Circular Motion Regarding Car Sliding on a Curve

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Homework Help Overview

The discussion revolves around the maximum speed a car can maintain while negotiating a level curve of 100 meters without sliding, given a coefficient of static friction of 0.70. The subject area includes concepts from circular motion and friction.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between frictional force and normal force, considering how to incorporate these into the equations of motion for circular motion. Questions are raised about the equivalence of normal force and the acceleration experienced by the car while moving in a circle.

Discussion Status

Some participants have provided guidance on how to approach the problem by suggesting the use of force diagrams and the relationships between the forces involved. There is an acknowledgment of different interpretations of the problem, particularly regarding the application of formulas.

Contextual Notes

There is a mention of the original poster's assignment related to drifting, which introduces additional context but does not directly resolve the initial homework question.

Neek 007
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Homework Statement


What is the maximum speed at which a car can negotiate a level curve of 100m without sliding if the coefficient of static friction is .70?


Homework Equations


Ffr≤ coefficient of frictionFn
F=ma
Fc=mv2/r
Cir.=2pir
I know there are a couple more, but I'm not sure which ones.


The Attempt at a Solution


I know mass is not a factor here.
I think I'm supposed to plug in a formula into another formula. I'm thinking to plug in the force of friction formula(first formula) into F=ma.
 
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Neek 007 said:

Homework Statement


What is the maximum speed at which a car can negotiate a level curve of 100m without sliding if the coefficient of static friction is .70?


Homework Equations


Ffr≤ coefficient of frictionFn
F=ma
Fc=mv2/r
Cir.=2pir
I know there are a couple more, but I'm not sure which ones.


The Attempt at a Solution


I know mass is not a factor here.
I think I'm supposed to plug in a formula into another formula. I'm thinking to plug in the force of friction formula(first formula) into F=ma.
Yup, that would work. And here's a couple of questions to help you along:

1. What else is Fn eqivalent to? (If you have to, draw a force diagram to help figure this out.)
2. What is a, given that the car is moving in a circle as it moves around the curve?
 
Ah, thank you so much. I got the right answer, 26.2 m/s.
 
Neek 007 said:
Ah, thank you so much. I got the right answer, 26.2 m/s.

Ok. I'm doing a small assignment about drifting at the moment! I can see that you figured out something, that might be similar to drifting.

My assignment is as following:

Describe some aspects of the phenomena drifting you'll find interesting, being a requirement that you use math, and or physics to explain.

Could you guys maybe help me out a little bit on this one?
 

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