All Questions
Tagged with homework-and-exercises potential-energy
395
questions
0
votes
2
answers
156
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Energy stored in a Capacitor with dielectric [closed]
We have a parallel plate capicitor with capacitance C ($ C= \epsilon°A/d $) when no dielectric is inside it.
The charge on it is Q(+Q on left and -Q on right).
Now a dielectric slab of dielecteic ...
2
votes
2
answers
128
views
How to show that interaction potential depends only on separation of particles in system with position translation symmetry?
System
2 particles with mass moving in one spatial dimension $x$. Positions of particles are $x_1$ and $x_2$ respectively and they are only acted on by a conservative interaction force corresponding ...
- 23
0
votes
1
answer
227
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Electrostatic Potential, Potential Energy, Method of Images [closed]
I am a beginner in problem solving in the field of electrostatics. Well equipped with basic strategies and use of gauss' law. I wanted to analyze the situation below and couldn't wrap my head around (...
- 13
0
votes
1
answer
112
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Potential Energy of a Lagrangian System Involving a Mass and Spring [closed]
If you were to calculate the potential energy term of the Lagrangian for this system, would there be an mg term included, or would it be unnecessary as the change in potential energy of the mass would ...
- 3
1
vote
1
answer
824
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Work done for conservative forces is path independent Proof
So I’m looking at the proof for work that is path independent.
There is a line were the integral
Partial derivative V dr from r1 to r2 becomes
Partial derivative V r’ dt from t1 to t2
I’m a bit ...
0
votes
0
answers
162
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Hooke's law and elastic potential energy [duplicate]
A mass $m$ is attached to a vertical spring of elastic constant $K$ and length $L$. The spring is supposed to be of negligible mass. Due to the attached mass $m$ the spring reaches a new ...
0
votes
0
answers
40
views
Motion near the local maximum of potential energy
Particle is moving along the $x$ axis in the field with potential energy $U(x)$. $U(x) $has local maximum at $x=0$, and the total energy of particle is equal to $E=U(0)$.
I'm supposed to find how the ...
- 101
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1
answer
263
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Taylor Example 4.8. Is my reasoning sound? [closed]
This problem has been giving me all sorts of fits. For one, Taylor states that because the frictional force and normal force are forces of constraint, they produce no work. I'm trying to figure out ...
0
votes
1
answer
129
views
Why have we assume that the there should be no acceleration in deriving the Electrostatic potential energy
In the NCERT textbook grade 12, it is mentioned before deriving the work done in moving a charge $q$ from point $R$ to $P$ in presence of an electric field at Origin, $O$ by charge $Q$
Two remarks ...
- 753
1
vote
1
answer
962
views
Cylinder gravitational potential
I have a question about infinite cylidner. I wanted to calculate a gravitational potential that it creates, but I've stumbled across some difficulties.
From Gauss's Law we know, that force on an ...
- 11
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votes
2
answers
451
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Gravitational potential in a system of two particles
Suppose two particles with masses $m_1$ and $m_2$ are interacting via a central force. Lets work in the center-of-mass frame, and let $r$ be the distance from the masses to the center of mass which ...
- 273
0
votes
1
answer
148
views
Particle in a cylinder with a spring, sign convention in potential energy (Lagrangian multipliers)
I'm trying to get the force of constraint. The problem I have is when defying the sign of the potential energy using cylindrical coordinates $(\rho,\phi,z)$, what I have is:
$$
V=mgy-\frac{1}{2}k\left(...
- 7
0
votes
1
answer
239
views
Potential energy of two point charges of opposite sign (exercise)
I'm trying to do this exercise, but I don't understand how the textbook does it:
I don't understand, how they get a positive $27V$ and a got a few more doubts:
First thing, you can only measure ...
- 299
1
vote
1
answer
387
views
Why do we evaluate the gravitational potential energy relative to the middle of the rod?
Here is the diagram for the problem and the question is asking me to find the angular velocity of the rod when it is completely vertical. I used the conservation of energy but I was wondering why I ...
- 83
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votes
1
answer
38
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Change in electric potential energy [closed]
I am trying to find the velocity of a charged particle $+q$ as it moves away from a charged shell of charge $+Q$ to a distance of $2R$. I know I need to find the change in electric potential energy ...
- 131