SOLUTION: So Iwould like to just check my answer to this problem. What did you get? A load of 8kg attached to the bottom of a coil spring stretches the spring to a length of 76 cm, and a loa

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: So Iwould like to just check my answer to this problem. What did you get? A load of 8kg attached to the bottom of a coil spring stretches the spring to a length of 76 cm, and a loa      Log On


   



Question 82492: So Iwould like to just check my answer to this problem. What did you get? A load of 8kg attached to the bottom of a coil spring stretches the spring to a length of 76 cm, and a load of 14kg stretches it to a length of 85cm. Find the natural (unstretched) length of the spring.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the distance a spring stretches is directly proportional to the load (or force) on the spring x=kf

let L equal the unstretched length ... so L+8k=76 ... and L+14k=85

multiplying the first equation by 7/4 and subtracting the second equation gives (7/4)L+14k-(L+14K)=(7/4)76-85

so (3/4)L=48 ... L=64 cm