What is Energy: Definition and 999 Discussions

In physics, energy is the quantitative property that must be transferred to a body or physical system to perform work on the body, or to heat it. Energy is a conserved quantity; the law of conservation of energy states that energy can be converted in form, but not created or destroyed. The unit of measurement in the International System of Units (SI) of energy is the joule, which is the energy transferred to an object by the work of moving it a distance of one metre against a force of one newton.
Common forms of energy include the kinetic energy of a moving object, the potential energy stored by an object's position in a force field (gravitational, electric or magnetic), the elastic energy stored by stretching solid objects, the chemical energy released when a fuel burns, the radiant energy carried by light, and the thermal energy due to an object's temperature.
Mass and energy are closely related. Due to mass–energy equivalence, any object that has mass when stationary (called rest mass) also has an equivalent amount of energy whose form is called rest energy, and any additional energy (of any form) acquired by the object above that rest energy will increase the object's total mass just as it increases its total energy. For example, after heating an object, its increase in energy could be measured as a small increase in mass, with a sensitive enough scale.
Living organisms require energy to stay alive, such as the energy humans get from food. Human civilization requires energy to function, which it gets from energy resources such as fossil fuels, nuclear fuel, or renewable energy. The processes of Earth's climate and ecosystem are driven by the radiant energy Earth receives from the Sun and the geothermal energy contained within the earth.

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  1. robotkid786

    B Is perpetual motion a forbidden topic in the scientific community?

    I've only just clocked this to be the case. I asked chat gpt and the say big bang has a lot of merit apparently
  2. A

    B How much heat energy can give out put by ionization gas?

    I mean by accelerating electrons and ions for energy levels in atom
  3. phinds

    What are these possible heat dissipation tubes?

    In the Jan 6 Economist, there is an article about energy ("Britain needs an unprecedented expansion of the electricity grid") headed by this image. I assume that it is part of a power plant but I can't figure out what all those curved tubes are. First, I thought, maybe heat dissipation but they...
  4. W

    Troubleshooting Circular Motion: Solving the Toy Car Loop Puzzle

    I tried using conservation of energy, and using the equations for circular motion, but I can't seem to find a solution. Any help?
  5. L

    How Can I Calculate the Energy of an H-Atom Using One Electron Integrals?

    I tried to calculate the energy of an H-Atom with the one electron integrals. I tried to solve them numericaly but it didn‘t worked. Thats why I am hear.
  6. J

    Find out kinetic Energy using Rutherford Formula

    Hello everyone, I am working on this problem and I think I almost solved it, but then I noticed, that I do not know what values I have for dn, n and dθ. Can anyone help me with this?
  7. M

    Why kinetic energy of system of particles is not equal to p^2/2m

    It is good for the people who wants to know physics and it's beauty
  8. L

    Time crystals: They require energy added back into them?

    I was initially under the impression that time crystals are in lowest energy state and neither gain or lose energy. But other sources suggested they might require a bump in energy after a while to keep going?
  9. L

    Block on slope. Different answers using energy vs forces

    The first equation is when I use forces. The block is in static equilibrium, therefore the spring force should balance the gravitational force. The second equation is when I use energy principles. Energy before compression = Energy at compression. The height before is x * sintheta, and the...
  10. H

    B Where the extra energy comes from?

    Let's say you've created a very large balloon that doesn't explode in a vacuum and filled it with a gas lighter than air. Next, attach the balloon to a basic electric generator with a very light rope and place the balloon in a vacuum tube. Due to the balloon's weight, it will descend in the...
  11. TR094

    B How much energy do you need to split up a proton?

    is it even possible to split pu a proton and how much energy would it take to do that? i heard that it requires so much that it would make new a quark.
  12. J

    1999 AP Physics C Mech: Conservation of momentum and energy

    Why is (1/2)(mv0)^2 = 1/2(M+m0)gh not a valid equation for conservation of energy? Isn't the energy from when the dart is shot the same as when the two masses move at speed v?
  13. Bobski

    I Discover the Relationship Between Mass and Energy in Electromagnetic Fields

    When E=mc^2 is rearranged using the substitution c=1/√ε0μ0 , and making mass the subject we get m=Eε0μ0 This equation basically says that mass is directly proportional to the energy contained in an electromagnetic field. Does it not? Does this equation tell us that mass particles are made up of...
  14. T

    I Energy of spinning objects as axis of rotation moves

    Imagine an object, e.g throwing knife, spins in the air but not forced to rotate about a particular axis, i.e no rod impaling it and forcing it to spin about the rod. Then the axis of rotation converges to it's center of mass (CM) to minimize I. But there's nowhere for it's rotation energy to go...
  15. D

    I Spacecraft With Solar Mass Energy Equivalent Kinetic Energy

    Suppose in a different star system, a space shuttle sized spacecraft acquired a solar mass energy equivalent amount of kinetic energy, then passed through our solar system. While it was passing through the solar system would the craft’s gravitational effects be more similar to the space shuttle...
  16. T

    I Why is not possible to store electric energy from a Lightning?

    That question has been puzzling me recently. But I know there is a simple answer to it.
  17. Venturi365

    Solving for Masses in an Atwood Machine

    I've tried to solve this exercise but I haven't used one of the properties of the system (the displacement of the masses) so I don't know if I'm wrong about my procedure. First of all, we (obviously) know that $$ P=P $$ And since we can express the power of a force in two different ways, we...
  18. P

    I Infinite value of amplìtude of an undamped driven oscillator at resonance

    So if we set the damping constant ##\beta=0## that is if we consider an undamped oscillator the amplitude becomes infinity! What is the physical meaning of this phenomena? As we know energy fed into the system is proportional to ##A^2##. So does this mean that an infinite amount of energy is...
  19. J

    Quantum Mechanics homework question on wavefunctions

    Absolutely no clue on how to even begin this question due to the exceptionally poor quality of our lectures, who has also flatly refused to give out any solutions, which I could have used to understand what is going on. I assume the energy has to be obtained by using the eigenfunction equation...
  20. G

    I Looking for a unified expression for energy in rotating systems

    Hello, I am wondering if anyone can give me a hand. I am looking for a unified expression for energy in rotating systems or wondering if one even exists. Any help or equations you wish to share about the topic would be great. Sorry I am quite new to physics. Thanks
  21. user366312

    How can I compute energy from a protein PDB file?

    Suppose I have a protein PDB file and want to compute energy using the following formula from the coordinates in that file. How can I do that? Sometimes people suggest using the `CONECT` field for that purpose. However, some PDB files do not have this field. Example: 4OSK.pdb (Crystal...
  22. Dario56

    I Is the Poynting Vector Field the Only Factor in Energy Flow in Circuits?

    In a simple circuit consisting of a battery and a resistor, current will flow if the circuit is closed. Resistor uses the energy provided by the battery, creating heat with a power ##P = UI##, where ##U## is a voltage across the resistor and ##I## is a current through the resistor. In my...
  23. physicsmaster123

    Work done by gravity on a car rolling down a hill

    I tried E =Fxcos0 but only ended up with 243kJ
  24. jcalises

    B Virtual particles and Heisenberg

    I registered yesterday in this forum with the intention of someone clarifying me how the Heisenberg uncertainty principle can explain the existence of virtual particles. More energy implies less lifetime is only possible if ΔE Δt = h/4Pi, but that's not Heisenberg's principle, the principle is...
  25. kenobiobiwan66

    Energy Production through Stirling Engine?

    A Beta-Type Regular Low Temperature Striling Engine being used to produce mechanical energy, where hot water at 350K is being used as fuel. What power should one expect theoretically?
  26. E

    Calculating the Energy Absorbed by a Spring in a Car Suspension System

    I approach this by considering the four springs in parallel each with spring constant ##k## as one spring with four times the spring constant ##k' = 4k##. The car is dropped and at the moment its tyres touch the ground I assume that the spring is in its resting position. As the car continues to...
  27. A

    Can energy truly be converted into matter in our world?

    Theoretically possible, only if the process is reversible. But is it really. My knowledge base is insufficient to answer that. I need help.
  28. E

    I Obtaining this form for molar energy under virial expansion (Callen)

    In his Chapter 13.3 (2nd edition), Callen gives the standard form for the virial expansion for the mechanical equation of state of a fluid as an exapnsion in powers of the molar volume ##v##: $$P = \frac{RT}{v}\left(1 + \frac{B(T)}{v} + \frac{C(T)}{v^2} + \dots \right) \equiv P_{ideal} +...
  29. Steve Rogers

    I Quasi-local mass as a measure of the gravitational energy?

    I'm self-studying the mathematical aspects of quasi-local mass, or quasi-local energy (e.g. Hawking energy), and a fundamental question has been lingering in my mind for a long time: why does quasi-local mass provide us with a measure of the gravitational energy? In general relativity...
  30. a71cj34

    Same Charge, Same Mass? | Subatomic Particles

    I converted 3.1eV into J, substituted into E = mc^2. Since the energy is the same, I got the same answer for both: 5.52*10^-36 kg. This doesn't seem quite right- I doubt that a photon and an electron have the same mass. So, when two particles have the same charge, does that mean they have the...
  31. Slimy0233

    B What is m in Kinetic Energy? Relativistic mass or Rest mass?

    note: m = relativistic mass ##m_o## = rest mass v = velocity of the objectQuestion 1: If a particle is moving at relativistic speeds what would it's kinetic energy be? I think it's ##K.E. = \frac{1}{2} m_o v^2## and my friend thinks it's ##K.E. = \frac{1}{2} \frac{m_o...
  32. RobbyQ

    I Mass, Energy and a compressed spring

    If I take a spring with clamps and I weight that system accurately. Then I compress the spring and clamp it thus giving it potential energy. If I now weigh the clamped spring I should see an increase in mass because of the added energy. Is this the case and something that could be proved in the...
  33. Lupin

    I How much energy (in Joules) is stored in a standard 12g CO2 cartridge?

    A standard 12 gram cartridge contains both liquid and gaseous CO2 at 850psi. Assuming we are venting to atmosphere at sea level, how much energy can be extracted from the cartridge? We know it will expand to 12 grams * 22.4 liters/ 1 mole (44grams) = 6.1 liters. But how much energy did...
  34. E

    I Helmholtz entropy of ideal gas mixture is additive?

    In his classic textbook, Callen remarks that I have labelled the claims (1) and (2). I am not sure about either. For the first, I have tried to proceed as follows (all equations are from Callen's second edition and all 0 subscripts are with respect to some reference state of an ideal gas): I...
  35. new_scientist

    I Is the energy destroyed in this experiment?

    Suppose you stand on a spherical permanent magnet in space and you hold an iron ball in your hand, you can neglect the gravity force by this magnet mass. You stand and throw the iron ball upwards with some kinetic energy, the ball will eventually stops at some height because it is attracted by...
  36. E

    I How can the maximum entropy and minimum energy principles be physical?

    In Chapter 5 of his famous textbook on thermodynamics, Callen argues for the "equivalence" of the maximum entropy (Max-Ent) principle and the minimum energy (Min-En) principles. I quote from Callen first: As far as I know (though Callen never makes this explicit in what, I think, represents...
  37. Nischal

    Long-lasting, effective and reliable energy source

    Discussion with people related to energy and work on the field of finding new energy source, Article and research paper based on source of energy, Videos related to future energy source.
  38. Szecska8

    I Stored magnetic energy of solenoid

    Can someone explain to me what the second integral represents and what is A?
  39. P

    I Emission Spectrum & Energy: Exciting Hydrogen Vapor

    By exciting hydrogen vapors with heat or electrical discharges, it is possible to obtain the element's emission spectrum. In it, as can be seen, appear multiple wavelengths, each corresponding to a particular orbital electronic transition. From this it can, therefore, be inferred that heat and...
  40. phos19

    I Fermi energy for a Fermion gas with a multiplicity function ##g_n##

    I ran across the following problem : Statement: Consider a gas of ## N ## fermions and suppose that each energy level ## \varepsilon_n## has a multiplicity of ## g_n = (n+1)^2 ##. What is the Fermi energy and the average energy of this gas when ## N \rightarrow \infty## ? My attempt: The...
  41. milkism

    Oscillating dipoles, energy and brightness

    Problem: Attempt at solution: So "energy passing through per unit area per unit time" is equal to $$I = \frac{E_i}{A t}$$ So for a the graph will be in the form of ##y=1/x##? For b) do we have to solve the differential equation $$dI = \frac{E_i}{A dt}$$?
  42. kuruman

    What is the Potential for Clean Energy Development According to Schwarzenegger?

    Our Governator is attending the Austria world initiative on climate change. He wants us to know that we have "2000 Gigabytes of clean energy" waiting to be developed if only the permit process can be expedited. Lucky us. Listen to the video at about t = 2:20 and rejoice...
  43. S

    B Examples of less popular pairs of physical properties with uncertainty (HUP)

    Position and momentum are the popular pairs of properties with uncertainty we often hear about, for example that we cannot know with precision where an electron is and its momentum at the same time. What are others? Such as an example of an energy and a time that we cannot know both...
  44. TonyCross

    Kinetic-Potential energy of moving Ice

    Hi, Am i correct in thinking that if we take a block of ice, moving at a constant velocity, it's then exposed to a heat source which melts the ice and turns it into water vapour, that we have simply removed any Kinetic energy, by Sublimation or converting it into heat. My question is does the...
  45. L

    Admissions DOE SULI Advice For Biology Background - Renewable Energy Development

    Hi Everyone! I am an upperclassmen undergrad of a biol background, with mainly course training in biochemistry and molecular biol, and taken chem like o-chem and a-chem, and introductory physics. I have three short term summer projects at top 5 institutions in the past and in the field of...
  46. WMDhamnekar

    Chemistry Valence Bond Theory: Energy of a system with H and Cl atoms

    Answer: The energy of a system with H and Cl atoms at varying distances can be represented by a curve that shows the potential energy of the system as a function of the distance between the two atoms. At very large distances, the potential energy is zero because there is no interaction between...
  47. C

    Work energy KE theorem for a book being lifted up in a gravitional field

    For this, From the work kinetic energy theorem, if we assume that the book and the earth is the system, and that the finial and inital speed of the system is zero, then is the work KE theorem there is no net work done on the system. However, clearly there is work done on the system is shown by...
  48. gkg

    A Force Changing With Distance (bead moving on a curved wire)

    I initially tried to solve this equation using work, but was stuck in a confusing integral that didn't make sense. I am almost sure that the utilization of energy is needed to solve this equation, but I have been flustered for the past three days at solving this.
  49. uSee2

    Kinetic Energy of a Cylinder Rolling Without Slipping

    Given that there is a cylinder rolling without slipping down an incline, the method I was taught to represent the KE of the cylinder was: ##KE_{total} = KE_{translational} + KE_{rotational}## ##KE_{total} = \frac {1} {2} mv_{cm}^2 + \frac1 2 I \omega^2## Where "cm" is the center of mass, and...
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