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What is the formula for work done by a spring?

What is the formula for work done by a spring?

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 force applied to a 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.

What is a spring work?

When a spring pulls something, or pushes something, over a distance x, it does work 2 work = 1/2 * k * x. If a spring is compressed (or stretched) it stores energy equal to the work performed to compress (or stretch) it. We might call this spring potential energy.

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How do springs work?

Extension springs extend as you apply force to them, pulling apart the coils. Their resistance against this force stores mechanical energy within the coil. When you remove the force, the spring releases its mechanical energy by snapping back into its original state with no pitch between coils.

What is a spring in physics?

In classical physics, a spring can be seen as a device that stores potential energy, specifically elastic potential energy, by straining the bonds between the atoms of an elastic material.

How does a spring work?

A spring is an elastic object that stores mechanical energy and releases it when the opposing force is removed. If you need to apply force to create movement or hold something in place without the use of engines or other powered means, springs could be the answer.

What is a spring force in physics?

The spring force is the force exerted by a compressed or stretched spring upon any object that is attached to it. An object that compresses or stretches a spring is always acted upon by a force that restores the object to its rest or equilibrium position.

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What is spring force with example?

When a metal spring is stretched or compressed, it is displaced from its equilibrium position. As a result, it experiences a restoring force that tends to retract the spring back to its original position. This force is called the spring force. It is a contact force that can be found in elastic materials.

How is work done on the spring different from work done by the spring?

As an aside, the work done by a spring and the work done on a spring are equal in magnitude and opposite in sign. So when a spring is streched by an external force and positive work is done on the spring, the work done by the spring (due to the reaction force in the spring) is negative.

Can work be done on a spring?

Because when u stretch spring applies force opposite to u and tries to compress but displacement is occuring according to u i.e. in the direction of ur motion not spring’s and same when u compress the spring, hence the force applied and the displacement occuring is exactly opposite and thus work done by a spring is …

Can Hooke’s law be used to find spring potential energy?

Hooke’s law is frequently represented in the negative form since the force is a restoring force, but the positive version of the law is also a valid representation. To find the Spring potential energy, we need to use the Hooke’s law.

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What is the difference between Hooke’s law and constant force springs?

As mentioned in our constant force springs post, the material making up these springs actually does conform to Hooke’s Law. The difference is that the elastic portion of a constant force spring is only the part that is changing from coiled to straight.

How do you calculate the work done by a spring?

When a spring pulls something, or pushes something, over a distance x, it does work 2 work = 1/2 * k * x. If a spring is compressed (or stretched) it stores energy equal to the work performed to compress (or stretch) it.

What is the work done by a spring when displacement is zero?

The work done by pulling force F p is : The work done by the pulling force F p is in positive as it has overcome the force of spring. Therefore, When displacement is less than 0, the work done by the springs force is and the work done by the external force F is = + kx c2 /2.