Potential energy contributes to the mass

In summary, the mass of a composite object depends on more than just the sum of its individual components. The potential energy and kinetic energy of the system also contribute to its mass. This concept is discussed in various sources, including the book "It's About Time" by N. David Mermin and the Physics 209 website last revised on 3-2-01.
  • #1
bernhard.rothenstein
991
1
i read in many places:even if you put together identical bricks it turns out that the mass of the object you construct depends on how ou put the bricks together.
do they mean that the potential energy contributes to the mass of the constructed object?
 
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  • #2
Give a reference to one of the many places.
 
  • #3
Meir Achuz said:
Give a reference to one of the many places.
give google to look for
Physics 209 last revised 3-2-01
 
  • #4
Meir Achuz said:
Give a reference to one of the many places.
i find the same thing in
n.david.mermin it's about time princeton university press 2005
 
  • #5
bernhard.rothenstein said:
give google to look for
Physics 209 last revised 3-2-01

OK, I found it. It's obviously using "bricks" as a metaphor for constituents of a composite object.

In what follows, by "mass" I mean what is often called "invariant mass" or "rest mass", as does that article.

Yes, the mass of a composite object or system does not necessarily equal the sum of the masses of its individual components. The potential energy of the system contributes to the mass of the system. Atomic nuclei are a well-known example: the mass of a nucleus is smaller than the sum of the masses of the individual protons and neutrons. If the individual components have kinetic energy in the reference frame in which the system as a whole is at rest (total momentum = 0), that contributes to the mass of the system as well.
 
  • #6
Physics 209 last revised 3-2-01 is too long for me to read.
I don't always agree with Mermin, especially on EPR, but I'll buy
Bell's answer.
 

FAQ: Potential energy contributes to the mass

What is potential energy?

Potential energy is the stored energy an object has due to its position or configuration.

How does potential energy contribute to mass?

According to Einstein's famous equation, E=mc^2, energy and mass are equivalent and can be converted into one another. This means that potential energy, being a form of energy, contributes to the overall mass of an object.

Can potential energy increase an object's mass?

Yes, potential energy can increase an object's mass. As potential energy is converted into other forms of energy, such as kinetic energy, the overall mass of the system remains constant. This is known as the law of conservation of mass.

How is potential energy related to gravitational mass?

Potential energy is directly related to gravitational mass, as it is a measure of the interaction between mass and gravity. The higher an object's potential energy, the more mass it has in terms of its gravitational influence.

Can potential energy be measured?

Yes, potential energy can be measured using various methods, depending on the type of potential energy. For example, gravitational potential energy can be measured by calculating an object's height and mass, while elastic potential energy can be measured by determining the distance an object is stretched or compressed from its equilibrium position.

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