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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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