All Questions
Tagged with newtonian-gravity integration
45
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Integrating acceleration + escape velocity over distance [closed]
I am not sure how to title this question so apologies if it's inaccurate.
If I throw an object at thrice the escape velocity of earth, what would be its velocity very far away from earth, (at a ...
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Confusions on The Gravitational Energy of a Point P in a Cube
I have been working, quite tirelessly, to try and find an answer to a question that has been bothering me for some time now.
I have been working over some proofs, in the Newtonian Mechanics world, to ...
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Describing force accumulation trend of an infinite volume with evenly distributed radiative sources
I am looking for confirmation if I've built my equation properly.
My goal is to describe the change in force over time at a given point if evenly distributed radiators (in-phase or cumulative energy/...
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Problem with Deriving work done by gravitational force and gravitational potential energy from the first principles
Suppose we have a system with Two point masses of mass $M$ and mass $m$. And we want to derive Work done. Lets say M is fixed or $M>>m$. Initially assume mass m is at rest at a distance of $a$ ...
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(Not a flat-earther) The mathematics of an infinite flat earth using gauss' law for gravity
On the flat earth website, they prove that the gravitational pull of an infinite flat earth is finite. Is their proof correct?. I'm not that good at physics and can't determine if they're correct ...
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How to calculate the potential energy of a large object as an integral?
Usually when calculating the potential energy of a body it is sufficient to take its center of gravity’s distance from the ground in order to get a result according to the formula $E_p=g*h*M$. But the ...
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Question on Gravity (Ring and Sphere) [closed]
Find the gravitational force of attraction between the ring and sphere as shown in the diagram, where the plane of the ring is perpendicular to the line joining the centres. If $R\sqrt8$ is the ...
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What is the gravitational field intensity of a uniformly distributed mass content in Newtonian gravity?
In an infinite universe composed of single point masses which can be simplified as a uniformly distributed mass density, what is the equation for the gravitational field intensity in Newtonian gravity?...
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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
$$
V(\mathbf{a})=\int\int\int\dfrac{1}{\vert\mathbf a -...
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How do you integrate a gravitational or electric field from $r=0$ to $r=\infty$?
I'm interested in determining the total gravitational and electric field of a charged particle. At reasonable distances the value of each field at a point is given by:
$$g = G\frac{m}{r^2}$$
$$E = \...
- 57
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2
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Direct calculation of the gravitational potential inside a hollow sphere
I calculated the gravitational potential inside a massive sphere with constant density and got the result:
$$\Phi = -2\pi G\rho R^2 + \frac{2}{3}\pi G\rho R_p^2$$
Where $R$ is the radius of the sphere ...
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How do you integrate by parts when you have a triple integral?
I'm studying how particles of equal mass behave in a spherical cluster held intact by gravity. I will assume that the mass density $\rho(R)$ of the cluster is a function of the magnitude of the ...
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How to derive gravitational potential from Navier-Stokes equation?
Starting from the Navier-Stokes equation I want to be able to derive the gravitational potential using the Poisson equation but am unsure how to do it in spherical polar coordinates.
This is what I ...
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Gravitational potential of a disc [closed]
The question says
Find the potential at the center of a disc whose surface area density varies as $$σ = σ_0(1+\cosθ)r $$ where theta is the angle made by the radius with the horizontal and $r$ is the ...
user318937
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Calculating the gravitational field on a point mass at central axis of a uniform ring [closed]
Consider a uniform ring of mass $M$ and radius $r$ and centre $O$. Let $P$ be a point on the central axis of the given ring at a distance $a$ from the centre of the ring (line passing through the ...
user297948