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. P

    B Keep that wheel a-turnin' -- How much energy is required?

    I know I'm probably overcomplicating this question, but I'm having a bit of difficulty coming up with a singular answer. I have a 4-foot diameter flywheel that I need to turn with an electric motor of an unknown horsepower. I say unknown because I I don't know what I need based upon the...
  2. E

    Definition of energy level width

    First, it is easy to see that n=4 after the collision because: E_1=-13.6\frac{1^2}{1^2}eV=-13.6eV E_4=-13.6\frac{1^2}{4^2}eV=-0.85eV E_5=-13.6\frac{z^2}{5^2}eV=-0.544eVBut, I never saw a definition for the width of an energy level. I tried to use something I saw online that said it was...
  3. wcjy

    Conservation of energy, centripetal acceleration, kinematics

    (a) Using COE, $$mgh = 0.5mv^2 + 0.5I\omega^2$$ I solved it, where $$\omega = 112 rad/s$$ (b) This is the part where I have question or problem. I saw my course mate working and he start of with finding centripetal acceleration. $$a_c = \frac{v^2}{r} = \frac{(r_0\omega)^2}{R_0}$$ Why isn't it...
  4. wcjy

    Effect of Leakage on Capacitor Energy Storage

    $$R_{eff} = R_1 + \frac{1}{\frac{1}{R_2}+\frac{1}{R_3}} = 1.4 + 0.6 = 2$$ PD of R3 = 4 / 2 * 0.6 = 1.2 Net PD of the capacitor = 2- 1.2 = 0.8V $$ E = \frac {1}{2} CV^2$$ E = 0.8 ^2 * ( 3*10^-6) / 2 E = 9.6 * 10^-7 Correct answer is: 4.27 * 10^-7 was thinking if i should find the Effective...
  5. E

    Redshift & Total Energy Density

    1. If today vacuum and matter contribute 71 % and 29 % to the total energy density of the universe, at what redshift z were they contributing equally? 2. If today vacuum, matter, and radiation contribute 71 %, 29 %, and 0.01% to the total energy density of the universe, at what redshift z were...
  6. Alain De Vos

    I Change law of gravitation to remove dark energy and dark matter

    The speed of star on the outer of are solar system is not according to the visible mass. Change the law of gravitation F = 1/r^2 to fix this. Galaxies far away are moving away with increasing speed. Change the law of gravitation F = 1/r^2 to fix this, include a repulsive force to fix. Would this...
  7. M

    I Separating particles in a zero point energy field

    From my understanding, quantum fluctuations create particle pairs that are usually annihilated. Is it possible to use some kind of force (eg: electromagnetism) to direct and separate antiparticles from normal particles? I believe experiments have proven that it is possible to store positrons...
  8. GranMix

    Thermodynamic meaning of molar Gibbs free energy

    I know that when it is ΔG>0 , it means there is no spontaneity, when ΔG=0 there is equilibrium, and when ΔG<0, there is spontaneity. But what happens when this is in the context of partial molar properties, when G is molar? I suppose molar ΔG is referred to a solution. Right? In that case, is...
  9. F

    I Understanding the concept of energy

    Hello Forum, Energy, like space and time, is a common concept but little understood. I think Feynman himself stated energy is hard to describe... I have a few observations in regards to energy and I would like your feedback on them: While force, which represents an interaction between two...
  10. MagneticNeutron

    Semi-Empirical Mass and E=mc^2 close, but both off? Binding Energy calc

    Hi, I am calculating the binding energy of 11- Na- 18 Stats: Table of nuclides has BE/A = 6.202276 ± 0.006249 MeV m used = 18.026878252 amu E= mc^2 answer = 5.894327537620224 MeV Semi Empirical Answer = 5.919667778950925 MeV Including excess mass in E = mc^2 method 1 - Calculate...
  11. J

    I Zero-point energy of the harmonic oscillator

    First time posting in this part of the website, I apologize in advance if my formatting is off. This isn't quite a homework question so much as me trying to reason through the work in a way that quickly makes sense in my head. I am posting in hopes that someone can tell me if my reasoning is...
  12. H

    Plane pendulum: Lagrangian, Hamiltonian and energy conservation

    Hello! I need some help with this problem. I've solved most of it, but I need some help with the Hamiltonian. I will run through the problem as I've solved it, but it's the Hamiltonian at the end that gives me trouble. To find the Lagrangian, start by finding the x- and y-positions of the...
  13. Rzbs

    I Importance of the energy gap in electronic transport properties

    In the solid state physics by Ashcroft & Mermin, in chapter 9 there is a paragraph that I would be grateful if anyone could explain it more for me. The paragraph is: As it said in chapter 12 it will be seen. I read chapter 12 but unfortunately I can't understand what exactly it want to say...
  14. A

    Can clean energy replace fossil fuels?

    If you search the net with the question: "Can clean energy replace fossil fuels?" then no clear answer is given. On the website https://blog.arcadia.com/top-7-questions-youve-asked-google-renewable-energy/ it is said: Yes! However, despite falling costs, wind and solar only produce a little...
  15. L

    Energy Dissipated: Calculate Rate in Joules/sec

    A 2.2-kg measuring instrument is mounted on a balloon by your scientific team for atmospheric studies. At the top of its flight, the instrument is released from the balloon and falls most of the way back to Earth before a parachute opens. You are told that the magnitude of the acceleration at...
  16. A

    B Fundamental fields and vacuum energy

    Please forward to appropriate subforums as I wasn't sure where to post it.In the standard model there are the composite particles and elementary particles, for the elementary particles there is said to be an associated field and the particle is the excitation of that field. Apart from asking how...
  17. amjad-sh

    Diffraction of light and conservation of energy.

    Suppose that we shined a source of light on a wall with infinitismal small opening. As the opening is infinitismly small, only one ray of light will pass through the opening ( suppose it has an intensity ##I_0##) and this ray of light will diffract into an infinite number of light rays with the...
  18. T

    I Quantum numbers for energy levels

    Hello Can some one explain how you work out the combinations of quantum numbers for infinite wells in higher dimensions? For example if i have an energy level $$E_4$$ In a 2D well, then for quantum numbers does this mean the combinations allowed must be: $$4^2 + 1^2$$ $$1^2 + 4^2$$ So then...
  19. P

    B Energy Harvesting: Calculating kWh from Motorway Traffic

    Hello there :) if there were an energy converter for a motorway where 5000000 cars drive over it annually and that has an efficiency of 100 percent, how many kWh does the energy converter give me? The energy converter would generate 4000 joules / s per pass. (P = 1400 * 9.81 * 0.02 / 0.07)...
  20. russ_watters

    Lab Ventilation Energy Use and COVID

    Welcome to PF! I'm an HVAC engineer and I actually gave a talk/round-table with the founder of your organization a few years ago: https://www.westchesterbiotechproject.org/innovation-in-research-2017 One factoid I give on labs that speaks to what people know is that a single 8' constant volume...
  21. M

    Understanding Nuclear Stability: The Role of Binding Energy

    This is an example from my textbook that I am having trouble understanding. So the binding energy of Beryllium-8 is positive 56.6 MeV, so it means the nuclide is stable, right? My textbook seems to use the reference of positive binding energy as being stable. And so that means alpha decay for...
  22. patric44

    An experiment for the determination of hydrogen ionization energy

    hi guys i saw this experiment in an old book that uses the gas vacuum tube "thyratron" for determining the hydrogen ionization energy , the idea i guess is straight forward : we set the filament current to a specific value then the electrons starts to emit from the cathode traveling its way to...
  23. cestlavie

    How much energy would enter your pupils from an explosion in space?

    The answer is 1.1 J, but I don't know how to get there. The only equation I can think of that might be related to this is Intensity, which I've added above. I could find area, using .0004m as the diameter, and energy using 2.0 E 46 J, but I get stuck on energy.
  24. T

    I Is it possible to extend Newtonian gravity to include energy as well as mass?

    Hello there.My question is:can Newtonian gravity be generalised to include not only bodies with mass but energy also?Thank you.Can my thread be moved to classical physics?
  25. C

    Find the ratio of the energy of the La characteristic x-ray to the Ka

    I found my energies for Potassium. I have 3.3 KeV for the k alpha nd 254.6 ev for L alpha, using z=19 and n=3. Are these values correct? Edit: I found the ratio to be .077
  26. B

    Chiller power consumption calculation

    Hello, If I am trying to calculate the heat removed from a chiller system through this formula on engineering toolbox.com: Does COP or efficiency of the equipment come into play with this calculation? For example if a chiller is fully loaded isn't it running more efficient for a watt/ton...
  27. T

    Resonance vs. Conservation of Energy

    I can solve the equation for a damped oscillator with a forcing function. I can then plot the Kinetic and Potential Energy. They will be out of phase, of course (KE peaking when PE is zero, and vice versa) And we know that when the input frequency is close to the natural frequency, the system...
  28. ChaoticNeutralStuden

    Verifying Results w/ Newton's & Energy Laws: Justifying Hypotenuse=D

    Using the Newton's laws my result was h/hypotenuse and using the energy equations my result was h/D. My results are right ? And if so, how i justify the hypotenuse = D . Sorry for the bad english, the homework was poorly translated.
  29. bob012345

    I Is Probability in Quantum States Proportional to Energy Levels?

    Given a particle in a 1D box with a finite number of states ##m##, is the probability a particle is in a certain state ##n## equal to the energy of that state divided by the sum of energies of all states? In other words, given $$ E_n = \dfrac{n^{2}h^{2}}{8mL^{2}}$$ is $$P_n=...
  30. Andrei0408

    Gravitational Potential Energy

    I know I just have to replace in the equation, I just want to know, is d=r=0.5 m or is d=2r, so r = 0.25 m ?
  31. WMDhamnekar

    MHB Lattice energy, hydration energy, solution energy

    Hi, The enthalpy of crystallization of $KCl$ (Potassium Chloride) is + 715 kJ/mol. The enthalpies of hydration for Potassium and Chloride are -322 and -363 kJ/mol respectively. So, enthalpy of solution of $KCl \Delta H_{sol}=\Delta H_{lattice} - \Delta H_{hyd}$ $\Delta H_{sol}=715 kJ/mol -685...
  32. tolerl

    Best CT connected energy meter rating for a CT with secondary 5A

    I work in a Maldivian Utility Company. Our engineering team is pretty weak so I don't have anybody in the company to ask even though this is the state electric company. A supplier quoted us 2 CT meters . Rating for one is given as 1A(6A) and other as 5A(20A) which I believe is 1A basic current...
  33. The black vegetable

    A How to find the gamma function for a fermion vacuum energy calculation?

    Following the method by Peskin and Shroesder 11.4 Trying to calculate the vacuum energy of a fermion. If my method is correct so far the next step is to find gamma function , the formula I have for gamma fuctions doesn't match this equation. Can anyone help with the next step? Starting with the...
  34. B

    Engineering Steady flow energy equation in Thermodynamics

    I am looking for help on the following: a) Given the system shown in the figure below, derive the steady flow energy equation from first principle. b) Again using first principles, show how the energy equation would change for the case when the system is unsteady. I am trying to learn this...
  35. R

    B Distance covered when 22 MeV gamma rays travel through air

    Both alpha and beta radiations can only travel short distances through air as they're not as penetrating as gamma radiations. How long gamma radiations with 22 MeV energy can travel in air? Is it meters, kilometers, miles, etc. Is there a difference between a lower energy gamma ray and a higher...
  36. smaharoof

    Programs Fusion Energy Research Pathway

    Hello all, I have a community college student who is deciding on his major. He is really interested in Fusion energy and wants to pursue that path. He was in the Engineering Program and now, after doing some research, believes he should be in the physics program (A.S. degree in Physics). The...
  37. F

    "Storing" energy when it is not being used?

    Hello, When discussing alternative sources of energy, like solar, wind, etc., we often hear that if the energy produced by these sources which is not immediately used, can be "sent" to the power plant and used later... I don't think the idea that is energy being transferred "somewhere" and...
  38. S

    B Question about energy needed by electron to change energy levels

    Electron can move from lower energy level to higher energy level when it absorbs energy equal to the difference between the energy levels based on equation: ##hf = \Delta E## If the incident photon has lower energy compared to ##\Delta E##, then electron won't move to higher energy level. But...
  39. P

    Interactions Between 2 Dipoles

    Draw graphs showing how interaction energy depends upon the relative orientation of two dipoles if (i) p1 is parallel to r, (ii) p1 is perpendicular to r. I've done the first part and found the interaction energy as UInt = 1/(4*pi*epsilon0*r^3)*[p1.p2-3(p1.r^)(p2.r^)] which I know is correct...
  40. J

    I Energy in the Hamiltonian formalism from phase space evolution

    The hamiltonian ´for a free falling body is $$H = \dfrac{p^2}{2m} + mgy$$ and since we are using cartesian coordinates that do not depend on time and the potential only depends on the position, we know that ##H=E##. For this hamiltonian, using the Hamilton's equations and initial conditions...
  41. P

    Finding Force and Energy from an indentation into a volume

    Hello folks, a recent theoretical discussion with a materials engineer has left my head spinning, this sort of thing is beyond me but I am curious if any of the clever folks on here could solve my problem. I want to find the Force and Energy applied by my Indenter within the following...
  42. no_drama_llama_77

    Dampers and energy dissipation

    "What is a tuned mass damper" by practical engineering From 6:36 to 7:07How does the energy of the pendulum tuned mass damper (PTMD) dissipate energy back into the building? Intuitively, it seems like it's momentum or resonance, where the PTMD is in phase with the motion of the building and thus...
  43. T

    Why Are Allowed Energy Levels Odd at ##x=0##?

    I know that there is a boundary condition at ##x=0## where the wave function becomes zero however why are the allowed energy levels odd i.e. ##n=1, 3, 5 ..##
  44. T

    Understanding the Relationship Between Momentum and Energy: A Classical Approach

    I am trying to relate these equations to get the energy with respect to momentum based on particle wavelengths. I did the following: $$\lambda = h/p$$ so $$p= h/ \lambda $$ Then $$p=mv$$ and $$E=1/2mv^2$$ So $$E = pv/2 $$ But the answer was: $$E = p^2/2m $$ I don't understand how they...
  45. mcastillo356

    First law of Thermodynamics and energy conservation

    Hi PF! I don't understand the sentence: on one side says the energy is preserved, and, at the end, the total energy of the system will change if ##W## or ##Q## is added: ##\Delta{U}=Q+W##. Greetings!
  46. J

    The Greenhouse Effect: Trapping IR Energy through Absorption and Re-emission

    Is the mechanism of greenhouse gases trapping energy emitted as Infra Red radiation by the cooling ground either reflecting back a 50% of the radiated IR energy back to Earth or/and the greenhouse gas molecule becoming excited with the extra energy and essentially becoming hotter? Is it just the...
  47. WMDhamnekar

    MHB How to compute the energy needed to compress the water isothermally?

    Hi, Answer given is $E_n=29.4 Joules$ Here is the question. Answer provided by the Chemistry math expert/Professor is as follows but it is different from the answer given. How is that? Compressibility is the fractional change in volume per unit increase in pressure. For each atmosphere...
  48. R

    B Which one is more efficient in generating high energy Gamma rays?

    According to https://apps.dtic.mil/dtic/tr/fulltext/u2/a351472.pdf the big pulsed power accelerator, HERMES III, generate electron beam with peak energy at 22 MeV and average electron energy at 16 MeV and the resulting photon energy which is bremsstrahlung radiation is approximately 2 MeV...
  49. N

    I Conservation of energy in Everett's MWI

    The question seems similar to the one asked here, https://www.physicsforums.com/threads/energy-in-everetts-many-worlds-interpretation.966266/ but since there didn't seem to be an answer I am asking it again in a slightly different form. I was watching a youtube video where Sean Carroll...
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