SOLUTION: The distance (d) a spring will stretch varies directly as the force (F) applied to the spring. If a force of 12 lb is required to stretch a spring 3 in., what force (in lb) is requ

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: The distance (d) a spring will stretch varies directly as the force (F) applied to the spring. If a force of 12 lb is required to stretch a spring 3 in., what force (in lb) is requ      Log On


   

Question 1197038: The distance (d) a spring will stretch varies directly as the force (F) applied to the spring. If a force of 12 lb is required to stretch a spring 3 in., what force (in lb) is required to stretch the spring a = 9 in.?

F=________?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
 The distance (d) a spring will stretch 
varies directly as the force (F) applied to the spring. 
d varies directly as F
That is:  d = kF
d = 3in when F = 12 lb
   3in= k (12lb),  k+=+3in%2F12lb+=+%281%2F4%29%28in%2Flb%29
find F when d = 9in 
      d = kF  0r  F = d/k
                  F = 9in%2F%28%281%2F4%29%28in%2Flb%29%29 = 36 lb
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