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Energy Conservation Problem Please HELP

  1. Dec 1, 2007 #1
    [SOLVED] Energy Conservation Problem Please HELP!!!:)

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

    A 2.3-kg block slides along a frictionless horizontal surface with a speed of 5.9 m/s After sliding a distance of 6 m, the block makes a smooth transition to a frictionless ramp inclined at an angle of 24o to the hori-zontal.
    How far up the ramp does the block slide before coming monetarily to rest?

    2. Relevant equations

    mgh + .5 mv^2 = TE

    3. The attempt at a solution

    I tried doing it with this equation, but my answer was incorrect

    mgh sin 24 = 1/2mv2
    solve for h= v2/(2.3g sin 24 ) = [5.9^2 /(2.3 ´ 9.81 ´ sin 24o)] = 3.793096 m
  2. jcsd
  3. Dec 1, 2007 #2
    I figured out my mistake. I forgot that I cancelled out my masses and was using the equation h=v^2 / 2gsin....
  4. Dec 1, 2007 #3


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    Staff Emeritus
    Science Advisor

    You shouldn't have a "2.3" in the denominator, since the masses cancel. This should be a 2 (from the 1/2 on the RHS).
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