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Block released from spring slides up a ramp

  1. Nov 2, 2009 #1
    [SOLVED] Block released from spring slides up a ramp

    1. The problem statement, all variables and given/known data
    fada240b6cd911d42a59c5a7d7ddd12d.png


    2. Relevant equations
    I'm thinking conservation of energy:
    K1+U1+WOther=K2+U2
    But really I'm not quite sure where to start here.

    3. The attempt at a solution
    So far, I've calculated the velocity of the block after it leaves the spring, before it hits the ramp and I get that to be 3.553 m/s2. What is tripping me up here is the coefficient of friction, and how to apply that to the block as it travels up the ramp. If I turn the coordinate system so that the x axis is parallel to the ramp, then we can figure the x component of the velocity to be 3.553*Cos(38) I believe, but I'm not sure if that is useful to me or not.

    I think if I could get some confirmation on which direction to take with this that would be very helpful. Thanks!
     
    Last edited: Nov 2, 2009
  2. jcsd
  3. Nov 2, 2009 #2
    Of course I figured it out after asking.

    First I figured out that the Fk = n*.200, or cos(38)*(9.8)*(4)*(.200) = 6.178.

    Next I figured out the force due to gravity, Fg = sin(38)*(9.8)*(4) = 24.134.

    Add the two together and divide by mass (4kg) to get acceleration of 7.578.

    Plug that in to vf2 = vi2 + 2ad to get d = .833 or so. Sorry to bother everyone!
     
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