Elastic potential energy

As the object starts to move, the elastic potential energy is converted into kinetic energy, becoming entirely kinetic energy at the equilibrium position. The energy is then converted back into elastic potential energy by the spring as it is stretched or compressed.

As the Slinky moves down the steps, kinetic energy transfers from coil to coil in a longitudinal wave. The speed of the wave depends on the tension and mass of the coil. The smaller the mass, the tighter the tension, the faster energy is transferred, the faster energy moves through the Slinky.

Elastic potential energy stored by a spring. The potential energy stored in a spring (or any similar object) is known as the elastic potential energy. It is stored by the deformation of an elastic material such as the spring seen in Figure 1.

The energy goes into the thermal energy of the spring, the air around the block, or the block itself.

The units for the spring constant, k, are Newtons per meter (N/m).

Greater is the , more is the energy stored. Saying that a spring has a spring constant of “1” is meaningless. Spring constants have units of force per unit length.

The spring constant shows how much force is needed to compress or extend a spring (or a piece of elastic material) by a given distance.

We define spring constant as the stiffness of the spring. In other words, when the displacement of the spring is one unit, we can define spring constant as the force applied to cause that said displacement. Therefore, it is clear to say that, the stiffer the spring is, the higher will be its spring constant.

The spring constant determines exactly how much force will be required to deform a spring. The standard international (SI) unit of measurement for spring constants is Newtons/meter, but in North America they are often measured in pounds/inch. A higher spring constant means a stiffer spring, and vice-versa.

A stronger spring-with a larger value of k-will move the same mass more quickly for a smaller period. As the spring constant k increases, the period decreases. For a given mass, that means a greater acceleration so the mass will move faster and, therefore, complete its motion quicker or in a shorter period.

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

If you make the coil diameter larger, your spring index is bigger thus making your spring weaker. This means that if you reduce the coil diameter or increase the wire diameter, your spring will be stronger thus making it more difficult to compress.

With these characteristics, Titanium springs are one of the strongest and most weight-sensitive springs available. Not only are titanium springs exceptionally strong, they are also corrosion resistant. Titanium springs are used in many industries and in many applications, from motor bikes and race cars to aircrafts.

The effective mass of a spring which is uniform along its length (not tapered or distorted by use) is equal to one-third of its actual mass. For a non-uniform spring, the effective mass can vary slightly with the attached mass; we will disregard this small variation.

Ideal Spring – a notional spring used in physics – it has no weight, mass, or damping losses. The force exerted by the spring is proportional to the distance the spring is stretched or compressed from its relaxed position.

The spring constant, mass, and amplitude can be varied. The spring obeys Hooke’s Law throughout the spring’s range of motion, i.e. the amount by which the spring is stretched from its unstretched length is proportional to the force applied to the spring. The spring is massless. The system is frictionless.

That is because the spring constant and the length of the spring are inversely proportional. That means that the original mass of gm will only yield a stretch of mm on the shorter spring. The larger the spring constant, the smaller the extension that a given force creates.

For a mass-spring system, the mass still affects the inertia, but it does not cause the force. The spring (and its spring constant) is fully responsible for force. So mass only impacts the resistance to accelerations, and you notice that the more massive the object the slower it wiggles back and forth.

Equal and opposite to the force of gravity is the spring force exerted upward by the spring on the mass (which is not moving). We know that the spring force is equal and opposite to the gravitational force because the mass would otherwise be accelerated by the net force.

Since k is the spring constant it doesn’t depend on the mass of the object attached to it, but here m signifies the mass of the object.

Gravity has nothing to do with the spring constant. It can only effect the net force on the spring depending on the orientation of the spring.

newtons per metre

When a spring is cut into two halves of equal length, the spring constant of each half doubles. Thus, the new spring constant will be twice of the original spring constant. This is because force is directly proportional to the effective length.

Hence, when a spring cut into two parts then for every individual part the stiffness becomes double.

If a spring is cut in half, what happens to its spring constant? tell me. Spring constant of a spring is inversely proportional to it’s length. the new spring constant will be twice the old one.

If you stretch a spring to double its initial length, then ideally it will keep the same spring constant (although if you exceed its elastic limit you may just ruin it). If you hook two identical springs together in series, or otherwise make a double-length spring, it will have half the spring constant.