Calculating Force of Static Friction on a Car

AI Thread Summary
To calculate the force of static friction on a car moving around a corner, the relevant equations include centripetal force and the relationship between mass, velocity, and radius. The attempt at a solution yields a static friction force of 300 N, but the expected answer is 4.5 N. The confusion arises from miscalculating the force and incorrectly deriving the coefficient of static friction, which was not required for the problem. The main focus should remain on determining the static friction force directly, rather than calculating the coefficient. Accurate application of the formulas is crucial for obtaining the correct answer.
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Homework Statement


When you take your 1100-kg car out for a spin, you go around a corner of radius 55m with a speed of 15m/s. Assuming your car doesn't skid, what is the force exerted on it by static friciton?

Homework Equations


f_{}c=ma_{}c
f_{}c=mv^{}2/r
\sumf=ma

The Attempt at a Solution


\sumf=ma
f_{}s=mv^{}2/r
f_{}s=300

300=\mu_{}smg
300=\mu_{}s(1100)(908)
\mu_{}s=0.027

but apparantley it's supposed to be 4.5
what happened?
 
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How did you get 300?

And why are you calculating the coefficient of friction? The question only asks for the force.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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