All Questions
Tagged with newtonian-gravity potential
123
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Gravitational potential energy definition
"Gravitational potential energy of a system of masses is defined as the negative of the work done by gravitational force in bringing the masses from infinity to that configuration" ~ the ...
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Gravitational Equipotentials
Can someone explain why the answer is B? I have flaws and inconsistencies within my knowledge.
In terms of how, it lies halfway between the two equipotential lines, so travels a distance of $r/2$, as ...
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Understanding Electric and Gravitational Potentials
I have spent a lot of time trying to understand potentials (gravitational and electrical) and I can't grasp it. I understand that it is the work in bringing a point mass (or charge) from infinity to a ...
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Interpretation of gravitational potential in 2+1D
From Gauss's law of gravity reduced to 2+1 dimensions, one can easily show that the gravitational force follows an inverse law, i.e.
$$
\mathbf{F}(\mathbf{r}) =- \frac{G m M}{|\mathbf{r}|}\hat{\mathbf{...
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How does gravitational potential relate to gravitational acceleration?
I've been wondering about what the gravitational potential V actually tells us, and how it relates to gravitational force and/or acceleration. The formula is $V = -\frac{GM}{r}$. I did some ...
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What is the gravitational potential due to two masses around one point?
Knowing that the formula for gravitational potential is the following.
$$V = -\frac{GM}{r}.$$
We take two masses in between one point let us say T. One mass is m and another 24m. Let us say that the ...
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Trying to understand gravitational force equation
I don't understand the red underlined equations but I understand gravitational force equation in simpler form. Can anyone please explain the equations?
Source
An Introduction to Celestial Mechanics by ...
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Direct calculation of the gravitational potential inside a hollow sphere
I calculated the gravitational potential inside a massive sphere with constant density and got the result:
$$\Phi = -2\pi G\rho R^2 + \frac{2}{3}\pi G\rho R_p^2$$
Where $R$ is the radius of the sphere ...
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Relation Between Gravitational Potential and Acceleration due to gravity
I have always had this question in mind. I know expression for gravitational potential is given as
$$V=-\frac{GM}{r}$$
While acceleration due to gravity is given as
$$g=\frac{GM}{r}$$
So i assume
$$V=-...
- 11
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Gravitational field strength between equipotential lines
Is the gravitational field strength between two equipotential lines the same at all distances? For example, in the image, does point P experience the same gravitational field strength as a point ...
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Infinite gravitational potential question
For this question I use Newtonian gravity only. Relativistic gravitational/kinematic effects are ignored.
It is known that the gravity surrounding a point particle of mass $M$ can be described by ...
user324471
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Calculating the gravitational potential of a plane
I'm trying to prove that the potential generated by a infinitesimally thin surface density with constant $\Sigma$ at $z = 0$ is equal to $$\Phi = 2 \pi G \Sigma |z|$$ using Poisson's equation $$\nabla^...
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Why gravitational potential away from a planet increases?
textbooks----
"potential increases towards infinity and is maximum at infinity"
But that is true only when we are seeing potential w.r.t Earth
EXPLANATION---------
So , as we know that ...
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Intuition behind gravitational potential
Gravitational potential at a point is equal to work done in bringing a unit mass from infinity to a particular point
That was the text book definition
$$V_{p} = -\frac{GM}{r}$$
If we calculate $V_p$ ...
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Analytical solution to Poisson's equation for gravity
I am studying Poisson's equation for gravity.
$$\nabla^2 \varphi = 4\pi G\rho$$
I have read that it is solved analytically using some Green's function, to give the well known formula of potential
$$ \...
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