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 stretched length of the spring?

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. (used hooke’s law this time)

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.

How do you calculate the length of a spring?

To calculate spring wire length per coil, you must subtract the wire diameter from the outer diameter in order to get mean diameter. Once you have calculated mean diameter, multiply it by pi (3.14); this will give you the length of wire per coil.

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.

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.

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 spring formula?

The spring force formula is expressed through the equation: F = – kx. As a formula, it reworks Hooke’s Law and is expressed through the equation: k = – F/x. Where k is the spring constant, F is the force applied over x, and x is the displacement by the spring expressed in N/m.

What force is required to hold a spring stretched 4 inches?

A force of 10 lb is required to hold a spring stretched 4 in. beyond its natural length. How much work is done in stretching it from its natural length to 6 in. beyond its natural length? ok i used hooks law.

How much work does it take to stretch a spring?

Solution: The work done in stretching or compressing a spring is proportional to the square of the displacement. If we double the displacement, we do 4 times as much work. It takes 16 J to stretch the spring 20 cm from its unstretched length, so it takes 12 J to stretch it from 10 cm to 20 cm.

How much work is required to stretch a Hooke’s law spring?

If it takes 4 J of work to stretch a Hooke’s law spring 10 cm from its unstretched length, determine the extra work required to stretch it an additional 10 cm. Solution: The work done in stretching or compressing a spring is proportional to the square of the displacement. If we double the displacement, we do 4 times as much work.

What happens when a spring is compressed and stretched?

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. The force a spring exerts is a restoring force, it acts to restore the spring to its equilibrium length. A stretched spring supports a 0.1 N weight.