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Homework Help: Energy in a sprin mass system

  1. Feb 16, 2010 #1
    1. The problem statement, all variables and given/known data
    A horizontal spring-mass system has low friction, spring stiffness 165 N/m, and mass 0.2 kg. The system is released with an initial compression of the spring of 7 cm and an initial speed of the mass of 3 m/s.
    (a) What is the maximum stretch during the motion?
    (b) What is the maximum speed during the motion?
    (c) Now suppose that there is energy dissipation of 0.02 J per cycle of the spring-mass system. What is the average power input in watts required to maintain a steady oscillation?


    2. Relevant equations
    Ei = Ef + W
    .5KSf^2 = .5 KSi^2 + .5mv^2



    3. The attempt at a solution
    (a)
    .5KSf^2 = .5*165*.07^2 + .5*.2*3^2
    .5KSf^2 = 1.304
    s = .13m

    (b)
    Kf+0 = answer from part a, step 2 (in this case 1.304 J)
    .5mv^2 = 1.304
    v = 3.611 m/s

    (c)
    I was not sure what to do and have not attempted this part.
     
  2. jcsd
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