In hooke’s law what does k represent

What does K stand for in spring constant?

FSpring = -kx. In this equation, F is the force exerted by something stretching or compressing the spring, and x is the distance that the spring is stretched or compressed from its “rest” position. The letter k represents the “spring constant,” a number which essentially tells us how “stiff” a spring is.

What is K in F =- KX?

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 do you find the spring constant k?

Spring Constant Formula

  1. Mathematically, F∝x, where F is the force applied, and x is the extension or compression of the object (usually in metres).
  2. Now, F = – kx, where k is the constant of proportionality called the spring constant.

What is the force constant?

View this answer. In physics, a force constant is another name for a spring constant, as defined by Hooke’s law. More specifically, it is a proportionality constant…

What happens if the spring constant increases?

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.

Where is Hooke’s law used?

For this reason, Hooke’s law is extensively used in all branches of science and engineering, and is the foundation of many disciplines such as seismology, molecular mechanics and acoustics. It is also the fundamental principle behind the spring scale, the manometer, and the balance wheel of the mechanical clock.

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What is the value of k constant?

The symbol k is a proportionality constant known as the Coulomb’s law constant. The value of this constant is dependent upon the medium that the charged objects are immersed in. In the case of air, the value is approximately 9.0 x 109 N • m2 / C2.

How is Hooke’s law used today?

Hooke’s Law can be be applied to many things in everyday life. Most commonly, Hooke’s Law is applied in springs because of their elasticity. … For example, the spring of a retractable pen is stretched a certain distance by the force that the user applies on the pen when pushing down on the top of the pen.

Does spring constant change with mass?

That is because the spring constant and the length of the spring are inversely proportional. That means that the original mass of 30 gm will only yield a stretch of 1 mm on the shorter spring. The larger the spring constant, the smaller the extension that a given force creates.

Why is Hooke’s Law negative?

Though we have not explicitly established the direction of the force here, the negative sign is customarily added. This is to signify that the restoring force due to the spring is in the opposite direction to the force which caused the displacement.

What does spring constant depend on?

Answer: In dealing with a coil spring the spring constant will depend on the stiffness of the spring material, the thickness of the wire from which the spring is wound and, diameter of the turns of the coil, the number of turns per unit length and the overall length of the spring.

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Does constant force mean no acceleration?

Newton’s second law says that when a constant force acts on a massive body, it causes it to accelerate, i.e., to change its velocity, at a constant rate. … In this case, the constant acceleration due to gravity is written as g, and Newton’s Second Law becomes F = mg.

What is the force constant of a wire?

2k When both the wires are stretched through same distance, then the work done.

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