curve that's banked at a 20° angle? "Ideal" in this context means the centripetal force is provided entirely by the horizontal component of the normal force with no need for static friction between the tires and the ground.

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26. What is the ideal speed to take a 100 m radius curve banked at a 20.0° angle?