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Max. spring compression

  1. Jan 21, 2016 #1
    1. The problem statement, all variables and given/known data
    An object of mass m = 2kg is relesed from a height h=5m and left to slide on a frictionless curved ramp.
    Once it reaches the bottom it slides horizontally from point A to point B, covering a distance L=6m on a surface with kinetic friction coefficient [PLAIN]https://upload.wikimedia.org/math/3/a/d/3ad4fa5a7787192d8cbb5f69d33d05cc.png= [Broken] 1/3.
    To the right of point B, the friction becomes negligible and the object comes into contact with a relaxed spring of spring constant k=30 N/m .
    Take g=10 m/x²
    a-) Find the max compression of spring
    b-)As the spring decompresses, it imparts a leftward velocity to the object. Can the object reach point A with that speed?

    2. Relevant equations

    F=-kx
    Work done by friction = 3ad4fa5a7787192d8cbb5f69d33d05cc.png x mass x gravity(g) x length
    11e6fc84bb2641d36b09c5a6359f7c08.png

    3. The attempt at a solution
    I found :
    Work done by friction = 40
    Ek = 100
    final energy =Ek-W = 100 - 40 = 60
    Then
    60 = 1/2 k x2
    I could not find b
    Help please
    and thanks :)
     
    Last edited by a moderator: May 7, 2017
  2. jcsd
  3. Jan 21, 2016 #2
    I know its late by its URGENT!!!
     
  4. Jan 21, 2016 #3

    billy_joule

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    Science Advisor

    How much energy does the mass have as it leaves the spring?
    How much energy is required to slide back to A?
     
  5. Jan 21, 2016 #4

    gneill

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    Staff: Mentor

    You should always state your results with units. Otherwise they are meaningless and markers will deduct points (most will give zero points if no units are specified).

    For part b, what kinetic energy do you expect the mass to have when it reaches point B after returning from its encounter with the spring?
     
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