How would I solve a problem like this.

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SUMMARY

This discussion addresses the calculation of a car's travel distance on a street with an initial velocity and a high coefficient of friction. The key equations involved are F = μN for frictional force and v²_f = v²_i + 2ad for distance calculation. The discussion emphasizes the importance of understanding the relationship between friction and motion, noting that if the coefficient of friction is excessively high, the car may not move at all. The final formula derived for acceleration is a = μg, which can be substituted into the distance equation for further analysis.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with basic algebra and equation manipulation
  • Knowledge of frictional forces and coefficients
  • Basic concepts of kinematics
NEXT STEPS
  • Study the application of Newton's second law in real-world scenarios
  • Learn about the effects of varying coefficients of friction on motion
  • Explore kinematic equations in greater depth
  • Investigate the implications of constant acceleration in physics problems
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Students in physics, automotive engineers, and anyone interested in understanding motion dynamics and frictional effects on vehicle performance.

zeromodz
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I was just wondering how you would solve how far a car would travel on a street with an initial velocity with a a high coefficient of friction. Its not homework or anything. How would you solve a problem like this?
 
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[tex]F=\mu N[/tex]

[tex]v^{2}_{f}=v^{2}_{i} + 2 a d[/tex]

Then do algebra.
 
Be carefull, if the coefficient of friction is too high the car will not move, lol.

But its simple:x = vt + 1/2at^2
To find a in the above equation= Force of friction = umg, To make it simple, assume constant motion in a straight line. therefore, foward force = force of friction
umg= ma, m cancels therfore, a=ug, you know u and solve for a! Insert into above equation.
 

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