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Can't find the right solution.

  1. Mar 5, 2015 #1
    1. The problem statement, all variables and given/known data
    A spring of constant 19 N/cm is compressed a distance 8 cm by a 0.4 kg mass and then released on a frictionless surface. After it leaves the spring it skids over a frictional surface of length 1.9 m with coefficient of friction 0.14. Then, again on a frictionless surface, it compresses a second spring of constant 4 N/cm. The acceleration of gravity is 9.8 m/s 2 . How far must the second spring be compressed when the mass comes to rest? Answer in units of cm.

    K1=19 N/m
    x1=.08 m
    m=.4 kg
    Frictional surface = 1.9 m
    μ=.14
    K2=4 N/m
    g=9.8

    2. Relevant equations
    Conservation of energy
    work energy principle
    76e1d10875eb4d0101669bcbef8c78f6.png

    11e6fc84bb2641d36b09c5a6359f7c08.png

    da0c6f351dc21c0fec6559f06d696174.png
    N=mg
    Ff=μmg

    3. The attempt at a solution
    http://www4c.wolframalpha.com/Calculate/MSP/MSP7167205289f8b7i74844000040h081bhh0e34g0i?MSPStoreType=image/gif&s=36&w=134.&h=35. [Broken]
    solve for W
    W=Fs-Ff
    W=K1x1-μmg

    x=sqrt((K1x^2+2W)/K2)

    I end up with

    http://www5a.wolframalpha.com/Calculate/MSP/MSP17542240fg7bd54i8f4500000cff0b06i93i7dc9?MSPStoreType=image/gif&s=19&w=191.&h=47. [Broken]
     
    Last edited by a moderator: May 7, 2017
  2. jcsd
  3. Mar 5, 2015 #2

    billy_joule

    User Avatar
    Science Advisor

    Check the consistency of your units.
     
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