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Friction Problem of a auto

  1. Sep 20, 2007 #1
    1. The problem statement, all variables and given/known data

    A car traveling at 20 m/s stops in a distance of 50m. Assume that the acceleration is constant. The coefficients of friction between a passenger and the seat are u_s = 0.5 and u_k = 0.3. Will a 70 kg passenger slide off the seat if not wearing a seat belt? Prove it.

    2. Relevant equations

    f_s(max) = u_s*N
    x_f = x_i + v_i*t + 1/2 at^2

    3. The attempt at a solution

    I used the first equations to find that f_s(max) is equal to 343N and the second to find that the acceleration is -4m/s^2. I don't know where to go from here. Please, I need this for class tomorrow morning! Thanks.
     
    Last edited: Sep 21, 2007
  2. jcsd
  3. Sep 20, 2007 #2

    Dick

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    The force acting on the passenger to decelerate him is the static friction of the seat. How much acceleration can a force of up to 343N deliver to a 70kg passenger? As much as 4m/sec? (Put units on numbers, please, makes things clearer).
     
  4. Sep 21, 2007 #3
    That's the problem, I don't know how to find that out.
     
  5. Sep 21, 2007 #4

    Dick

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    Uh, F=ma?
     
  6. Sep 21, 2007 #5
    Haha, should've known that one. Ok, so a comes out to be 4.9m/s^2, which is greater than 4m/s^2. So does that mean that the seat can hold the passenger up to 4.9m/s^2, therefore he does not slide off the seat? Where does u_k come in?
     
    Last edited: Sep 21, 2007
  7. Sep 21, 2007 #6

    Dick

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    Just as you say, static friction is enough to hold the passenger. If you were to push the passenger so he starts sliding then you would use u_k to conclude kinetic friction isn't enough to stop him from continuing to slide.
     
  8. Sep 21, 2007 #7
    Ok, great, thanks so much for your help!
     
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