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 is required to

Algebra ->  Equations -> 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 is required to       Log On


   



Question 1173898: 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 is required to stretch the spring a = 8 in.?
Answer by mila nedic(19) About Me  (Show Source):
You can put this solution on YOUR website!
We can use ratios for this question.
%28lb_of_force%29%2Finches
We know that 12 lb of force give 3 inches of stretching so we can input that into the ratio.
12%2F3
Now we can input the other piece of information we know on the other side of the equation.
%2812%2F3%29=%28x%2F8%29
Now we just solve the equation.
x=%2812%2A8%29%2F3
=32
Therefore 32 lb of force is required to stretch the spring 8 inches.