In order to compress or stretch a spring, you have to do work.
You must exert a force on the spring equal in magnitude to the force the spring exerts on you
, but opposite in direction. The force you exert is in the direction of the displacement x from its equilibrium position, F
ext
= kx. You therefore do work.
How does a compressed spring can do work?
When a spring is compressed then the work done on it, is
stored in form of strain energy within the elastic limit
. … Thus a spring compressed within the elastic limit releases its strain energy to do an equivalent amount of work i.e. a compressed spring can displace a finite object through certain distance .
What happens to the work done when a spring is stretched or compressed?
The work done in stretching or compressing a spring is
proportional to the square of the displacement
. If we double the displacement, we do 4 times as much work.
When you compress a spring you do work on it the elastic potential energy of the spring?
Elastic potential energy is energy stored as a result of applying a force to deform an elastic object. The energy is stored until the force is removed and the object
springs
back to its original shape, doing work in the process. The deformation could involve compressing, stretching or twisting the object.
Why is the work done by a spring when it is stretched or compressed negative?
You pull a spring to extend it. The force you exert on the spring is in the same direction as your displacement. You have done positive work on the spring.
The force that the spring exerts on you is in the opposite direction to its displacement
so the spring has done negative work.
What does a stretched spring do when released?
If the energy comes back out when
the pressures and forces are
released, that deformation is called elastic deformation. For example, when you pull a spring (using energy) the spring will bounce when released (energy comes back out).
How do you find the maximum compression of a spring?
⇒F=kx , here F is the force applied by a spring having the spring constant k due to an extension x in the spring. Thus the maximum compression of the spring comes out to be equal to
mak
.
What is the elastic potential energy stored in the compressed spring?
According to Hooke’s law, the force applied to stretch the spring is directly proportional to the amount of stretch. Where, P.E = elastic potential energy and it’s expressed in Joule. A compressed spring has the potential energy of
20 J
and its spring constant is 200 N/m.
How can you prove that the potential energy of a stretched spring turns into kinetic energy when you release the spring?
Determine the spring’s initial potential energy. From calculus, the formula is
(0.5)kx^2
, where x^2 is the square of the initial displacement of the end of the spring. The kinetic and potential energy at any point will sum to this value.
When the compression of a spring is doubled the potential energy stored in the spring is?
The work done to stretch or compress the spring is stored in the spring as
elastic potential energy
. The elastic potential energy of a spring is one half the product of its spring constant multiplied by the square of its deformation.
Why is force of spring negative?
The force exerted by a spring is called a restoring force
Is stretching a spring positive or negative work?
If a spring is stretched, the direction of applied force and the direction of displacement are the same. And the angle between the force and the displacement is zero, which results in the
positive work
done by the stretching force.
Is force of spring negative?
The spring force is called a restoring force
Where is energy lost in a spring?
The energy goes into the thermal energy of the spring,
the air around the block
, or the block itself.
What happen to the spring when you push it?
When you use a pushing or pulling force to stretch a spring, you’re using a force over a distance so, in physics terms, you’re
doing work and using energy
. … The energy you use isn’t lost: most of it is stored as potential energy in the spring. Release a stretched spring and you can use it to do work for you.
Does a stiffer spring have more elastic spring force?
A less stiff object can be stretched or compressed more easily. Comparing two elastic objects, more elastic spring
force would act on the stiffer elastic object
when they are stretched or compressed by the same length.
