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0 votes
1 answer
98 views

Triple integral gravitational potential between point and sphere [closed]

Problem for self-study: Gravitational potential between a point $\mathbf a$ and a uniform sphere, leaving out gravitational and density constants $$ V(\mathbf{a})=\int\int\int\dfrac{1}{\vert\mathbf a -...
user34909's user avatar
1 vote
1 answer
130 views

Finding velocity $v$ and position $r$, given a time $t$ under the acceleration of a gravitational force [closed]

I was messing with the maths, when I tried to find the velocity as a function of time, $v(t)$, and the position, also, as a function of time, $r(t)$ under the gravity force. $$ m \ddot{r} = -G \frac{...
Álvaro Rodrigo's user avatar
0 votes
3 answers
147 views

The force of gravity between a shperical shell and a particle

I am trying to understand the proof of why the force acting on a spherical shell and a particle is $$\frac{GMm}{r^2}$$ Where M is the mass of the sphere and m is the mass of the particle. I am looking ...
Freud's user avatar
  • 5
-1 votes
1 answer
356 views

Integration and average in physics? [closed]

Many applications of physics theory involve computations of integrals. Examples are voltage, force due to liquid pressure, surfaces... In some cases, when there is linear dependence between two ...
Shootforthemoon's user avatar
4 votes
1 answer
3k views

Newton's original proof of gravitation for non-point-mass objects

Suppose we have two bodies, one very large (Earth), and one very small (a cannon ball). If the cannon ball is some distance away from the Earth, to find out the force produced on the cannot ball, we ...
Phonon's user avatar
  • 143