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Homework Help: What would hapen to coefficent of spring if we cut it

  1. May 1, 2007 #1
    what would hapen to coefficent of spring if we cut it in to 2 equal parts?
     
  2. jcsd
  3. May 1, 2007 #2
    And what will you do with the parts, exactly?
    Each of the part will have a double coefficient.
    To stretch it to the same length as before, you will need to deform it twice as much.
    (deformation= (final length)/(initial length))
     
  4. May 2, 2007 #3
    I want to know why it became double
     
  5. May 3, 2007 #4
    sorry for my bad English
    i mean why it's coefficient become twice i want logic answer
    i want to know why K1=2K2 (if k1 is the first spring and k2 is belong to other spring-the second one-)
     
  6. May 3, 2007 #5

    Doc Al

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    Staff: Mentor

    You can calculate the spring constant by considering k = F/x, where x is the amount the spring is stretched.

    Imagine that you apply a force F to the full spring and it stretches an amount x. Now realize that the full spring is just two half-springs in series. How much does each half-spring stretch? What force does each half-spring exert? (Careful with that last question.)
     
  7. May 4, 2007 #6
    the stretch of each one x/2
    and the forces are equal (F1=F2)
     
  8. May 4, 2007 #7
    In can be put mathematically like this. When you cut a spring in two equal halves then the value of spring cinstant doubles.
     
  9. May 4, 2007 #8

    Doc Al

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    Staff: Mentor

    Exactly. Now calculate the new spring constant:
    k' = Force/stretch = F/(x/2) = 2 F/x = 2k

    Make sense?
     
  10. May 5, 2007 #9
    I understand and thank you so much
    but i want to know it's microscopic answer i mean what is the nature of spring constant (a physical answer not a mathematical answer)
    can you give me brif answer or guid me a source to found it out
    thank you wvery much for your good answer again.
     
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