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Energy/ work problem set(last question )

  1. Mar 7, 2008 #1
    Energy/ work problem set(last question!!!)

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

    A 53.5 g ice cube can slide without friction up and down a 33.0° slope. The ice cube is pressed against a spring at the bottom of the slope, compressing the spring 12.0 cm. The spring constant is 22.0 N/m. When the ice cube is released, what total distance will it travel up the slope, from the time the spring is fully compressed until reversing direction?

    2. Relevant equations

    1/2kx^2, mgh, maybe 1/2mv^2

    3. The attempt at a solution

    here's my best shot:
    PE(spring) at bottom=PE(grav) at top
    1/2kx^2 = mgh
    since gravity has a component in x direction:
    1/2kx^2 = mhgsin33
    since sin33=h/d, h=dsin33:

    using this, i got 1.02m+.12m (compression of spring).
    i tried with and without compression of the spring, stillc ouldn't get the right ans. i'm sure 1 m is too long for a titchy little icecube to travel. any help would be appreciated.
  2. jcsd
  3. Mar 7, 2008 #2


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    Homework Helper


    While calculating the PE due to gravity you should not take the component of g.
    So 1/2*k*x^2= mgdsin 33
  4. Mar 13, 2008 #3
    thank you... and sorry about the long response
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