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Spring Problem

  1. Nov 27, 2011 #1
    1. The problem statement, all variables and given/known data
    block of mass m = 5 kg is connected to a spring having stiffness constant
    k = 49 N/m, as shown in the figure below.
    The surface between the block
    and the table has μk = 0.1
    In this figure, the block is presently held in place with the spring stretched
    by x1 = 0.8 m. The block is then released. Determine the maximum amount
    that the spring will compressed given that the coefficient of kinetic friction
    between the block and the surface is μk = 0.1.

    m= 5kg
    k= 49 N/m
    uk= .1 (friction)
    spring= x1= .8m
    Dis(spring)=?


    2. Relevant equations
    Potential Energy
    Kinetic Energy


    3. The attempt at a solution
    I dont know where to begin
     
  2. jcsd
  3. Nov 27, 2011 #2
    figure below?
     
  4. Nov 27, 2011 #3
    This is a conservation of energy problem, but note that the frictional force will always retard the motion of the block (the compression of the block after it is released from rest must be lower than the maximum compression). This should be a good way to check your answer.

    Try to start by writing down an equation for the total energy of the system, and determine how much of it is lost by friction.
     
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