Thank you for visiting An automobile rounds a curve banked at 6 to the horizontal If the friction coefficient between the car s tires and the track is 0. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
The subject of this question is abou Circular Motion The maximum speed at which the automobile can navigate the 300 m radius curve without slipping, considering a bank angle of 6° and a friction coefficient of 0.6, is approximately 42.4 m/s. So, the correct answer is option b) 42.4 m/s
Explanation:
Based on the physics of motion in circles, the speed at which a car can navigate a curve without slipping is given by the formula: v = sqrt(r * g * (tan(θ) + μ)), where v is the speed, r is the radius of the curve, g is the gravitational acceleration (~9.8 m/s² on Earth), tan(θ) is the tangent of the incline angle, and μ is the coefficient of friction.
In this case, r = 300 m, θ = 6°, and μ = 0.6. Substituting these values into the formula, we get v = sqrt(300 * 9.8 * (tan(6) + 0.6)).
Therefore, the maximum speed at which the car can navigate this curve without slipping is approximately 42.4 m/s, which is option b).
Therefore, the correct answer is option b) 42.4 m/s
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