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Effect of Two Springs on an Object

  1. Oct 26, 2008 #1
    1. The problem statement, all variables and given/known data
    The spring in the figure (link 1) (a)is compressed by length [tex]\Delta[/tex]x. It launches the block across a frictionless surface with speed v0. The two springs in the figure (link 2) (b) are identical to the spring of the figure . They are compressed by the same length [tex]\Delta[/tex]x and used to launch the same block. What is the block's speed now?



    picture1: http://session.masteringphysics.com/problemAsset/1000762/5/knight_Figure_10_38a.jpg

    picture 2: http://session.masteringphysics.com/problemAsset/1000762/5/knight_Figure_10_38b.jpg


    2. Relevant equations
    Fsp = -k[tex]\Delta[/tex]s
    Us = 1/2 k([tex]\Delta[/tex]s)2
    K = 1/2 mv2


    3. The attempt at a solution

    I'm not sure what the effect of two springs would be, but in terms of V0 I feel like it might be 2V0, but that seems to easy.
     
  2. jcsd
  3. Oct 26, 2008 #2
    Try making some substitutions using the equations you quoted to see if your feeling is right or not.
     
  4. Oct 26, 2008 #3
    What do you think happens to the force on the block?
     
  5. Oct 26, 2008 #4
    Ok I figured it out! I plugged in all the numbers and found that it is sqr(2)v

    thanks!
     
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