What is Gravitation: Definition and 913 Discussions

Gravity (from Latin gravitas 'weight'), or gravitation, is a natural phenomenon by which all things with mass or energy—including planets, stars, galaxies, and even light—are attracted to (or gravitate toward) one another. On Earth, gravity gives weight to physical objects, and the Moon's gravity causes the ocean tides. The gravitational attraction of the original gaseous matter present in the Universe caused it to begin coalescing and forming stars and caused the stars to group together into galaxies, so gravity is responsible for many of the large-scale structures in the Universe. Gravity has an infinite range, although its effects become weaker as objects get further away.
Gravity is most accurately described by the general theory of relativity (proposed by Albert Einstein in 1915), which describes gravity not as a force, but as a consequence of masses moving along geodesic lines in a curved spacetime caused by the uneven distribution of mass. The most extreme example of this curvature of spacetime is a black hole, from which nothing—not even light—can escape once past the black hole's event horizon. However, for most applications, gravity is well approximated by Newton's law of universal gravitation, which describes gravity as a force causing any two bodies to be attracted toward each other, with magnitude proportional to the product of their masses and inversely proportional to the square of the distance between them.
Gravity is the weakest of the four fundamental interactions of physics, approximately 1038 times weaker than the strong interaction, 1036 times weaker than the electromagnetic force and 1029 times weaker than the weak interaction. As a consequence, it has no significant influence at the level of subatomic particles. In contrast, it is the dominant interaction at the macroscopic scale, and is the cause of the formation, shape and trajectory (orbit) of astronomical bodies.
Current models of particle physics imply that the earliest instance of gravity in the Universe, possibly in the form of quantum gravity, supergravity or a gravitational singularity, along with ordinary space and time, developed during the Planck epoch (up to 10−43 seconds after the birth of the Universe), possibly from a primeval state, such as a false vacuum, quantum vacuum or virtual particle, in a currently unknown manner. Attempts to develop a theory of gravity consistent with quantum mechanics, a quantum gravity theory, which would allow gravity to be united in a common mathematical framework (a theory of everything) with the other three fundamental interactions of physics, are a current area of research.

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  1. Hamiltonian

    B A thought experiment about the Sun vanishing

    suppose suddenly the sun disappears at a time t. at this arbitrary time t, the Earth should fling off tangentially to the point in its orbit at time t as there is no centripetal force keeping it in orbit. we know light takes about 8 minutes to reach the earth. so will humans on Earth experience...
  2. tanaygupta2000

    Time taken to reach the centre

    The value of acceleration due to gravity at a depth 'd' inside the Earth is given by- g' = g(1 - d/R) which can also be written as g' = g(x/R) from the diagram so that x'' = (w2)x where w2 = g/R is the angular frequency Hence the time period T is given by T = 2π sqrt(R/g) but the question...
  3. TopsyKrate

    Gravitation: Object moving from infinity

    Express the condition of 𝜎 where the celestial body B collides against the celestial body ASo this is the original figure of the problem. This is my attempt at a solution Since I need to find σ, I have assumed sigma to be an multiple of the radius ## R ##. So, let ## \sigma = \lambda R ##...
  4. G

    Determining the power of frictional force

    I can say that the frictional force always against the rolling sphere and the velocity is increasing for the ball. So The dot product F.v keeps on getting more and more negative, so how can the Pf remain constant? Well the velocity increases along the incline and the force of gravity is down...
  5. A

    Physics problems with Newton's law of gravitation

    I do not know how to do this because in order to find the force of gravity it seemed to me i need to know the mass of the planet and vice versa, and for the 1st exercice i do not know whether the planet fills the astronaut's field of view. If it does in understand that i need to use trigonometry...
  6. cianfa72

    I Gravitational time dilatation and curved spacetime - follow up

    Hi, starting from this very interesting thread I'm still a bit confused about the conclusions. The main point, as far as I can understand, is all about conditions for a quadrilateral to be considered a parallelogram. My first basic doubt is: the concept of 'parallel' applies just to geodesic...
  7. MathematicalPhysicist

    Relativity Errata for Gravitation and Cosmology book by Steven Weinberg

    Does someone know of an official or unofficial errata for the above book of Weinberg?
  8. Petronius

    Determine the mass of the planet using Newton’s Law of Universal Gravitation

    Hello, and thank you again to anyone who can confirm if I have the right answer or who can give me some suggestions. This question felt like a bit of a surprise because we have not yet covered one where the mass of a planet was missing. Thus, my confidence in my work is low. Part b felt like a...
  9. A

    Find the attractive force of gravity between two objects

    Homework Statement: Henry Cavendish succeeded in measuring the value of the constant "G" way back in the late 1700s. His method was to put two known masses at a known distance and measure the attractive force between them; then he could use Newton's Law of Universal Gravitation to find "G"...
  10. A

    Gravitation attraction of a mountain

    I tried to solve for mass of the mountain by: (mass of ball) (9.8m/s^2)= G(mass of ball)(mass of mountain)/ (15000m)^2 The mass of the ball cancels out leaving with mass of mountain=33.04 * 10^(18) kg.
  11. S

    Gravitation (planetary motion)

    Homework Statement: The particle is moving in circular orbit such a way that the net force (F) is always towards the point p (point p is on the circumference of circle). Find the variation of force F with respect to r. i.e find the value of n in the expression F=kr^n Homework Equations: F=kr^n...
  12. avnl

    A Calculating the propagator of a Spin-2 field

    Nieuwenhuizen uses a method for calculating the propagator by decomposing the field ## h_{\mu\nu}, ## first into symmetric part ## \varphi_{\mu\nu} ## and antisymmetric part ## \psi_{\mu\nu} ##, and then by a spin decomposition using projector operators. Using this he writes the dynamical...
  13. EEristavi

    Universal Gravitation - calculating orbital period of satellite

    I didn't use Kepler's 3rd law and this may be the reason I have a wrong answer. However, I want to know: where I make the mistake. ## ma = \frac {G M m} {R^2}## ## R = (\frac {G M} a)^{1/2}## ##a = \frac {v^2} R## ##V^2 = a R = a (\frac {G M} a)^{1/2} = (G a M)^{1/2}## ##V = (G a M)^{1/4}##...
  14. caters

    What is the period of this binary orbit?

    Okay, so let's simplify things and look at the ideal case, where the 2 masses are the same. Well, this gives us a sine wave pattern to the orbital velocity. Consequently, the acceleration would follow a cosine wave since the derivative of velocity is acceleration and the derivative of sine is...
  15. Benjamin_harsh

    Why air resistance has less force than gravitation force in free fall?

    Why air resistance has less force than gravitation force in free fall? If Egg is fall from a nest of tree, while falling, it has less magnitude of air resistance than gravitation force. Where net force is not equal to zero.
  16. H

    Relating the universal law of gravitation and Newton's second law

    First, I started with F_a = m_aa_a=G \frac{m_am_b}{r^2} and F_b = m_ba_b=G \frac{m_am_b}{r^2} . Solving for their respective accelerations, I got a_a=G \frac{m_b}{r^2} = 100G and a_b=G \frac{m_a}{r^2} = 100G, meaning that the initial acceleration of the two point particles are each 100G ...
  17. B

    I Issue With Derivation of Gravitational Time Dilation

    Why do we use the equation ##\frac {1}{2}mv^2 = \frac {GmM}{r}## to derive potential velocity, and then put that in the Lorentz factor in order to derive gravitational time dilation? Shouldn't we be using the relativistic definition of kinetic energy -> ##mc^2(\gamma - 1)## to derive the...
  18. D

    Does dropping a Jupiter from the Pisa tower still accelerate at g = 9.81?

    im confused about this thing, because they said Earth's acceleration due to gravity is independent from the mass of the thing dropped
  19. R

    Space elevator minimum initial speed

    Homework Statement In the far future, humans have built a space elevator as a cheap means of access to space. However before that could be done, a few basic principles had to be worked out. . . a) What is the minimum initial speed (in an Earth-centered inertial reference frame) needed for an...
  20. R

    Impossible hydrostatic scenario

    Homework Statement There is an infnite high hydrostatic head in an infite high tank on the surface of earth. How big is the pressure p(r) in tank at a distance r. Ignore the rotation of the Earth and assume the water stays liquid. ( So basically ignore it's an impossible scenario )...
  21. P

    Problem w/ Gravitation, Orbits

    Homework Statement Given in the picture attached below[/B]Homework Equations ? The Attempt at a Solution I had no idea how to tackle this problem.[/B]
  22. MichPod

    I Why Not Develop Relativistic Gravitational Theory Analogy to Electromagnetism?

    How can it be easily shown that it's a bad idea to develop relativistic gravitational theory in full analogy with electromagnetism? I.e. why not to introduce 4-potential for gravitation in analogy with 4-potential in covariant form of Maxwell equations and get something fully analogous to...
  23. Abdu Ewais

    I Problem with gravitation field perpendicular vector.

    since it is known that ##\vec{A_\perp} = -{mG \over R^2}## why did the professor write it as ##\vec{A_\perp} = {- R G \rho \over 3}## for perfect sphere with perfect mass distribution ? Shouldn't it be ##\vec{A_\perp} = -{4 \over 3} \pi R G \rho##? I need help thanks.
  24. P

    I How do we calculate galactic gravitation?

    <Moderator's note: Several threads merged and moved to cosmology.> So I’m wondering about gravity. I was under the impression that gravity was created due to the curvature of 4d spacetime and whatnot. Can someone explain to me what gravitons are in relation to that? Are the gravitons making...
  25. E

    Why does mass/energy have inertia?

    I have been googling this topic for some time, but I still don't know if this is still an unsolved mystery of physics (it's just so) or if there is a deeper underlying theory. I get the idea that mass/energy distorts spacetime, justified by thought experiments with moving objects and photons...
  26. AntSC

    Modifying Newton's Kinematic Equations for High Altitude

    I recently watched a video on youtube where a guy fires a 50 cal. rifle straight up into the air and measures the time of flight at about 100s. It got me thinking about what altitude the round reached. So I used the kinematics equations and obtained a value of 12.25km. Amazing, but I wondered...
  27. J

    Gravitation & Orbital Mechanics: Is One Method More Correct Than the Other?

    I have been going through problems in my textbook and have a question. The chapter is on gravitation and orbital mechanics. When answering the problems I seem to head towards different methods than what the book prescribes. My answers, primarily using known orbital equations, are close, but not...
  28. Urmi

    Gravitation sum related to Centripetal Acceleration

    Homework Statement The distance between the centres of the Earth and the moon is 60 times the radius of the earth. Calculate the centripetal acceleration of the moon. Acceleration due to gravity on the Earth's surface is 10m/s. Homework Equations Centripetal acceleration= v^2/R Orbital...
  29. Pratik Saha

    Gravitational Potential Reference Point

    Can someone please show that calculation of gravitational potential energy at a point R+h from the centre of the Earth by choosing the centre of the Earth to be at zero potential. Here R is the radius of the Earth and h is not very small wrt to R
  30. T

    I Dropped objects hitting the ground at the same time?

    okay, so I’ve had this random thought. We have all been told that objects fall to the ground at the same speed, even if they have different masses. While it’s true that any two objects, regardless of mass, will accelerate towards Earth at the same speed, that doesn’t mean the Earth is...
  31. J

    Is the Law of Areas Still Applicable with a Changed Law of Gravitation?

    Homework Statement Homework EquationsThe Attempt at a Solution I think if the law of gravitation changes then the law of areas should still hold .Law of areas is nothing but law of conservation of angular momentum . Since the changed law of gravitation is still central the law of areas...
  32. isukatphysics69

    Gravitation between the Moon and the Earth: physics project

    Homework Statement Homework Equations f = ma m1 = mass of moon m2 = mass of earth The Attempt at a Solution Ok this is crunch time here and i am NOT Kobe Bryant I have chosen gravitation between the moon and Earth for this project. I will start with the net force on the moon as ∑FSystem =...
  33. T

    Integrating Gravitational Attraction in n Dimensions

    Homework Statement I'm working on a generalization of gravitation to n dimensions. I'm trying to compute gravitational attraction experienced by a point mass y due to a uniform mass distribution throughout a ball of radius a -- B(0, a). Homework Equations 3. The Attempt at a Solution [/B]...
  34. N

    B Gravitation Mass & Proportional Gravity: Exploring Attraction Between Objects

    For all the theorists on gravitation, I would beg to ask a question on mass and it's proportional effect with gravity. IE :Greatest mass = Heaviest object. Simplistically, Why do objects with the highest mass become attracted to the nearest highest mass? Bowling ball falls to Earth via...
  35. J

    Deriving gravitational potential energy -- mistake

    Homework Statement Hi I'm attempting to derive the gravitational potential energy of a point mass (##m##) that's moving from infinity to a point r' inside a gravitational field produced by a another mass ##M##. For simplicity I treated it as a one dimensional case. The problem I get is that the...
  36. A

    Binary Stellar System: 15M⊙ & 10M⊙ Revisited

    Homework Statement A binary stellar system is made of one star with ##M_1=15{M}_\odot## and a second star with ##M_2=10{M}_\odot## revolving around circular orbits at a relative distance of ##d=0.001pc##. At some point ##M_1## explodes in a supernovae leaving a neutron star of mass...
  37. E

    How do write the force diagram for the following situation?

    Homework Statement We have a crate sitting on a scale that is on the surface of the Earth. We want to come up with the value of the acceleration due to gravity, ## g ##, when we take into consideration the rotation of the Earth. Homework Equations In the book, here's how they go about this...
  38. Osvaldo

    B Newton's Law of Gravitation: Balancing Centrifugal Force & Internal Pressure

    How is the centrifugal force in an orbiting planet or star, balanced if according to Einstein there is not such gravity force and is only space time curvature. Also, how come in order to determine internal pressure of a planet or star, the force acting near the center is calculated using the...
  39. A

    Binary system of stars (##\alpha## - centauri)

    Homework Statement ##\alpha##-Centuary is in a binary visual system with another star. Their separation, from their CM, is 8.0'' and 9.7''. The distance from the Earth is 1.31pc. Their revolution period around the CM is 80.1 years. I have to find masses and luminosities for each star. Homework...
  40. J

    Gravitation - gravity force, centripetal aceleration, work

    1Problem: Two equal satellite, A and B, of a planet of mass M, describe circular trajectories where the radious are 0,5r and r. We can afirm that: A- The intensity of gravitical force acting on B is half of the gravitical force acting on A; B- The value of centripetal aceleration of A is one...
  41. NotKepler

    Circular Motion and Gravitation

    Homework Statement What is the distance from the Earth's center to a point outside the Earth where the gravitational acceleration duo to Earth is 1/10 of its value at the Earth's surface? Homework Equations F = Gm1m2/r2 F = m1 (v2/r) Mass of Earth = 5.98x1024 G = 6.67x10-11 The Attempt at a...
  42. Humbleness

    Calculating mass of a planet (Law of Universal Gravitation)

    Homework Statement You are on a deep space mission to search for Earth-like planets. Your crew locates a possible planet and with scanners finds the radius to be 7.5 x 106 m. A team lands on the surface. There, they hang a 1.0 kg mass from a spring scale. It reads 8.5 N. Determine the mass of...
  43. Eric Walker

    B Exploring Electron-Positron Annihilation & Gravitation

    I have been trying to understand the implications of a thought experiment and am interested to know either where it's going off course or what those implications might be. Through some reading of earlier threads on this forum I have verified my starting hunch that photons bend spacetime despite...
  44. Physics345

    Universal Gravitation problem, help with final statement.

    Homework Statement earth has a mass of 5.98x10^24 kg and the moon has a mass of 7.35x10^22 kg. The distance from the centre of the moon to the centre of the Earth is 3.84x10^8 m. A rocket with a total mass of 1200 kg is 3.0x10^8 m from the centre of the Earth and directly in between Earth and...
  45. sergiokapone

    I Stress–energy pseudotensor of gravitation field for DE

    Suppose we have Einstein equation for *Universe free of matter* in form \begin{equation} G_{ik} = \chi T_{ik}, \end{equation} where the cosmological constant $\Lambda$ is transferred to the RHS of equation and written in the form of stress–energy tensor of Dark Energy...
  46. Glurth

    Can a Self-Gravitating Gas Ball Simulate Stellar Formation Dynamics?

    I have a simulation I'm trying out (for fun). A self-gravitating ball of gas, in deep space. (The sim uses a fixed-time-step for each iteration.) I'd like to use Boyles Ideal gas law, the force of gravity, and energy as internal heat. (I don't want to touch enthalpy unless I don't realize...
  47. Souhardya Nandi

    I Is Gravitation Responsible for the Stability of the Universe?

    In the universe, there are several celestial bodies, all of which attract each other. Then why is it so that they do not collapse towards each other. Is it a consequence of expansion. If so, will a change in acceleration of expansion have any effect on it.And can then this be considered a...
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