# SOLUTION: Hooke's Law states that the distance, d, a string is stretched varies directly with the force, F, applied to the spring. If a force of 12 pounds stretches a spring 3 inches, how fa

Algebra ->  Algebra  -> Human-and-algebraic-language -> SOLUTION: Hooke's Law states that the distance, d, a string is stretched varies directly with the force, F, applied to the spring. If a force of 12 pounds stretches a spring 3 inches, how fa      Log On

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 Question 158168: Hooke's Law states that the distance, d, a string is stretched varies directly with the force, F, applied to the spring. If a force of 12 pounds stretches a spring 3 inches, how far will the spring stretch when a force of 30 pounds is applied?Answer by jim_thompson5910(28476)   (Show Source): You can put this solution on YOUR website!Since the "distance, d, a string is stretched varies directly with the force, F", this means that we have the equation Start with the given equation Plug in and Divide both sides by 12 to isolate k Reduce So the variation constant is (or in decimal form ) Go back to the original equation Plug in Since we want the distance when the "force of 30 pounds is applied", we need to plug in Multiply Reduce Convert to decimal form So the distance is 7.5 inches when a force of 30 pounds is applied.