What is Gravitation: Definition and 915 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. GiantSheeps

    How Does Position Affect Gravitational Force Between Three Objects?

    Homework Statement PART 1: Objects with masses of 125 kg and 548 kg are separated by 0.385 m. A 63.5 kg mass is placed midway between them. Find the magnitude of the net gravitational force exerted by the two larger masses on the 63.5 kg mass. The value of the universal gravitational constant...
  2. B

    Coulomb's law vs. Newton's law of gravitation?

    What would be the easiest way to describe the similarities and differences between the two laws, other than the fact that their formulas are built similarly and they use different measurements. Any input would be great; I am currently having a brain block! Coulombs Law:F=K (q1*q2)/r^2 Newtons...
  3. B

    Einstein vs Newton: Does GR Disprove Gravitation?

    If Einstein proved that light (a massless object) can be bent because of space-time. Then what happens to Newton's gravitation equation F = Gmm/r^2. Obviously this cannot apply to light, so technically this should fall completely, having both Newton's and Einsteins discovery working at the same...
  4. L

    Gravitation on an Expanded Earth

    Bodies in orbit around the Earth are, as I understand it, weightless. Suppose, then, that by some unimaginable process the Earth expanded to a radius equivalent to the orbital radius of a geostationary satellite, but retained the same mass. Does that imply that a body lying on the equator of the...
  5. akshaya

    Newton's gravitational formula wrong?

    Hi, According to Newton, F= (GM¹M₂)/r² Einstein proved that light bends around massive bodies, due to gravity. (because space bends around these bodies) Mass of light = zero, but its being affected by gravity. So, is Newton's equation not universal?
  6. S

    Gravitational force between objects

    1. The problem statement, all variables and given/known dat Three solid spheres of lead, each of mass 9.8 kg, are located at three corners of a square with side lengths of 50 cm. A small object is released at the forth corner. Considering only the gravitational forces among the four objects...
  7. T

    Force of Gravitation, Determining dM

    Homework Statement After doing some general solution problems for the force of gravitation on various objects (rods, thin rings, semi-circles, etc), I have noticed that dM varies drastically. For instance on a rod, dM=(M/L)dr while for a semi-circle its (M/2*pi*r)*Rd(theta). I was not able to...
  8. Spinnor

    Problem Book in Relativity and Gravitation, online, free

    Reading Sean Carol's blog I came across a book that has been made available for free online, Problem Book in Relativity and Gravitation by Lightman, Press, Price, and Teukolsky, http://apps.nrbook.com/relativity/index.html I searched and did not find it mentioned here. If it was mentioned...
  9. M

    Is There a Link Between Octononionic Gravitation and the Search for Gravitons?

    The existence of the graviton is repeatedly questioned and surrounded with deep doubts. This affirmation is supported by several elements: The demonstration itself; one get the presumption of that existence via a simplification of the équations of the (generalized) theory of relativity (A...
  10. T

    How can I improve my skills in finding general solutions in physics?

    Hello, few days ago I took an exam in my honors physics class and believe I did not do as well as I did on the other exam. Last exam had a few computational problems and the rest were general solution problems. This recent exam had 8 questions that were all general solution problems as opposed...
  11. R

    Finding revolution time at surface

    Homework Statement For a 0.90km radius cylinder, find the time for one revolution if "gravity" at the surface is to be 9.8 m/s2. Homework Equations rω^2=a The Attempt at a Solution i tried solving for omega but i couldn't find a solution that i only had 1 variable in it.
  12. B

    Newton's Law of Universal Gravitation equation(s) ?

    Homework Statement I am currently reading about Newton's Law of Universal Gravitation and I am so confused as to why there is a negative sign in front of the equation Fg = (G* m1m2)/r^2. Homework Equations Fg = (G* m1m2)/r^2 There is a vector form of the magnitude of the gravitational force...
  13. little neutrino

    Gravitation - Position of Stable Equilibrium

    Homework Statement A particle of mass 3m is located 1.00 m from a particle of mass m. You put a third mass M so that the net gravitational force on M due to the two masses is exactly zero. Is the equilibrium of M at this point stable or unstable for points along the line passing through M and...
  14. Q

    Calculating Net Gravitational Force in Equilateral Triangle Configuration

    Homework Statement Three point particles are fixed in place in the xy plane. The three partiles sit on the corners of an equilateral triangle with sides of length a = 2.50 mm. Particle 1 has a mass m1 = 12.0 kg, particle 2 has a mass m2 = 18.0 kg, and particle 3 has a mass m3 = 15.0 kg. 1...
  15. julianwitkowski

    Graviation With Two Bodies / 1 Dimension

    Homework Statement I'm trying to find the point at which FG attracting to the moon = FG attracting to the earth... 5.98e24 kg = Earth Mass 7.35e22 kg = Moon Mass 3.84e8 m = Distance from Earth to Moon Deductions... a = 3.84e8 - b b = 3.84e8 - a a+b = 3.84e8 Homework Equations g = G m / r2...
  16. T

    Law of universal gravitation (am I doing it wrong)

    Homework Statement What is the gravitational force between Earth and the sun if the Earth has a mass of 5.98 x 10^24 and the sun has a mass of 1.99 x 10^30. The r is (1.5 x 10^11)^2[/B]Homework Equations F=(Gm1m2)/r^2 G= 6.67 x 10^-11 N m^2 /kg^2 ( note that this is a constant)[/B]The...
  17. AdityaDev

    Life on a Cubical Earth: Imagining Gravity and Everyday Challenges

    I was thinking about a situation where we lived in a cubical earth! (Gravity is such that people at each surface will still feel that they are standing upright). I came up with some interesting situations like when a ship crosses an edge or throwing a ball from the edge of surface... What would...
  18. E

    Gravitation and centre of mass

    Homework Statement From my book-- "In motion of a planet round the sun we have assumed the mass of the sun to be too large in comparison to the mass of the planet. Under such a situation, the sun remains stationary and the planet revolves round the sun. If, however, masses of sun and planet are...
  19. E

    Universal gravitation exercise

    If a bullet is fired vertically from the surface of the Earth with initial velocity v = 10 km / s, ignoring air resistance, at which distance h from the center of the Earth would arrive? (The radius of the Earth is RT = 6360 km, and the mass of the Earth MT = 5.98x10^24 kg) I used the formula...
  20. B

    Does object lose kinetic energy due to emitting gravitational waves?

    I always thought when there is no force acting on an object it moves at constant speed but every object that moves generates gravitational waves what causes that object to lose energy. Does it mean that object loses kinetic energy and slows down and after some (very long) time will stop.
  21. DiracPool

    Relativity Musings: Gravitation, Acceleration & Inertial Ref Frames

    I have a 3-pack of related relativity musings I was hoping someone(s) could enlighten me on: 1) Since the reach of gravity is infinite and the universe is homogeneous and isotropic with regards to the distribution of matter, is it fair to say that no object, even those in deep interstellar or...
  22. S

    Circular Motion and Gravitation of tether ball

    Homework Statement There is a tether ball swinging around in a uniform circle on a rope that is 1.90m long. Marcus hit the ball so hard that the string holding the ball made a 20.0 degree angle to the horizontal. What is the tension in the rope if the ball has a mass of 1.40 kg? Assume that the...
  23. J

    Velocity of two spheres under gravitational attraction

    Homework Statement Two solid copper spheres of radii 1 and 2 cm are released from rest in free space, their centers being 20 cm apart. Estimate the velocity with which they collide Homework Equations density =mass/volume F=GMm/r^2 The Attempt at a Solution Find mass of each from density of...
  24. T

    Fusion Due to Gravitation in Bosonic Atoms

    In a bosonic atom i.e. Hydrogen, why do we never observe quantum tunneling past the coulomb barrier leading to multiple atoms occupying the same area of space thus (due to Newton's law of universal gravitation) accelerating towards each other resulting in nuclear fusion?
  25. W

    Asteroid Collision: Calculating Impact Speed

    1. An asteroid is 10r away from the earth, and traveling at a speed of 12 km/s. What is the impact speed of the asteroid when it hits the earth?2. Gravitation problem: U = -Gm[E]m / r ...I think3. I've been looking in my book and online and cannot figure it out, please help!
  26. G

    Exploring Earth's Gravitational Influence: Escape Velocity and the Karman Line

    If we travel 100 km vertically from the surface of the earth, will we no longer be pulled by Earth's gravity and float into space? Same question as above yet with 1000 km. How far up vertically do we have to go to escape Earth's pull and how wide/long is the Earth's gravitational influence. Does...
  27. J

    Inequalities in Force of Gravitation between Three Bodies

    Homework Statement Given that the force of gravitation between Planet A (the one in the left side of the drawing), Fa=3000/da2 and the force of gravitation between Planet B and the rocket, Fb= 6000/ db2. Assuming that the three bodies involved is in stationary. What are the distances (ranges)...
  28. FreeThinking

    MTW "Gravitation" page 263, equation 10.27?

    Homework Statement (This is self-study.) In the equation just above 10.27 on page 263 of "Gravitation" by Misner, Thorne, and Wheeler, the first term is: \frac{\partial}{\partial x^{\beta}} (\frac{dx^{\alpha}}{d\lambda}) \frac{dx^{\beta}}{d\lambda} which becomes the first term in (10.27)...
  29. DOTDO

    By what method did Einstein derived his gravitational field equation?

    Hi. In class, the professor has tried to derive the equation by using the principle of least-action. (But not yet completed. Maybe next class...) However I heard this method is used by Hilbert, who had derived the equation 5 days before Einstein derived it. Then, what method did Einstein use...
  30. S

    Weightlessness in Space: Understanding the Concept and Its Effects on Astronauts

    Homework Statement If two bodies, each of mass M and radius R, initially r (r>>>R) distant away from each other start approaching each other with negligible speed then what is their speed which they collide?? Homework Equations The Attempt at a Solution initial energy,IE = (-G m^2) / r final...
  31. E

    Gravitation above and below the earth's surface

    Homework Statement The value of acceleration due to gravity at a point P inside the Earth and at another point Q outside the Earth is g/2 (g being acceleration due to gravity at the surface of earth). Maximum possible distance in terms of radius of Earth R between P and Q is Ans: R/2 (...
  32. N

    Gravitation and Binomial Expansion

    Homework Statement Use the binomial expansion (1± x)n = 1± nx + (n(n-1)/2) x2 ±... to show that the value of g is altered by approximately Δg ≈ -2g(Δr/rE) at a height Δr above the Earth's surface, where rE is the radius of the Earth, as long as Δr<<rE Homework Equations g=GM/r2 The Attempt...
  33. L

    Universal Gravitation w/ Earth & Moon

    Homework Statement The acceleration of gravity on the Moon is 1/6 what it is on Earth. The radius of the Moon is 1/4 that of the Earth. What is the Moon's mass compared to the Earth's? Homework Equations F_g = \frac{GMm} {r^2} => mg = \frac{GMm} {r^2} => g = \frac{GM} {r^2} => M = \frac{gr^2}...
  34. C

    Potential Energy Gravitation Kinetic Energy

    Homework Statement An asteroid of mass m = 2.6 × 10^6 kg approaches the Earth. When it is exactly 3 Earth radii away from the Earth's centre its speed relative to the Earth's centre is u = 8.7 × 10^3 m s–1. The asteroid subsequently falls down to the Earth's surface. You may assume that the...
  35. R

    Gravitation Redshift for very dense stars

    Homework Statement In deriving the expression ##\frac{f'-f}{f}=\frac{gH}{c^2}=\frac{GM_s}{R_sc^2}## , it was assumed that ##\triangle f=f'-f## was small, and that the photon had a constant mass of ##\frac{hf}{c^2}##. Suppose that a star is so dense that ##\triangle f## is not small. (a) Show...
  36. S

    EM Wave Equation in Higher Dimensions: Gravitation Text

    Caution: I'm new at this stuff. On page 573 of Gravitation (Misner, Thorne, Wheeler), they write down what I think is the electromagnetic wave equation for a discussion on Optics, "Next insert the vector potential (22.25) into the source-free wave equation (22.19d):" I am wondering if the...
  37. S

    Perpetuum Mobile and Gravitation

    I have fundamental question about what is called the “law of conservation of energy”. We all hear about the tidal power stations which using the tidal power. The source of the tidal power came from the changes in the gravity field between the moon and the earth. Allegedly, because of the law of...
  38. Y

    Newton universal gravitation formula, how f is dimensionally derived?

    If f dimensions are ml/t^2, where does t^2 come from in the equation of F = G*m1*m2/r^2 where I believe G to be a constant, m1 and m2 to be masses and r to be the distance between two masses - so length. To dimensionally analyse this then, where would the dimension time come from if I were to...
  39. V

    Doubt in Gravitation: Understanding the Orbital Motion of Two Stars

    Homework Statement Suppose two stars are orbiting each other in circular orbits with angular speed ##\omega## .M1 is at distance r1 from CM wheras M2 is at distance r2 such that r1+r2=d where d is the distance between them . Now i have a little doubt whether the stars are orbiting around...
  40. N

    Exploring Le Sage's Theory of Gravitation: Is “Push Gravity” Possible?

    I've been doing research on Le Sage's theory of gravitation, anyone interested in discussing the possibility of "push Gravity"?
  41. S

    What is the nature of the force of gravitation?

    What is the nature of the force of gravitation? Is it electrostatic,magnetic or something else? According to the law of gravity.. gravity exists between atoms to planets and planets to supernovae, How does gravitation occur? If possible, don`t paste links of references...just quote them.. I`ll...
  42. K

    Calculate Minimal Speed to Throw Stone from Moon to Earth

    Homework Statement At which minimal speed must a stone be thrown from the moon in order to reach earth. R is the Earth's radius and r the moon's. M is the Earth's mass and m the moon's. I ignore the stone's mass, it cancels Homework Equations $$U=-\frac{GMm}{r}$$ G=6.7E-11 R=6.4E6...
  43. K

    What Is the Acceleration at Point A Above a Planet?

    Homework Statement A mass m=100[kg] is released from stand still at point A which is in a distance of 1E7[m] from the face of a planet. The planet's radius is also 1E7[m] and the free fall acceleration on it's face is 10[m/s2. What is the acceleration at point A Homework Equations The...
  44. K

    Gravitational Energy for Satellite: r1 to r2

    Homework Statement A satellite orbits at radius r1. What is the energy required to pass it to a greater radius r2. express in terms of m and g Homework Equations The total energy of a satellite: ##E=-\frac{GMm}{2r}## The Attempt at a Solution...
  45. K

    Gravitation Energy: Calculating Required Energy for Orbit w/ m, T, M, R

    Homework Statement A mass m is sent from Earth into an orbit. the period is T. What is the energy required to put it into orbit. express it with T, m, M, R(radius of earth) Homework Equations $$E=\frac{1}{2}mv^2-\frac{GMm}{r}$$ $$2\pi r=vT$$ The Attempt at a Solution I expressed the...
  46. K

    Solving Gravitation Energy 2: Find Velocity at Ground from Height h & Radius R

    Homework Statement Mass m is left to fall from height h above the surface of a star with radius R. derive an expression for the velocity it hits the ground, using R, h and the acceleration g Homework Equations The energy: ##E=\frac{1}{2}mv^2-\frac{GMm}{r}## The acceleration...
  47. K

    Maximizing Rocket Height: Calculating Gravitational Energy | Homework Statement

    Homework Statement A rocket is shot with velocity smaller than the escape velocity. at what angle to the horizon should it be fired in order to reach maximum height. Homework Equations Total energy: ##E=\frac{1}{2}mv^2-\frac{GMm}{r}## The Attempt at a Solution The equation isn't vectorial, it...
  48. tom.stoer

    Special relativity and gravitation

    It is well-known that Newtonian's law of gravitation \Phi(\vec{r}) = -\frac{Gm}{|\vec{r} - \vec{a}|} for the gravitational potential ##\Phi## generated by a mass ##m## located at ##\vec{a}## is in several ways inconsistent with special relativity. What one could do is to modify the...
  49. R

    Can Gauge Theory Successfully Integrate with General Relativity?

    Hi, while I'm going deeper in my SR/GR knowledge, having LQG unrderstanding as main goal ( my QM background and maths is a bit stronger than GR's one, til now ) I came across some interesting youtube lectures about Gauge theory of Gravitation...
  50. FysixFox

    Concerning the Classical Electromagnetism and Gravitation Constants

    In classical electromagnetism, Coulomb's constant is derived from Gauss's law. The result is: ke = 1/4πε = μc^2/4π = 8987551787.3681764 N·m2/C2 Where ε is the electric permittivity of free space, μ is the magnetic permeability of free space, c is the speed of light in a vaccuum, and 4π is...
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