How do you calculate the work needed to stretch a spring?

The blue line represents the graph of F = kx (Hooke’s Law). We know that the area shaded in red represents the work you would need to do to stretch the spring a distance x from its rest position. Since this area is a triangle, the shaded area = (1/2)(base)(height) = (1/2)(x)(kx) = (1/2)kx2.

What is the length of the spring when stretched?

F = -kx. The proportional constant k is called the spring constant. It is a measure of the spring’s stiffness. When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position.

How many lbs of force does it take to hold a spring 4ft beyond its natural length?

A force of 10 lb is required to hold a spring stretched 4 in. beyond its natural length.

How far beyond its natural length will a force of 30N keep the spring stretched?

Answer and Explanation: So 25/24 J is required. Question 2: To answer the second question if 30 N of force is exerted on a spring then F(x)=30. Since 30N of force will stretch the spring by 0.108m past its natural length, then 30N of force will stretch the spring by 30+10.8=40.8 cm.

How do you calculate work done by stretching?

Let the spring be stretched through a small distance d x dx dx. Then work done in stretching the spring through a distance d x dx dx is d W = F d x , dW=Fdx, dW=Fdx, where F is the force applied to stretch the spring.

What is stretch length?

The stretch length is free unbound length of an anchor bolt that is needed to stretch in order provide hold down. The typical length is generally 8 to 10 times the bolt diameter.

What happens when a spring is stretched beyond its elastic limit?

For a given spring and other elastic objects, the extension is directly proportional to the force applied. When an elastic object is stretched beyond its limit of proportionality, the object does not return to its original length when the force is removed.

What is the work of a spring?

Springs are great for storing or absorbing energy. When you use a pushing or pulling force to stretch a spring, you’re using a force over a distance so, in physics terms, you’re doing work and using energy. The tighter the spring, the harder it is to deform, the more work you have to do, and the more energy you need.

What is a stretching force?

As you stretch or compress an elastic material like a bungee cord, it resists the change in shape. It exerts a counter force in the opposite direction. This force is called elastic force. The farther the material is stretched or compressed, the greater the elastic force becomes.

How do you calculate the force needed to stretch?

Hooke’s Law states that the force needed to compress or extend a spring is directly proportional to the distance you stretch it. As an equation, Hooke’s Law can be represented as F = kx, where F is the force we apply, k is the spring constant, and x is the extension of the material (typically in meters).