SOLUTION: Problem: 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 inche

Question 145506: Problem: 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 ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Problem: 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?
:
We can write Hooke's equation:
F = d*k
Where:
F = force
d = extension
k = constant
:
Find the k from the given statement:
"If a force of 12 pounds stretches a spring 3 inches,"
12 = 3k
k = 4
:
" how far will the spring stretch when a force of 30 pounds is applied?"
30 = 4d
d =
d = 7.5 inches
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