All Questions
Tagged with homework-and-exercises potential-energy
395
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Elastic Potential Energy Of Elastic Wire: Two contradictory methods [closed]
Suppose a wire of length $L$, cross sectional area $A$, density $\rho$
and Young's Modulus $Y$ is suspended at one of its ends from a
ceiling, then find its total elastic potential energy due to its ...
- 117
4
votes
1
answer
772
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Energy electrostatic of a charged sphere
I am reading the Feynman books.
In 8.1, we have shown that the energy of a charged sphere of radius $a$ is
$$U = \frac{4\pi\rho^2a^5}{15\epsilon_0}.$$
I tried to get this result using the following ...
- 145
1
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1
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639
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Textbook question on calculation of potential difference between two points
My textbook has the following question
What is the potential difference between two points that are 50cm and 80cm respectively from a point charge of 2uC?
Unfortunately, the textbook has not taught ...
- 135
0
votes
1
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167
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Binding energy for a uniform sphere bound by a Yukawa potential rather than an inverse-square-law potential?
The binding energy of a uniform sphere that interacts through a force that follows the inverse square law is proportional to $a\frac{C^2}{R}$, where $C$ is whatever charge determines the strength of ...
- 1,405
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3
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A rolling stone on a rollercoaster
A ball rolls from point $A$ ($v_0 = 0 \; m / s$) to the right along a friction-less path. We can then calculate the speed of the ball at the points $B$ and $C$ using the law of conservation of ...
- 45
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280
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Configuration corresponding to lowest potential energy [closed]
Figure shows a small magnetised needle P placed at a point O. The arrow shows the direction of its magnetic moment. The other arrows show different positions (and orientations of the magnetic moment) ...
- 33
0
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1
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55
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Functional force in raising a block upright [closed]
Here $5$ blocks of equal dimensions are placed one on another in two ways:
The $1^{st}$ way is by placing one upon another individually and the $2^{nd}$ is done by considering the $5$ blocks as one ...
- 1,179
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266
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Finding energy of a rubber band
I'm solving a thermodynamics exercise and at one point I'm asked to find the energy if a rubber band. The rubber band has temperaturte $T$ lenght $L$ and tension $J$. I'm given the following ...
- 185
-1
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1
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833
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Find Potential energy of a hanging chain
A chain of Length L is fixed at one end to a point and the rest of the chain is hanging such that the other end of the chain just touches the ground. Find the potential energy of the chain given its ...
0
votes
1
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380
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Gravitational Potential Energy Lab Confusion
I had a lab that tested the dependence of gravitational potential energy on its position and the goal out of each exercise was to see if kinetic energy equaled potential energy. A cart was on a flat ...
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1
answer
34
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Bar released from upright position rotates about a lower hinge before being caught by a steel cable, how to calculate the tension on the cable? [closed]
I wish to check the safety factor of a steel cable that I've designed to catch a heavy bar that rotates freely due to the gravitational force acting on it.
From the upright position, I'm assuming that ...
- 11
3
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1
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537
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Doubt in the expression of Lagrangian of a system [duplicate]
There is a problem given in Goldstein's Classical Mechanics Chapter-1 as
20. A particle of mass $\,m\,$ moves in one dimension such that it has the Lagrangian
\begin{equation}
L\boldsymbol{=}\...
- 436
0
votes
1
answer
86
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Is the product between proportionality constant and vector defined?
$$
\delta {U} = - \int F \cdot ds
= -k \int s \cdot ds
= -1/2 ks^2 \tag{i}$$
In ($i$) is there is a dot product between spring constant $k$ and deviation $s$?
Correct me if I am ...
1
vote
1
answer
619
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Redistribution of charge spherical capacitor
In a spherical capacitor, we have two concentric spherical shells, the inner one carrying a charge $Q$ and the outer one carrying charge $-Q$. If the inner shell is displaced from the center without ...
- 55
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178
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Goldstein equation 1.33
I am trying to read from Goldstein for self-study but I am stuck on equation 1.33. Let me restate some of the lines from Goldstein (with some modification):
If $\textbf{F}_{ij}$ (internal force, ...
- 101