Solution Found!
Answer: An ideal spring of negligible mass is 12.00 cm
Chapter 7, Problem 14E(choose chapter or problem)
Problem 14E
An ideal spring of negligible mass is 12.00 cm long when nothing is attached to it. When you hang a 3.15-kg weight from it, you measure its length to be 13.40 cm. If you wanted to store 10.0 J of potential energy in this spring, what would be its total length? Assume that it continues to obey Hooke’s law.
Questions & Answers
QUESTION:
Problem 14E
An ideal spring of negligible mass is 12.00 cm long when nothing is attached to it. When you hang a 3.15-kg weight from it, you measure its length to be 13.40 cm. If you wanted to store 10.0 J of potential energy in this spring, what would be its total length? Assume that it continues to obey Hooke’s law.
ANSWER:
Solution 14E
Hooke’s law is given by , where k is the force constant of a spring and x is its elongation.
When the 3.15 kg weight is hung from the spring, its length changes by
Now, the force needed to extend the spring will be balanced by the weight of the object,
So,