Does the spring constant change if a spring is cut?

When the spring is cut into two equal halves, the spring constant doubles. We know that force is directly proportional to the length. Mathematically, this is represented as: F = kl where k is the spring constant.

When a force is applied to a spring the spring extends by 0.12 m?

Firstly, you must convert the extension into metres to ensure that our answer is in newtons. You would do this by dividing the number by 100, therefore the extension is 0.12m. We can now substitute the numbers into the equation: F=kx=0.12×25=3 So the force applied is 3.0N.

When a spring with spring constant k is cut into three equal parts the force constant of each of the part would be?

Since spring is cut into 3 equal parts. ∴ Spring constant of each part becomes 3k.

What happens to period if spring is cut in half?

The key thing is that the spring constant of half a spring is twice the spring constant of the full spring. (This should make a bit of sense. You’d expect it to be harder to pull a shorter spring to the same extension.) And since the period depends on the spring constant, it will change accordingly.

Can a spring constant change?

Yes. spring-constant can change as per the force applied and the extension of the material.

Can a spring constant be negative?

The spring constant cannot be negative. Spring constant will always be a positive value. The negative sign in Hooke’s law shows that the direction of the restoring force is opposite to the applied force.

How do you calculate extension?

Hooke’s Law

1. If you measure how a spring stretches (extends its length) as you apply increasing force and plot extension (e) against force (F);
2. F = ke.
3. F = tension acting on the spring.
4. e is extension = (l-lo); l is the stretched length and lo is original length, and.
5. k is the gradient of the graph above.

What is the extension of a spring?

An object, such as a spring, stores elastic potential energy when stretched or squashed. When an object, such as a spring, is stretched, the increased length is called its extension.

What will be the spring constant of each part if the spring of force constant k is divided in to n equal parts?

Statement I : The spring constant of a spring is k. When it is divided into n equal parts, then spring constant of each piece is k/n. Statement II : The spring constant is independent of material used for the spring.