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Need help with vector dynamics problems

  1. Nov 1, 2004 #1
    1) What is the maximum acceleration a car can undergo on a level ground if the static coefficient of friction between the tires and the ground is 0.55?

    I have no idea on how to start this problem. It seems there is not enough information.

    2) A city planner is working on the redesign of a hilly portion of a city. An important consideration is how steep the roads can be so that even small cars can get up the hills without slowing down. It is given that a particular small car, with a mass of 1000kg can accelerate on the level from rest to 14m/s in 8.0s. Using this figure, calculate the maximum steepness of a hill.

    If you guys can help me start this problem, i should be able to finish it on my own.
     
  2. jcsd
  3. Nov 2, 2004 #2

    In case of your first problem,you know that the maximum force is propotional to normal force and for static friction it is given as:
    [tex]F_{max} ={\mu}_{s} * N [/tex]
    and
    [tex]F_{max} = m * a [/tex]
    [tex] N = m * g [/tex]
    putting these equations in the first one you can calculate maximum acceleration.
     
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