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Block going up a frictionless incline

  1. Jun 21, 2007 #1
    1. The problem statement, all variables and given/known data

    A 2.6kg block slides along a frictionless horizontal with a speed of 2.9m/s. After sliding a distance of 6m, the block makes a smooth transition to a frictionless ramp inclined at an angle of 12 degrees to the horizontal. How far up the ramp does the block slide before coming momentarily to rest?

    2. Relevant equations

    Conservation of mechanical energy...1/2mv0^2 + mgh0 = 1/2mvf+mghf.

    3. The attempt at a solution

    I know that V0 = 26, Vf = 0, but I don't know what h is. Is there another approach to this problem?

    Thank you so much!
  2. jcsd
  3. Jun 21, 2007 #2

    Doc Al

    User Avatar

    Staff: Mentor

    Realize that you can express the final position in terms of height or distance up the ramp: those two distances are connected by a little trig.

    In any case, you can solve for the final height, then convert to the needed distance up the ramp.
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