## Why did the weight go downward when it was attached to the spring?

The force tries to return the spring to its “rest” position. As the equation indicates, this force varies with the displacement. If the spring is then stretched beyond this point and released, the weight will oscillate up and down moving above and below the rest position.

## How do you calculate how far a spring will stretch?

Reasoning: We can find the spring constant of the spring from the given data for the 4 kg mass. Then we use x = F/k to find the displacement of a 1.5 kg mass. The work that must be done to stretch spring a distance x from its equilibrium position is W = ½kx2.

## How do you find the kinetic energy of a spring?

Identify the spring’s maximum kinetic energy, at the equilibrium point, as equal to the initial potential energy. Calculate the kinetic energy at any other point of displacement, X, by subtracting the potential energy at that point from the initial potential energy: KE = (0.5)kx^2 – (0.5)kX^2.

## What is the relationship of the force on the spring and stretch of the spring?

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. The force a spring exerts is a restoring force, it acts to restore the spring to its equilibrium length.

## What is the potential energy of a spring?

Elastic potential energy is Potential energy stored as a result of deformation of an elastic object, such as the stretching of a spring. It is equal to the work done to stretch the spring, which depends upon the spring constant k as well as the distance stretched.

## When a spring is compressed the energy?

Answer Expert Verified. When a spring is compressed, the energy changes from the kinetic to potential. It is caused by the work done. It is due to the work done that creates a change in the overall energy of the system.

## What does a larger spring constant mean?

A higher spring constant means a stiffer spring that’s harder to stretch (because for a given displacement, x, the resulting force F will be higher), while a looser spring that’s easier to stretch will have a lower spring constant.

## How do you calculate work done by a spring?

Work by spring force

- F=-kx.
- WS=∫F(x)ⅆx.
- ⇒WS=-12kx2.
- ⇒Kf=Ki.

## In what situation is the potential energy of a spring minimum?

The potential energy of the spring is at a maximum since the spring is stretched at its maximum extension. The potential energy due to gravity is at a minimum, since the mass is lifted the least amount above ground.

## What eventually happens to the mass and spring?

When a mass is hung vertically from a spring, the spring stretches. The force on the mass due to the spring is proportional to the amount the spring is stretched. The restoring force results in the mass eventually returning to the equilibrium position.

## What happens to the spring if you hang object into it?

We know that if we hang a mass from a spring and pull it down, that displacement creates a stretch of the spring that can accelerate the mass, creating kinetic energy. If the spring has little or no internal friction, the mass will go up, come back down, turn around, and start moving up again.

## How do you find the maximum potential energy of a spring?

How to calculate the potential energy of a spring

- Determine the spring constant k .
- Decide how far you want to stretch or compress your spring.
- Substitute these values to the spring potential energy formula: U = ½kΔx2 .
- Calculate the energy.

## Does the spring constant have a unit?

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

## Does Mass Affect period of a spring?

The period will increase as the mass increases. More mass-with the same spring-will mean a larger period. 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.

## What does spring constant depend on?

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.

## Does spring constant change with diameter?

Spring constant is a measure of the stiffness of the spring. If the thickness of the wire is increased then the spring constant increases. With an increase in the diameter of the coil of the spring constant decreases.

## How does spring constant affect stiffness?

The letter k represents the “spring constant,” a number which essentially tells us how “stiff” a spring is. If you have a large value of k, that means more force is required to stretch it a certain length than you would need to stretch a less stiff spring the same length.

## How do you calculate the average spring constant?

W = kx. W is the weight of the added mass. Therefore, the spring constant k is the slope of the straight line W versus x plot. Weight is mass times the acceleration of gravity or W = mg where g is about 980 cm/sec2.

## What does a stiff spring mean?

The spring constant, k, is representative of how stiff the spring is. Stiffer (more difficult to stretch) springs have higher spring constants. The displacement of an object is a distance measurement that describes that change from the normal, or equilibrium, position.

## Can the spring constant change?

As i increased the force acting on the spring, ie stretched it further, the calculated spring constant changed from about 4.5 down to 3.5. I believe I also did not reach the elastic limit of the spring, as we retested it and got the same results. For small displacements, k will remain fairly constant.

## What is an example of spring force?

Many examples of springs are part of products that we use every day, such as rubber bands, bungee cords, the keys and buttons found on computers, elevators, appliances, toys (write these on the classroom board; ask students to think of additional examples).

## Are longer springs stiffer?

It might help clarify things if you think of any spring, coil or otherwise as a leaf spring. Longer is easier to flex. Thicker is harder to flex.

## Are stiffer springs better?

Whereas, a stiff spring helps in making the ride more comfortable when it comes to bumps, depressions, and surface irregularities of the road. Therefore, luxury cars prefer to have a soft suspension, because comfort matters more than handling for a perfectly smooth ride.

## Is higher spring rate better?

You might think the higher spring rate would react faster, but in reality, the lower spring rate will contact the ground first, and thus allows for more grip. With a lower spring rate, the force pressing the tire down remains higher longer relative to the amount of travel it has, so it contacts the ground much sooner.

## Do Springs affect quality?

Of course, all the vehicle’s springs can be fatigued and that will cause the car to ride lower. Each of these cases of worn springs require replacement, as the any vehicle’s sagging will adversely affect steering, alignment and — most importantly, safety.

## What is a good spring rate?

25-30%