Can we conclude that a compressed spring has more mass than the same spring when it is not compressed?

As you rightly point out, the E=mc2 relation for an object at rest can then lead us to conclude that the rest mass of a compressed spring exceeds the rest mass of an uncompressed spring.

Why does a stretched spring weigh more?

If we compress the spring we are doing work on it – the work done is W=12kx2 where k is the spring constant and x is the distance we’ve compressed the spring. The internal energy of the spring has increased by 12kx2 and that means its mass has increased by W=12kx2/c2.

What makes up mechanical energy?

As already mentioned, the mechanical energy of an object can be the result of its motion (i.e., kinetic energy) and/or the result of its stored energy of position (i.e., potential energy). The total amount of mechanical energy is merely the sum of the potential energy and the kinetic energy.

How is e mc2 applied?

It says that the energy (E) in a system (an atom, a person, the solar system) is equal to its total mass (m) multiplied by the square of the speed of light (c, equal to 186,000 miles per second). …

How long can a spring stay compressed?

The industry standard for these springs is a life cycle of about 10,000-15,000 uses or a spring life of about 5 years on average. You can choose to increase the spring wire by several sizes and increase spring life to over 100,000 cycles with extra long life springs.

Does a compressed spring have kinetic energy?

The energy is stored in the form of potential energy in a compressed string. The potential energy stored by the string is also called strain energy. The stored potential energy gets converted into kinetic energy if the energy is used to accelerate the mass.

How does mass affect elastic potential energy?

The potential energy of macroscopic object directly depends on the objects mass and height(and the gravitational acceleration). The more mass it has, the more potential energy it has.

What does happen to the energy of the spring when it is compressed or stretched?

When a spring is compressed or stretched, potential energy energy of the spring increases in both the cases. This is because work is done by us in compression as well as stretching.

How do you find the total mechanical energy of a mass spring system?

The total mechanical energy of a spring-mass system in simple harmonic motion is E=12mω2A2. Suppose the oscillating particle is replaced by another particle of double the mass while the amplitude A remains the same.

What happens to mass/energy when a spring is compressed?

Therefore, the compression mechanism and/or the surrounding air would have to loose mass/energy in order to effect an increase in the spring being compressed. As a system, the mass/energy of the spring, the compression mechanism, and the surrounding air would remain constant.

Do compressed Springs weigh more than normal springs?

Hope that you will continue with the kind of stuff you are doing. This is nonsense. The energy is not converted into mass, hence a compressed spring doesn’t weigh more at all… unless you’re going to contend we can remove the spring and be left with the extra mass that materialized due to the added energy. Right?

What is the potential energy of a spring equivalent to?

This (potential) energy that has been given to the spring is equivalent to mass through E=mc 2. The reason we usually don’t worry on such things is that the mass equivalent to this amount of energy is so small, it is basically 0.

How do you increase the mass of a spring?

Adding energy to something (whether by kicking it to make it move, heating it, or raising it up and putting it on a shelf) therefore adds mass to it. Basically, every single constituent part of the object is now a bit heavier. Compressing a spring involves doing some work (energy).