Physics banking problems w\ friction.

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SUMMARY

The discussion centers on a physics problem involving a 1200-kg car navigating a banked curve with a radius of 70m at an angle of 12 degrees and a speed of 90 km/h (25 m/s). The analysis reveals that a frictional force is necessary, with a calculated coefficient of friction of 0.72. The friction force acts perpendicular to the normal force, confirming that friction is required to maintain the car's trajectory around the curve. The solution utilizes the equation mv²/r = Fc to derive the necessary forces involved.

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Homework Statement



A 1200-kg car rounds a curve of radius 70m banked at an angle of 12 degrees. If the car is traveling at 90km/h, will friction force be required? If so, how much and in which direction?

Homework Equations



mv^2/r = Fc

The Attempt at a Solution


90km/h = 25m/s

Fc = Fnx + uFny
mv^2/r = mgsin12 + u9.8cos12

25^2 = 9.8sin12 + u9.8cos12

u=.72; The coefficient of friction .72 and the force of friction will be perpendicular to the normal force.

Can someone confirm that this is the correct answer?
 
Last edited:
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You have a few errors in writing it out, but your answer is correct. You have not explained why friction is required.

AM
 

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