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1 vote
2 answers
11k views

Work done relation to potential energy

I know work done is negative of change in potential energy, I.e., $W=-(∆U)$. It means that Work done against a force (or work done on a system) increases its potential energy. And Work done by a ...
Perspicacious's user avatar
1 vote
3 answers
2k views

Work kinetic energy theorem

I don't understand the wordings of this theorem. Can someone please help me in understanding this? Secondly, on what basis are the sign conventions in this theorem applied? I get confused in positive ...
Atharv's user avatar
  • 39
0 votes
2 answers
296 views

Sign in $\Delta U= -\int\vec{F}\cdot d\vec{l}$

So I have been trying to understand why there is a negative sign in the following$\Delta U= -\int\vec{F}\cdot d\vec{l}$ I wanted to try to understand it by trying to derive the gravitational ...
Luca Ion's user avatar
  • 157
16 votes
3 answers
6k views

Do all forms of energy fall under kinetic and potential energy?

I know that energy is recognized through motion. Even in the mass-energy equivalence a velocity is present even though it is a rest-energy (Not really sure if this would count as a potential energy ...
Obliv's user avatar
  • 551
15 votes
2 answers
5k views

How is energy stored in magnetic and electric fields?

We say that there is energy associated with electric and magnetic fields. For example, in the case of an inductor, we give a vague answer saying that an energy of $\frac{1}{2} LI^2$ is stored in the ...
Yashas's user avatar
  • 7,203
14 votes
5 answers
8k views

Does potential energy of an object increases its relativistic mass?

I know that in relativistic condition the increase in kinetic energy of an object increases its relativistic mass as $$m=\frac{m_0}{(1-v^2/c^2)^{1/2}},$$ and mass is another form of energy. So my ...
Sagar Timalsina's user avatar
12 votes
3 answers
152k views

How does one prove that Energy = Voltage x Charge?

We know $$E = q V$$ where $E$ is the energy (in Joules), $V$ is the potential difference (in Volts), and $q$ is the charge. Why is this equation true and how we prove it?
Mohammad Fakhrey's user avatar
9 votes
2 answers
355 views

What can be known about the formulas for energy only from the fact that it is conserved?

The question is to figure out how the energy can be derived knowing just one thing: There is a quantity called Energy that is conserved over time. The goal is to get an equation that somehow ...
Greg's user avatar
  • 1,760
6 votes
1 answer
2k views

What is the correct expression for the magnetic energy density inside matter?

I'll use a magnetized sphere as an example, of radius $R$, with a magnetization density $\vec{M}$. The magnetic moment of the sphere is $\vec{\mu} = \vec{M} \, V$. The magnetic field inside and ...
Cham's user avatar
  • 7,592
5 votes
13 answers
4k views

Energy transfer during perfectly elastic collision between bodies of same mass

My question is similar to this one but it is for sure not a duplicate of it. I basically want to see the same scenario in terms of energy transfer. What I know for sure is that bodies under collision ...
Ankit's user avatar
  • 8,220
4 votes
3 answers
5k views

Where is the potential energy due to internal interactions in total energy?

In thermodynamics the total energy of a system consists of kinetic energy of motion of the system as a whole, potential energy of the system as a whole due to external force fields, and energy ...
Wildcat's user avatar
  • 1,810
4 votes
2 answers
9k views

Can magnitude be negative?

My teacher told that magnitude is the positive value of that quantity or the modulus of that quantity. he also told that vector quantities have both magnitude and direction and scalar quantities have ...
Awesome boy's user avatar
4 votes
7 answers
6k views

Why does positive work done by internal conservative forces $\implies$ decrease of potential energy?

Potential energy can be thought as the amount of work that the force can potentially do on the point because of its position. $$W=-\Delta U=U_{initial}-U_{final}$$ A positive work done by a force ...
Sørën's user avatar
  • 2,617
4 votes
3 answers
534 views

Energy contributions of Hamiltonian density

In Lancaster and Blundell, Quantum Field Theory for the Gifted Amateur, p.99, the Hamiltonian density is \begin{equation} \mathcal{H}=\frac{1}{2}[\partial_0\phi(x)]^2+\frac{1}{2}[\nabla\phi(x)]^2+\...
Orient's user avatar
  • 497
3 votes
2 answers
130 views

Does electron-proton interaction and electron-electron interaction in an atom gives rise to a microscopic potential energy?

When studying thermodynamics we come across a property of a system called internal energy, which is the sum of all energies possessed by the system at the microscopic level. Internal energy has two ...
Harshit Rajput's user avatar

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