Max Speed for Car on Concrete Curve of Radius 80.0m, 19.0^\circ Angle

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To determine the maximum speed of a 1900 kg car on a banked curve with a radius of 80.0 m and a 19.0° angle, the correct approach involves using the formula for centripetal force and the effects of friction. The initial attempts using v = sqrt(rg*tan(theta)) and v(max) = sqrt(rg*u) were incorrect. Key considerations include the balance of forces acting on the car, including gravitational force, normal force, and friction. A free body diagram is essential to visualize these forces and derive the correct formula. Clarification on the approach and proper application of physics principles is needed to solve the problem accurately.
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Homework Statement



A concrete highway curve of radius 80.0 m is banked at a 19.0^\circ angle.

What is the maximum speed with which a 1900 kg rubber-tired car can take this curve without sliding? (Take the static coefficient of friction of rubber on concrete to be 1.0.)

The Attempt at a Solution



I used the equation v = sq rt (rg*tan(theta)) but that didn't work, so I used
v(max) = sq. rt. (rg*u(coeff. static friction)) and got 28.8 m/s2, but that didn't work either.

If anyone can tell me what I'm missing or went wrong, I'd greatly appreciate it.
 
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If you are trying to use some formula directly, it is the wrong formula.
If you have drawn free body diagram and then tried to get the formula, you have missed something. Show your attempt.
 
I'm not really sure how I should approach the problem. Can you tell me how I can start?
 

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