The work that must be done to stretch spring a distance x from its equilibrium position is W = ½kx2. Details of the calculation: (a) Given: F = mg = (4 kg)(9.8 m/s2) = 39.2 N. x = 0.025 m.

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## Why does a spring return to its original length?

When we remove the force, we’re left with a permanent extension. Below the elastic limit, we say that the spring is showing “elastic behaviour”: the extension is proportional to the force, and it’ll go back to it’s original length when we remove the force.

## How do you solve a spring problem in physics?

## How does distance affect period of a spring?

If we pull the mass a larger distance from equilibrium and release it, it will move back and forth with more speed but the period will remain the same. If we now pull it an even greater distance from equilibrium and release it, it will rush back and forth with greater speed but the period will still be the same.

## How do you calculate the extension of the spring?

- F is the force in newtons (N)
- k is the ‘spring constant’ in newtons per metre (N/m)
- e is the extension in metres (m)
- This equation holds as long as the limit of proportionality is not exceeded.

## How do you calculate stretch physics?

The equationΔL=1YFAL0 Δ L = 1 Y F A L 0 can be used to find the change in length. =18 m. = 18 m . This is quite a stretch, but only about 0.6% of the unsupported length.

## Does a spring return to its original shape?

A spring is an object that can be deformed by a force and then return to its original shape after the force is removed.

## Why do springs return to their original shape?

Elastic deformation is a type of deformation that occurs when the energy used to change the shape of an object is equally output when pressures and forces are released. For example, when you pull a spring, the spring will return to its original shape when released (energy input equals energy output.)

## What is Hooke’s law for a spring?

Mathematically, Hooke’s law states that the applied force F equals a constant k times the displacement or change in length x, or F = kx. The value of k depends not only on the kind of elastic material under consideration but also on its dimensions and shape.

## How do you solve spring deflection?

The spring deflection formula for determining the deflection a particular spring will experience when a load is applied is load divided by rate (D = L/R). That is, whatever load you are applying to the spring divided by the spring’s rate of deflection will produce the amount of deflection that will occur.

## What is the spring equation in physics?

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 solve Hooke’s law problems?

## What is the relationship between distance and period?

Kepler’s 3rd Law of Planetary Motion states that the square of the orbital period of a body orbiting around a larger body is proportional to the cube of the semi-major axis of the body’s orbit, which is basically the body’s distance from the larger body.

## How does distance affect period?

This is from the Law of Harmonies of Johannes Kepler which states that: The ratio of the squares of the periods of any two planets is equal to the ratio of the cubes of their average distances from the sun. The more distant the planet is, the longer it will take for it to complete one revolution.

## What happens to the distance if the spring constant increases?

For a constant applied force, If the spring constant increases the displacement of the spring will decrease as the stiffness of the spring increases.

## What is Hooke’s Law for extension?

Hooke’s law states that the extension of an elastic object is directly proportional to the force applied to it. This means that if the force applied to an object is doubled, then the extension of the object also doubles. This also means that if there is no force applied, then there is no extension.

## What is Hooke’s Law extension?

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.

## How do you find the extension of a spring constant in an experiment?

## What is the formula of elasticity in physics?

Or, Elasticity = [M1 L-1 T-2] × [M0 L0 T0]-1 = [M1 L-1 T-2]. Therefore, coefficient of elasticity is dimensionally represented as [M1 L-1 T-2].

## Does the spring constant depend on how far the spring is stretched?

the spring constant. Spring concern does not depends on how far the spring is stretched.

## What is it called when a spring bounces back?

The up and down bouncing motion of a weight on a spring is called an oscillation and the spring and weight together are called an oscillator. We have seen that you can describe this back and forth motion using forces or conservation of energy.

## How do springs retain their shape?

A typical spring is a tightly wound coil or spiral of metal that stretches when you pull it (apply a force) and goes back to its original shape when you let it go again (remove the force). In other words, a spring is elastic.

## What is the science behind springs?

Hooke’s Law: The Physics of Springs Hooke’s Law states that the more you deform a spring, the more force it will take to deform it further. Using the example of a common compression spring, the more you compress the spring, the more force it will take to compress it further.

## Why do springs bounce back?

When a coil spring is pushed together the force of which it is pushed together pushes the spring back out creating the bouncy effect. The material needs to be strong so that the shape is not changed or it snaps when it is pushed down (generally metal is used).

## Do springs ever lose tension over time?

A spring under tension for an extended period of time can become weaker. Any object will either resist or deform when subjected to outside stress. Springs are specifically designed to deform in order to absorb energy from outside stress, then return to their natural state when they release that energy.