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Springs homework

  1. Jul 15, 2005 #1
    An object is attached to the lower end of a 100-coil spring that is hanging from the ceiling. The string stretches by 0.155 m. The spring is then cut into two identical springs of 50 coils each. As the drawing shows, each spring is attached between the ceiling and the object. By how much does each spring stretch?
     
  2. jcsd
  3. Jul 15, 2005 #2
    Have any thoughts?
     
  4. Jul 15, 2005 #3
    well, since the mass is carried by two springs, each spring carries half the mass...but thats all i know... =(
     
  5. Jul 15, 2005 #4
    100:0.115 = 50:x

    x = .115/2
     
  6. Jul 15, 2005 #5
    sorry plucker, but thats not the right answer. again, i drew another FBD,
    for one spring: F(spring) = mg

    k = mg/x(1)

    for 2 springs: 2F(spring) =mg
    2 k x(2) =mg

    but with only x(1) known, and no mass, how should i approach this?


    ....ok, after some tries..
    i somehow found the right answer as .0387. but does anyone want to explain the concepts behind it?
     
    Last edited: Jul 15, 2005
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