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Sloped Incline with Friction

  1. Dec 4, 2008 #1
    1. The problem statement, all variables and given/known data

    A board is inclined at an angle of 17.5 degrees. The coefficient of friction between a 15.0 kilogram block and the board is .085. what will be the speed of the block if it slides down the board a distance of 4.0 meters, starting from rest?
     
  2. jcsd
  3. Dec 4, 2008 #2

    alphysicist

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    Hi sskicker23,


    What have you tried so far?
     
  4. Dec 4, 2008 #3
    what have it tried so far:

    Friction
    mu* Fnormal
    .085*15*9.8*Cos(17.5)=11.91669

    Fnormal
    M*G*Cos(17.5)= 140.1964N

    Fperp
    M*G*Cos(17.5)= 140.1964N

    Fgravitational
    m*g
    15*9.8=147N

    Fparallel= m*g*sin(17.5) =140.1964N

    axmax= -gsin(17.5)+Mu*G* Cos(17.5)
    A=.9.8*sin(17.5)+9.80*Cos(17.5)
    A= 2.1525

    v^2=Vi^2+2AX
    V^2=0+2*2.1525*4
    v=4.15m/s
     
  5. Dec 4, 2008 #4

    alphysicist

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    This line has a few problems, but I think they are just typos.

    That looks like the right answer to me.


    (An alternative approach to this problem would be to use the energy equation.)
     
  6. Dec 4, 2008 #5
    Thank you for your help!
     
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