Question about uniforn circular motion and highway curves

AI Thread Summary
To determine the maximum speed a 1050-kg car can maintain while rounding a turn with a radius of 77m on a flat road, the force of friction is calculated to be 8232 N using the coefficient of static friction of 0.80. This frictional force represents the maximum force available before the car begins to slide. The next step involves using the formula F = mv^2 / r to solve for speed. By rearranging the equation, the maximum speed can be calculated based on the established frictional force. This approach effectively allows for the determination of the car's safe turning speed without losing traction.
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Homework Statement


What is the maximum speed with which a 1050-kg car can round a turn of radius 77m on a flat road if the coefficient of static friction between tires and the road is .80?

Homework Equations


F = mv^2 / r
a = v2 / r
Ffr = mustatic x mg

The Attempt at a Solution



I found the force of friction to be 8232 N: .80 x 1050 x 9.8 = 8232 N
If someone could just tell me the next step that would help me out a lot; i don't know where to go from here. Thanks.
 
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Well that is the max force you can use before static friction gives upand the car slides. Therefore that is the max force you can use to turn the corner. All you need to do is solve for speed.
 
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