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How far does the block travel up the incline?

  1. Feb 26, 2016 #1
    1. The problem statement, all variables and given/known data
    In the figure, a block of mass m is moving along the horizontal frictionless surface with a speed of 5.70 m/s. If the slope is 11.0° and the coefficient of kinetic friction between the block and the incline is 0.260, how far does the block travel up the incline?
    p6.72.jpg

    2. Relevant equations :
    KEf + PEf = KEi + PEi + Work done on the block
    KE=(1/2)m(v)^2
    PE=mgh
    W=F*s*cos(θ)
    3. The attempt at a solution
    We have KEf = 0, PEi=0
    PEf=mgLsin(11)
    KEi=(1/2)m(vi)^2 (is vi=5.70 m/s or 5.70*cos(11) ?)
    Work done on the object = Wfriction (+Work done by the x component of the weight?)
    Wfriction = -μmgcos(11)

    I tried all the possibilities (including and excluding the Work done by the x component of the weight) and I tried both values of vi(vi=5.70 m/s and 5.70*cos(11)) but still wrong ... What's wrong? Please help
     
  2. jcsd
  3. Feb 26, 2016 #2

    BvU

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    Science Advisor
    Homework Helper
    Gold Member

    Hello Ahmed, :welcome:

    Difficult to guess what went wrong if you don't show your working. Perhaps your calculator was on radians instead of degrees ?
    If you want better assistance, show the calculation steps, please.
     
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