The Newtonian model of gravity in which the force between two objects is given by GMm/r^2.

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98 views

Is it possible to build planet-sized non-spherical structures?

Beyond certain size and density the celestial objects tend to admit a spherical size. I wonder if is there a fundamental mass, density or specific strength related number which when surpassed a non-...
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1answer
180 views

How to compute Gravitational potential energy

Find the potential energy of a system of four particles placed at the vertices of a square of side $\ell$. Also obtain the potential at the centre of the square. In the question above can ...
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1answer
178 views

Why does mass not matter on how quickly an object falls? [duplicate]

I've seen all the mathematical proofs and physics demonstrations in vacuums. However, for example, if a hammer falls to the Earth it falls very quickly. But, it can be interpreted another way. The ...
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2answers
55 views

Why does using the modified Kepler's 3rd law and using the gravitational parameter yields different results?

$p^2=\frac{2\pi a^3}{\mu}$ ($p$ is the orbital period in seconds) gives slightly different result from $p^2=\frac{4\pi^2}{GM_1}a^3$.
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1answer
69 views

Units in gravitational N-body simulations

I use a code in Python to simulate a binary system interacting through gravity. You can find it here; The code works fine. I am however having problems with the units of length and velocity. I ...
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3answers
2k views

Are we increasing the gravity of Earth with our population?

I have these questions related to my question title: Do we, other species and things have our own gravity? How much Gs a human have? Are we effecting Earth, nearby moons and planets with our gravity?...
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2answers
113 views

Moon Gravity Vs Earth Gravity Pull

Sometime in the near future, I developed an experimental superweapon capable of blowing up the entire moon, I use it and the blast breaks the moon into multiple pieces of varying sizes. So now we have ...
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1answer
35 views

Will the object spin as the earth spins?

If an object is designed to levitate a few kilometers above the ground, and the point directly below the object on earth is called $A$, as time passes and the earth rotates about its axis, will the ...
2
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3answers
304 views

Why are triangles drawn like so when working with gravity on an inclined plane?

This is my first year as a physics student, and I've never learned about vectors past a basic level, so this is confusing me. When we have gravity on an inclined plane, we separate it into two ...
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1answer
44 views

Solve the inverse function of the solution to a varying acceleration problem ODE

Suppose there are two positive charges $A$ and $B$, both with equal mass $m$ and the same charge quantity $q$. The initial distance between $AB$ is $R$; and the initial velocity of $B$ relatively to $...
3
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2answers
476 views

Can the electric or gravitational potential be discontinuous? Why?

I was solving the Laplace's equation for the charger thin spherical shell and noticed that the field is discontinuous at the surface (inside it is zero and outside it is proportional to $1/r^2$) but ...
1
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3answers
139 views

Why doesn't the volume integral vanish?

I am reading Galactic Dynamics by Binney and Termaine, and I'm struggling with the following passage. According to Poisson's equation the resulting change in potential $\delta\Phi(\mathbf x)$ ...
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0answers
16 views

Gravitation Field Lines (amount) and Size of a body

Let's say there were two planets, planet A, and planet B. If they both had the same mass, but one was twice as massive as the other planet, how would the field lines of the two planets differ? I know ...
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2answers
117 views

Calculate the Earth’s velocity in its orbit (assumed to be circular) around the Sun [closed]

Data: GM of the Sun: $\text{GM} = 1.327 \times 10^{20} \;\mathrm{m^3 s^{-2}}$ Radius of the Earth’s orbit: $r_{Earth} = 1.496 \times 10^{11} \;\mathrm{m}$ Orbital period of a planet in seconds: $T = ...
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2answers
846 views

How can we recover the Newtonian gravitational potential from the metric of general relativity?

The Newtonian description of gravity can be formulated in terms of a potential function $\phi$ whose partial derivatives give the acceleration: $$\frac{d^2\vec{x}}{dt^2}=\vec{g}=-\vec{\nabla}\phi(x)=\...
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2answers
60 views

Gravitational potential and intensity

Why don't we calculate gravitational field/intensity of a point due to a disc directly? We first calculate the potential then calculate the field by differentiating with respect to $dr$. Why don't we ...
3
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2answers
64 views

Liquid seperation in space

We know if we take immiscible liquids of different densities then they form different layers on earth. But when we take them to outer space, they form tiny droplets which are energetically most ...
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5answers
1k views

Zero gravity means zero friction?

The frictional force acting on a body placed on a horizontal plane is $F=\mu{R}$ where $R$ is the normal reaction and is equal to weight of a body in this case. And $\mu$ is the coefficient of ...
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2answers
50 views

Exertion of force due to spin of Earth

If Earth were to spin at a different speed would I be experiencing a different weight?
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0answers
39 views

Galileo proved wrong? [duplicate]

Galileo stated that objects dropped from the same height will hit the ground at the same time, that the rate of gravity is constant for all objects no matter the mass. But I think there is a flaw in ...
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4answers
149 views

Is cause of this equilibrium - tension or friction?

This is a very odd problem which I have. As you can see in the diagram, the string is taut. So, if there was no friction you could clearly say that tension is balancing it or if there was no tension ...
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2answers
82 views

Could one extra straw literally break a camel's back? [closed]

I thought this was better suited here than biology, as the camel is figurative; it could also be a wooden beam. My question is basically: Could adding an object of negligible weight (such as a straw) ...
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0answers
33 views

Explanation for Spiral galaxies [duplicate]

Can anyone explain to me why our galaxy is spiral and not irregular or spherical? Please be specific and if maths is required to state what you mean precisely, use it. I will understand it much better ...
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0answers
26 views

Collisions with the earth [duplicate]

The earth is traveling around the sun at around 65,000 mph. An asteroid or other large object is traveling around 35,000 mph. Depending on the direction of the impact, the object could strike head on ...
2
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1answer
55 views

Given an equation of an elliptical orbit, is it possible to find satellite´s speed at a certain point?

As the heading says: given an equation of an elliptical orbit, is it possible to find satellite´s speed at a certain point? I'm playing a bit with simulations of planets and satellites in the solar ...
1
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1answer
55 views

Gravitational PE lost v Elastic PE gained in mass - spring

If a spring has a load $m$ added to it (and so is extended by $x$), the gravitational potential energy lost by the mass will be $mgx$. The elastic potential energy gained by the spring is $\frac{1}{2}\...
3
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1answer
192 views

Inaccuracy at measuring gravity constant with Cavendish experiment

For a scientific work for school I decided to measure the gravity constant with the Cavendish experiment. I set up a structure like the one suggested on this website: http://www.school-for-champions....
3
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2answers
76 views

Multiple Definition For Gravitational Potential Energy?

This may just be a simple Misconception Question, here goes: Definition for Gravitational Potential Energy: The work done by gravity to pull an object to the ground. $E=-(\frac{GMm}{r}-\...
2
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0answers
25 views

Initial conditions for a massive objects to follow a path

Suppose I have a path, such as the one traced out by $r^2 = \cos(2\theta)$, and $n$ objects with mass $m$ at equidistant points on this path. What velocities should each object initially have in order ...
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1answer
36 views

In a Dyson shell, could centripetal force act as gravity?

In a pure Dyson shell surrounding a non-moving star, with the shell rotating around the star, could the centripetal force of the shell act in some way similar to gravity toward the interior of the ...
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3answers
303 views

Deceleration of a bullet [closed]

Taking into account gravity, air resistance, and wind velocity and direction. (And also temperature if it's actually relevant.) I know the muzzle velocity, the total distance the bullet traveled, its ...
2
votes
1answer
102 views

What is the net effect of gravity of a thin ring on a point on itself?

Consider a thin ring of mass $M$. What is the net force on any point on the ring caused by the gravity of the other points on the ring? My intuition for this problem was to find the linear mass ...
4
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2answers
625 views

Rivers that flow “uphill” due to Earth's rotation

One of the fun tidbits that gets bandied around in physics departments is that the Mississippi River actually flows away from the center of the Earth. Due to the Earth's oblateness, the source of the ...
2
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1answer
84 views

Will the Earth's rotation someday be synchronized with its revolution around the Sun?

When will the earth act like the moon with regard to one side of the moon always facing the earth. Will the earth one day get locked in a rotational orbit that has one side of the planet facing the ...
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1answer
196 views

How to calculate escape velocity and orbital velocity for a cubular planet?

Given a planet that is a cube, how would one calculate the escape velocity and the orbital velocity? For a circular planet with an even distribution of mass (aka center of mass=center of volume) the ...
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0answers
58 views

Why is gravity high at poles but lower inside the surface of Earth, as compared to $g$ on surface? [duplicate]

My high-school physics teacher recently displayed some formulae stating at when we dig deeper the gravity pull is lower but at poles (the flattened part) it is appreciably higher. Now, if we consider ...
3
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1answer
208 views

Can we regard dark matter as a special fluid rather than individual particles?

If we assume that dark matter is an $N$-body system of sizeless and collisionless particles which only interact via newtonian gravity, do these huge quantity of particles manifest some collective ...
1
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1answer
100 views

What is the outward force on the Moon that makes it go in orbit rather that falling straight to the Earth? [duplicate]

So, we know that the gravity is responsible for pulling the Moon towards the Earth. But because it moves in an orbit, it makes me think that there must be a force that is causing the moon to travel in ...
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votes
1answer
570 views

Two objects at different heights, would they be traveling the same speed?

If I were to drop an object at a height of 15 feet, then another object of the same mass at 20 feet, would both objects be traveling at the same speed? What would be the speed of which they are ...
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3answers
77 views

Finding velocity from distance and gravity

Basically, I have a problem that asks: An object is launched to a height of 2 miles, what was it's initial speed and time. Now normally something like this would be fairly basic. The problem ...
0
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2answers
76 views

Do other people's mass count when measuring the attraction of the earth on me? [duplicate]

Suppose that I'm alone on a planet of $M$. From what I learned from school, the gravitation force acting on me is given by $$F=G\frac{mM}{r^2},$$ where $m$ is my mass, $r$ is the distance between me ...
2
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2answers
53 views

Does $v^2=v_0^2-2gh$ work if the positive axis is up and the initial velocity is down?

In the situation where the positive axis is up, the acceleration due to gravity is $g$, and the velocity is represented by the equation $v^2=v_0^2 - 2gh$. This works great if the initial velocity is ...
0
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1answer
67 views

Why aren't Roche limit and the difference in gravitational acceleration the same?

The definition of the Roche limit is: "The distance within which a celestial body, held together only by its own gravity, will disintegrate due to a second celestial body's tidal forces exceeding the ...
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0answers
42 views

How far inside a white dwarf Roche limit does the Earth have to be to start losing large chunks of rocks?

I have calculated that for a one solar mass white dwarf orbited by the Earth, the Roche limit is about 600,000 kilometers. I understand that any loose mass on the surface of the Earth would start ...
0
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1answer
85 views

What mistake am I making in plotting this graph of effective potential for the Earth-Moon system?

I am trying to create a graph of effective potential for the Earth-Moon system in Excel. It should result in a graph that looks like this: But this is not what I end up with. (I've made a Google ...
2
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1answer
190 views

Newton's shell theorem in 2d [closed]

I was wondering how to prove the analog of Newton's shell theorem for 2 dimensions, in which gravity obeys an inverse-linear law. Meaning: that an anywhere inside a circle, the gravitational field ...
0
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4answers
114 views

Does not the mass of those living on the Earth add on to the mass of the Earth or is it too negligible to be cared for?

Source: Earth weighs about 13,170,000,000,000,000,000,000,000 pounds (or 5,974,000,000,000,000,000,000,000 kilograms). Since Earth is too big to be placed on a scale, scientists use mathematics ...
3
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3answers
184 views

Gravitational Null Point between Earth and Moon

I need help finding the gravitational null point point between the Earth and the Moon, the point beyond which you start falling towards Moon. I am having difficulty in taking into account the orbiting ...