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2 votes
0 answers
50 views

Energy of a spherical shell

System: spherical shell with surface density. Objective: calculate potential energy. I found energy through potential. Next, I found the formula for energy through the field, which gives two ...
neo's user avatar
  • 21
0 votes
2 answers
3k views

Gravitational potential energy inside of a solid sphere [duplicate]

I am self-studying classical mechanics. I came across a problem which required me to calculate the gravitational potential inside of a sphere. I found in one of my textbooks that the potential energy ...
ty morr's user avatar
  • 23
4 votes
2 answers
7k views

Why is the gravitational potential inside a hollow sphere same as that of the gravitational potential on the surface of the hollow sphere? [duplicate]

Gravitational potential inside a hollow sphere is given by $$V(r)=\frac{-Gm}{R}$$ Why is it the same as the gravitational potential on the surface of the hollow sphere, which is given by $\frac{-Gm}{R}...
Temp er's user avatar
  • 43
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 ...
SamuraiYam's user avatar