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.
What is the equation for the potential energy stored in a spring when it is stretched or compressed?
The farther we compress or stretch the spring, the greater the restoring force. We usually define xi = 0 and xf = x which gives Fs = – kx . This is called Hooke’s law.
How do you calculate stretch in physics?
In equation form, Hooke’s law is given by F=kΔL F = k Δ L , where ΔL is the change in length. Elasticity is a measure of how difficult it is to stretch an object. In other words it is a measure of how small k is. Very elastic materials like rubber have small k and thus will stretch a lot with only a small force.
What is meant by the extension of a stretched spring?
Extension happens when an object increases in length, and compression happens when it decreases in length. The extension of an elastic object, such as a spring, is described by Hooke’s law: force = spring constant × extension.
What happens to the extension of a spring when the force acting on it is doubled?
For a given spring and other elastic objects, the extension is directly proportional to the force applied. For example, if the force is doubled, the extension doubles.
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 potential energy of a spring?
It is the energy, stored in a compressible or stretchable object like a spring or rubber band or molecule. It’s another name is Elastic potential energy. It is equal to the force times the distance of movement. If the usual position i.e. without stretched, there is no energy in the spring.
How does force affect the extension of a spring?
For a given spring and other elastic objects, the extension is directly proportional to the force applied. For example, if the force is doubled, the extension doubles. In this instance, the relationship between force and extension changes from being linear, or directly proportional, to being non-linear.