Sliding in Socks

  1. [SOLVED] Sliding in Socks

    1. The problem statement, all variables and given/known data

    Suppose that the coefficient of friction between your feet and the floor, while wearing socks, is 0.250. Knowing this, you decide to get a running start and then slide across the floor.

    If your speed is 3.00 m/s when you start to slide, what distance d will you slide before stopping?


    3. The attempt at a solution

    We are given that coefficient of friction is .250

    f = .250(n)

    I really don't know to go from here.

    We are given speed so, let me permit my brain to flow with the numbers :D

    K= .5mv^2 may apply

    .250mg = .5m(.250)^2
    .250(9.8)m = .5m(.250)^2
    2.45m = .003125m
    ................and it ends there..so I just went the wrong way.

    Solution is 1.84m, but I want to learn how to do this problem.
     
  2. jcsd
  3. Chegg
    ok

    I got that

    k1 = .5mvo^2
    k2 = .5mv^2

    f = umg

    W = F *s

    we know that f is a F so I could use that

    so

    W = -fd = -umgd
    Wtotal = k2-k1

    so I would think it would be safe to say taht

    k2-k1 = -umgd

    .5(mv^2) - .5(mvo^2) = -umgd

    is this is all correct thusfar, how do I continue?
     
    Last edited: Oct 31, 2007
  4. Doc Al

    Staff: Mentor

    Looks good. Just solve for d. (Isolate d on one side.)
     
  5. yep got it, at first, I was confused on what to do with the m, and realized that they are common factor and cancel out.
     
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