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What is the maximum acceleration the car can have without causing the cup to slide?

  1. Sep 23, 2004 #1
    Problem-
    If the coefficient of static friction between the coffee cup and the roof of the car is 0.24, What is the maximum acceleration the car can have without causing the cup to slide? Ignore the effects of air resistance.

    Answer-
    i know the formula is: Fs= (ms) (N)
    i multipy 0.24 x 9.81m/s^2
    and got =2.35 m/s^2

    Did i do it right? Is my work correct? please help
     
  2. jcsd
  3. Sep 23, 2004 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    There is a rather important piece of information missing here! Remember what "N" is?

    Don't you think a coffee cup made of lead would be less likely to slide than one made of fine china?
     
  4. Sep 23, 2004 #3
    i know N= (m)(g)
    but the question never gives me the kg and i know gravity =9.81m/s^2

    am i suppose to find kg?
     
  5. Sep 23, 2004 #4
    oh wait i got it ms= Fs/N
    ms=m(ax)/m(g)
    ms=ax/g
    ms x g=ax
    .24x 9.81 = 2.35m/s^2

    thanks
     
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