How would I solve a problem like this.

  • Thread starter zeromodz
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In summary, to solve for the distance a car would travel on a street with an initial velocity and a high coefficient of friction, you can use the equations F=\mu N and v^{2}_{f}=v^{2}_{i} + 2 a d. By assuming constant motion in a straight line and equating the forward force with the force of friction, you can use the equation x = vt + 1/2at^2 to find the acceleration (a) and then insert it into the equation to solve for the distance (d). Be careful, if the coefficient of friction is too high, the car will not move.
  • #1
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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  • #2
[tex]F=\mu N[/tex]

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

Then do algebra.
 
  • #3
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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