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A spring has an unstretched length of 10 cm. It exerts a
Chapter 10, Problem 8CQ(choose chapter or problem)
Problem 8CQ
A spring has an unstretched length of 10 cm. It exerts a restoring force F when stretched to a length of 11 cm.
a. For what length of the spring is its restoring force 3F?
b. At what compressed length is the restoring force 2F?
Questions & Answers
QUESTION:
Problem 8CQ
A spring has an unstretched length of 10 cm. It exerts a restoring force F when stretched to a length of 11 cm.
a. For what length of the spring is its restoring force 3F?
b. At what compressed length is the restoring force 2F?
ANSWER:
Step 1 of 4
(a)
Here we need to calculate the length of the spring when the restoring force is equal to \(F^{1}=3 F\).
The given spring has a force constant \(k\) with original unstretched length \(x_{0}=10 \mathrm{~cm}\) and when a restoring force \(F\) is applied by spring when it is stretched to a length of \(x_{1}=11 \mathrm{~cm}\).
The change in length of the spring is \(\Delta x=x_{1}-x_{0}\)
\(\Delta x=11 \mathrm{~cm}-10 \mathrm{~cm}=1 \mathrm{~cm}\)