How do you find the spring constant of a rubber band?

Spring constant of the rubber band is k=45.0N/m.

Does rubber band obey Hooke’s law explain your answer?

Rubber bands provide an interesting contrast to springs. On stretching, they do not obey Hooke’s law very precisely. On unloading, they show hysteresis.

Why does the length of the rubber band increase as each mass is added?

That force makes the rubber band get longer – it stretches. The greater the pull the longer it gets. In other words a bigger force makes the rubber band stretch more.

How do you calculate the force of a rubber band?

The stretching action of rubber bands follows Hooke’s Law, F=k x, for small applied forces. The limit of force for which the rubber band follows Hooke’s law depends on the physical properties of the band, such as cross-sectional area.

What is Hooke’s Law experiment?

Aim of the experiment Hooke’s law states that the extension of a spring is directly proportional to the force applied, provided that the elastic limit is not exceeded. The aim of the experiment is to investigate the relationship between a force and the extension of a spring, and see if the spring obeys Hooke’s law.

How do you measure the cross sectional area of a rubber band?

To do this, measure the diameter in mm as accurately as you can, then divide by 2 to find the radius and use the equation for the area of a circle (A=π r2) to find the cross-sectional area.

What is the length of the rubber band?

A rubber band is given a standard or quasi-standard number based on its dimensions. Generally, rubber bands are numbered from smallest to largest, width first. Thus, rubber bands numbered 8–19 are all 1⁄16 inch wide, with lengths going from 7⁄8 inch to 31⁄2 inches.

What happens when weight is added to a spring?

As the spring becomes compressed and the mass slows down, its kinetic energy is transformed into elastic potential energy. As this transformation occurs, the total amount of mechanical energy is conserved.

What is the force of a rubber band?

The rubber band has a mass of 1.09 grams. This puts the specific energy at 1651 J/kg for stretching and 6605 J/kg for twisting.

How do you calculate elasticity of rubber?

The relationship is expressed by the equation F/M=(L−1−L−2) exp A(L−L−1) where F is the stress, L the ratio of stretched to unstretched length, and M and A are constants. The constant M depends on the nature of the rubber, the extent of vulcanization, and the time of creep. The constant A has a value of about 0.38.

How is Hooke’s Law measured?

Mathematically, Hooke’s Law can be written as F=-kx. Many materials obey this law as long as the load does not exceed the material’s elastic limit. The rate or spring constant, k, relates the force to the extension in SI units: N/m or kg/s2.

Do rubber bands follow Hooke’s law?

The limit of force for which the rubber band follows Hooke’s law depends on the physical properties of the band, such as cross-sectional area. Rubber bands of larger cross sectional area, with larger values of k, follow Hooke’s Law for a greater applied forces than do bands of smaller cross-sectional area.

Why is Hooke’s law important in physics?

Hooke’s Law, believe it or not, is a very important and widely-used law in physics and engineering. Its applications go far beyond springs and rubber bands. You can investigate Hooke’s Law by measuring how much known forces stretch a spring. A convenient way to apply a precisely-known force is to let the weight…

How do you calculate Hooke’s law?

You can investigate Hooke’s Law by measuring how much known forces stretch a spring. A convenient way to apply a precisely-known force is to let the weight of a known mass be the force used to stretch the spring. The force can be calculated from W = mg.

What happens if I over-stretch the springs in my experiment?

Doing so will over-stretch the springs, which will permanently deform them and render them useless. Each lab group should download the Lab Report Template and fill in the relevant information as you perform the experiment. Each person in the group should print-out the Questions section and answer them individually.