What is the Magnitude of the Resultant Force for a Race Car on a Circular Track?

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SUMMARY

The magnitude of the resultant force acting on a race car traveling at 100 m/s around a circular track with a radius of 167 m is determined using the principles of circular motion and friction. Given the mass of the car and driver is 1300 kg and the coefficient of static friction is 0.1, the necessary calculations involve resolving forces in both vertical and horizontal directions. The resultant force can be calculated by applying the formula for centripetal force and considering the effects of friction at an angle of 21 degrees.

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Homework Statement


A race car travels 100 m/s around a circular track of radius 167 m.
What is the magnitude of the resultant force on the 1300 kg driver and his car if the car does not slip?
Coefficient of static friction = 0.1
21 degrees


Homework Equations





The Attempt at a Solution


When it says magnitude of the resultant force, is it asking for sum of x-components or just Fc?
 

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If you resolve forces along the vertical and along the horizontal, you will know what the resultant force turns out to be!
 

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