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
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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(35256) (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.
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