Required frictional force for a car to keep it from sliding off a curve.

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SUMMARY

The frictional force required to prevent a 1200 kg car from sliding off a curve when exceeding the designed speed by 14 km/hr can be calculated using principles from previous problems involving radius and velocity. The user utilized the radius of 51 m and the velocity of 52 km/hr from earlier exercises to derive the necessary force. By determining the force at the original speed and the force at the increased speed, the user successfully calculated the frictional force needed. The lack of clarity in the problem statement regarding the curve type and radius was noted as a significant issue.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of centripetal force calculations
  • Familiarity with the concepts of friction and its role in circular motion
  • Ability to apply trigonometric functions in physics problems
NEXT STEPS
  • Study the derivation of centripetal force equations in circular motion
  • Learn how to calculate frictional force in different scenarios
  • Explore the impact of banked curves on vehicle dynamics
  • Review problem-solving techniques for physics homework involving multiple variables
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators seeking to clarify concepts related to friction and centripetal forces.

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Homework Statement


With what frictional force must the road push on a 1200 kg car if the driver exceeds the speed for which the curve was designed by deltav = 14km/hr?


The Attempt at a Solution


I actually have no clue where to begin with this question. Don't I need the radius to figure this out? On the previous problem i was asked to find the bank angle of a curve given radius and velocity and I used tan-1 [v^2/(gr)]. I don't believe that equation is relavent here though. Any advice as to what equations I should be using?
 
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There is no radius given?

Is that exactly how the question is written? It seems kinda confusing
 
Yup, that's all it says, other than answer in units of N at the end. Doesn't even say if it's a flat curve or banked.
 
Now the question doesn't say to refer to the previous problem, but if it does it was If r = 51 m and v = 52 km/hr, what is theta? and i found that to be 22.646 degrees. Can we do anything with that information?
 
AHAH! Well I decided to use the degree, radius and velocity from the previous 2 problems, found my force of the original speed that required no friction, added 14km/hr to it and found that force, then subtracted one from the other and that answer was correct. Would have been a whole lot simpler if they had just said "refer to the previous 2 problems to solve this one". Thanks anyways!
 

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