Can someone please explain in a little more detail on the potential energy of a spring? I'm given the formula: U = 1/2kx^2 I understand that k represents the stiffness of the spring, but x (According to my text) says "it is the difference between the length of the stretched or compressed spring and the length of the spring when it is neither stretched nor compressed. "

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

Can someone please explain in a little more detail on the potential energy of a spring? I'm given the formula: U = 1/2kx^2 I understand that k represents the stiffness of the spring, but x (According to my text) says "it is the difference between the length of the stretched or compressed spring and the length of the spring when it is neither stretched nor compressed. "

Physics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

\[U _{s} = 1/2kx ^{2}\]
first of all potential energy of spring increases in both cases, compression and expansion. you are right, x is the difference between the stretched or compressed length to its natural length.
This is derived from the Work-Energy Theorem, which states that\[W = \Delta U\]Let's take a look at the work done by a spring. From the definition of work, \[W = \int\limits {\bf \vec F} ~ dx\]where, for a spring, \[{\bf \vec F} = kx\]Therefore, \[W = \int\limits kx dx\]If we integrate, we obtain\[W = {1 \over 2} kx^2\]From the Work-Energy Theorem, we can see that\[{1 \over 2} kx^2 = \Delta U\]If we take the spring being at equilibrium when \(x=0\), then\[{1 \over 2} kx^2 = U\]

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

Not the answer you are looking for?

Search for more explanations.

Ask your own question