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. Ravi Singh choudhary

    Pressure should decrease in zero gravity?

    Pressure can exist in a container of gas even if there is no gravity. From kinetic theory of gases it is assumed that pressure exists due to momentum transfer between molecules and the wall. Suppose I have a closed container on Earth at sea level filled with air. Now I carried it to zero gravity...
  2. B

    Gravitational potential energy problem

    Homework Statement Question :- Two stars, each of a solar mass and radius ##10^7 m## are at a distance of ##10^{12} m## from each other. Find the speed of each star before collision if initial speed is negligible. Homework Equations $$V(r) = {-G Mm \over r}$$ The Attempt at a Solution...
  3. B

    What does gravitational potential mean ?

    Gravitational potential energy between 2 objects is ##-{G\times M\times m\over R}.## My question is, does the value of this equation of this equation mean total gravitational potential energy of both objects ? i.e, say the gravitational potential energy of object with mass ##M## is ##p## and...
  4. Elvis 123456789

    Gravitational Potential due to spherical shell

    Homework Statement What is the gravitational potential both inside and outside a spherical shell of inner radius b and outer radius a? Homework Equations φ = ∫g⋅da = -4πGMencl g = d∅/dr in the r hat direction The Attempt at a Solution I can get as far as getting the gravitational field for...
  5. A

    Forces of gravitation of moon and earth + Newtons 3rd law

    In relation to two objects with a gravitational field on them (i.e. a planet and its moon), would there be two pairs of partner forces (the force of gravity exerted from each object and the resulting partner force from each force of gravity)? For example with the Earth and moon: 1. Force of...
  6. D

    Other Reading 'Gravitation', I need more background....

    I've just reached the opening in chapter 2 wherein there's a brief discussion of concepts and math which should be familiar to the reader (Basic SR stuff it seems), and I'm not familiar with it unfortunately. I am familiar with future and past light cones, and the language of causality, but not...
  7. tomdodd4598

    I Special Relativity Approximation of Gravitation

    Hey there, I have two questions - the first is about an approximation of a central gravitational force on a particle (of small mass) based on special relativity, and the second is about the legitimacy of a Lagrangian I'm using to calculate the motion of a particle in the Schwarzschild metric...
  8. Deebu R

    Another gravitation problem

    Homework Statement If the gravitational accleration at the Earths surface is 9.81 m/s^2 what is its value at a height equal to the diameter of the Earth from its surface? 2. The attempt at a solution I have heard that it becomes 1/4th the value as the center of mass is moving away form each...
  9. Deebu R

    Understanding Gravitational Acceleration at Different Depths on Earth

    Homework Statement If we take the gravitational acceleration at the Earth's surface as 10,/s^2 and the radius of the Earth as 6400km, decrease in the value of the gravitational acceleration g at a depth of 64 km from its surface would be ...,/s^2 2. The attempt at a solution I was never really...
  10. Domenico94

    A Gravitational law of induction

    By reading on the internet I ve found various websites talking about the relation between gravitation and electromagnetism, and in particular, under: - "Small" Gravitational fields -"small" changes in energy with respect to time, The linearized enstein' s field equation becomes pretty much...
  11. M

    Banked roads -- circular motion and gravitation

    Homework Statement If a curve with a radius of 88m is perfectly banked for a car traveling at 75km/h, what must be the coefficient of static friction for a car not to skid when traveling at 95 km/hr 75km/h = 20.8m/s 95km/h = 26.4m/s Homework Equations Fr=mv^2/r Fr=centripetal force m = mass r...
  12. Clara Chung

    How do I Calculate GMm with Given a and T for Gravitation Problem?

    Homework Statement The question is attached Homework Equations Kepler's laws and gravitational equations The Attempt at a Solution the question gave me a and T, I related it with Kepler's third law a^3/T^2, then I don't know what to do next. The answer of part a is 1.27 x10^17 /r^2 , part b =...
  13. V

    I Comparing Gravitational Waves & Post-Newtonian Approximation

    Hello, I would like to ask, if somebody knows anything about comparison post-Newtonian approximation of gravitational waves and these which were detected. Or generally post-Newtonian predictions vs. facts found in detection. I tried find some article but I didn't find. Please let me know what...
  14. fresh_42

    B Test of the Universality of Free Fall with Atoms

    I have found an article about an experiment that states that gravity on a small scale doesn't experience quantum effects. Of course the headline has been catchy, so I want to ask about the real importance or relevance of the experiment. Or for short: Do the results imply any consequences on...
  15. M

    What is the distance of the particle from mass A?

    Homework Statement Two bodies A and B having masses m and 2m respectively kept at a distance of d apart. A small particle is kept between A and B such that the net gravitational force on the particle is zero due to the bodies A and B . Its distance from mass A should be ? Homework...
  16. T

    Relativity Gravitation by Misner or something similar

    I was looking for this book but it appear that is out of print and the only copies available are very expansive, so what book would you recommend on GR? I mean, i want some in-depth textbook. Thanks! ;)
  17. S

    A solid cylinder of uniform density of 0.85 g/cm3 floats in

    Homework Statement A solid cylinder of uniform density of 0.85 g/cm3 floats in a glass of water tinted light blue by food coloring. https://s1.lite.msu.edu/res/msu/kashy/physicsLib02/32_Fluids1_Pascal_Arch/graphics/archimedes.gif Its circular surfaces are horizontal. What effect will the...
  18. S

    A small solid sphere of mass M0, of radius R0, and of unifor

    Homework Statement A small solid sphere of mass M0, of radius R0, and of uniform density ρ0 is placed in a large bowl containing water. It floats and the level of the water in the dish is L. Given the information below, determine the possible effects on the water level L, (R-Rises, F-Falls...
  19. T

    Deriving Newtonian law of gravitation

    Homework Statement Homework Equations $$\frac{\omega}{v}=\frac{s}{r}$$ The Attempt at a Solution How to get the equation above? Cause $$\frac{s}{r}=\omega$$ & $$\frac{\omega}{v}=\frac{1}{r}$$ since v=rw. Source: http://www.relativitycalculator.com/Newton_Universal_Gravity_Law.shtml
  20. Swapnil Das

    B Question about the nature of Gravitation

    Hello. Modern Physics explains Gravitation in two general ways: In accordance to the General Theory of Relativity, Gravitation is thought of as an effect of the curvature of space-time continuum. This results in the formation of the recently and famously detected Gravitational Waves. Quantum...
  21. A

    Newton's law of universal gravitation

    Homework Statement [/B] Two 100-kg thrill seekers are diving into a neutron star. The neutron star’s mass is 1.1 solar masses and its radius is 12.0 km. For safety, they tie themselves together with a cord 10m long, so that as Melvin reaches the surface of the neutron star, Fred is 10.0 m...
  22. A

    Gravitation energy of a spherical shell

    I am asked to find the total gravitational energy of a hollow sphere using the fact that the field energy density is given by ##u_g = \frac{-1}{8\pi G}g^2##. Now, ##g = \frac{Gm}{r^2}## in this case and substituting gives ##u_g = \frac{-GM^2}{8 \pi r^4}##. Integrating this over volume will give...
  23. D

    Why does centripetal force not apply in gravitation problem?

    Homework Statement The elliptical orbit of a comet is shown above (hidden document I apologize but easy to picture). Positions 1 and 2 are, respectively, the farthest and nearest positions to the Sun, and at position 1 the distance from the comet to the Sun is 10 times that at position 2. What...
  24. N

    Finding work done using definite integrals

    On applying definite integral to find work done, we integrate F.dx and apply lower and upper limits. Should we apply the dot product, before integration , that is -1 for θ = 180, 1 for θ = 0. Or will the limits applied and their values suffice in deciding the sign of the final value. I have...
  25. twistor

    A What would happen if only gravitons existed?

    This is a somewhat weird question, but here it goes: What would happen if there were only gravitons? Would some other kind of particle appear in the Universe sooner or later? Would there be any chance for mass to appear in such a Universe (assuming that the graviton is a massless particle)...
  26. Dietrichw

    Law of universal gravitation and Kepler's law

    Homework Statement Show that the rate of change of the free-fall acceleration with vertical position near the Earth's surface is \frac{d}{dr} [g] = -\frac{2GM_E}{R_E^3} Assuming h is small in comparison to the radius of the Earth, show that the difference in free-fall acceleration between...
  27. S

    Centrifugal term in mechanical energy in gravitation

    I'm studying effective potential in Newtonian gravitation. The mechanical energy of a body can be written $$E=\frac{1}{2}\mu {\dot{r}}^2+\frac{L^2}{2\mu r^2}-\gamma \frac{m M}{r^2} \tag{1}$$ Where \mu is the reduced mass of the system planet-star. Consider now the term...
  28. S

    I Properties of body with spherical symmetry

    I'm studing Gauss law for gravitational field flux for a mass that has spherical symmetry. Maybe it is an obvious question but what are exactly the propreties of a spherical simmetric body? Firstly does this imply that the body in question must be a sphere? Secondly is it correct to...
  29. Tom MS

    Falling to a Star With Varying Acceleration

    Take an object of negligible mass that is dropped from rest 2 kilometers away from a neutron star of mass 1.989*10^30 kilograms (1 solar mass) and radius 7,802 meters. How long will it take the object to reach the surface of the neutron star? I'm not terrible at calculus, but I know for a fact...
  30. W

    Is v = 11,2km/s enough to wrest away from the Sun's gravitation

    Homework Statement Are 11,2km/s enough, to wrest away from the Suns gravitational field? (We are departing away from the Earth planet, away from the sun) Here I am unsure if I should use Suns Radius or Earths Radius r. I think that Suns Radius would be more logical, since the problem is about...
  31. science_rules

    Applying Newton's Universal Law of Gravitation

    Homework Statement This problem only requires to find h, but I want to make sure that I also found Me and g correctly. Starting with Newton's Law of Gravitation, determine the height h one person has to go from the surface of the Earth in order for that person's weight to be reduced to...
  32. CJ2116

    Relativity Is Gravitation by MTW Out of Print?

    Hi everyone, When I graduated college about 4 years ago I had to, regrettably, sell off many of my math/physics books to pay back my student loans. One of my favorites was Gravitation. For the past few months I have been looking to buy it again, but it looks like all of the major sellers...
  33. X

    B Gravitation with multiple objects by using center of mass

    Four 9.5 kg spheres are located at the corners of a square of side .60 m. Calculate the magnitude and direction of the total gravitational force exerted on one sphere by the other three. So, essentially my question is, why can I not use center of mass of the other 3 spheres to calculate the...
  34. RoboNerd

    Angular Acceleration and Moment Arm

    Homework Statement [A rocket has landed on Planet X, which has half the radius of Earth. An astronaut onboard the rocket weighs twice as much on Planet X as on Earth. If the escape velocity for the rocket taking off from Earth is v , then its escape velocity on Planet X is a) 2 v b) (√2)v c) v...
  35. RoboNerd

    Question on Orbits and Kepler/Uni. Grav. Laws

    Homework Statement The picture has the problem question. OK. When the moon is at point B, the distance from the moon to the center of the planet is most nearly: A) (1/25) * rA B) (1/5) * rA C) (1/ sqrt(5) ) * rA D) rA E) sqrt(5) * rA. Homework Equations Newton's law of gravitation...
  36. C

    B Is Gravitational Quantization Supported by the Stability of Orbital Electrons?

    Does the fact that orbital electrons are stable suggest that gravitation is quantized, analagous to the observation that the stability of orbital electrons suggested that electromagnetic energy was quantized?
  37. T

    The value of g above and below the earth

    Homework Statement The value of g at a point P inside the Earth and at another point Q outside the Earth is g/2. Maximum possible distance in terms of radius of Earth between P and Q is? (g being the acceleration due to gravity on the surface). Homework Equations gh = (1+h/r)-2g...
  38. Elnur Hajiyev

    Relativity Comparing General Relativity books

    Hello. I have 2 books in General Relativity: MTW Gravitation and Bernard Schutz First Course in General Relativity. I studied Calculus I, II, and have a basic understanding of Linear Algebra(did not studied extensively). I want to learn about GR as much as possible, and improve myself to become...
  39. W

    Solving a Term about gravitation to r

    Homework Statement I want to know how this equation is getting solved to r. I know the result, but I want to know how :) Homework Equations γ*m*Me/r = 4Π2*m*r/T^2Solution does need to be: r = ^3√γMeT^2/4Π^2 (^3√ should mean the 3rd root/radical) The Attempt at a Solution I am so far...
  40. D

    What is the trace of a second rank covariant tensor?

    What is the trace of a second rank tensor covariant in both indices? For a tensor covariant in one index and contravariant in another ##T^i_j##, the trace is ##T^k_k## but what is the trace for ##T_{ij}## because ##T_{kk}## is not even a tensor?
  41. H Smith 94

    Verlet algorithm: Why am I getting this output?

    Hi! I am currently trying to write a code in C to simulate the orbit of planets around the Sun in the solar system. I am using the velocity Verlet approach and finding that my code produces no acceleration in the ##y##-direction (aside from for ##t_n = 0##,) and that the planet just flies off...
  42. I

    I Energy needed to launch a spaceship into Space

    A given planet has a mass, M = 6.42*10^23 kg, and radius, R = 3.39 * 10^6 m. The gravitational konstant is G = 6.67*10^-11 A spaceship with mass m = 4000 kg is launched from the planets surface. How much energy is needed to send the spaceship to a height h = 100 km above the planets surface?
  43. J

    Inverse square law in gravitation

    Help! Has anybody made a case as to why the inverse square law should apply to gravitation, a case that is based on pure reasoning, instead of empirical evidence? I have been trying to find such arguments, but no luck so far. Janein
  44. R

    How long would it take two planets to collide?

    So, i was on the plane going for oxford interviews and i was thinking about what i could be asked. While i was thinking i came up with this one. Suppose the Earth and the moon were at a distance α apart at rest, how long would it take for them to crash into each other. I'm only really...
  45. N

    Distribution of force acting upon two charged objects

    Coulombs law states 2 point charges of opposite sign will attract where acting simultaneously on two point charges and as follows: The formula calculates the force that will act and implies the force be equally experienced by both points of charge even if one charge is much greater than...
  46. **Mariam**

    Kepler's laws, universal gravitation mcq doubt

    Homework Statement http://[url=http://postimg.org/image/f7e6kp0xv/][PLAIN]http://s21.postimg.org/f7e6kp0xv/image.jpg Homework Equations Kepler's laws The Attempt at a Solution I thought the answer will be C : I and II But the solution written (it was my friends book) is B, which is correct?
  47. P

    Gravity around small black holes

    If a black hole had a mass similar to the Sun (I know black holes tend to be at least three times larger but let's assume an unusual series of events) how far would the are of extremely distorted bent gravity around it be could it cause closely orbiting bodies to be pulled or pushed out of orbit...
  48. T

    Universal Gravitation problem - Satellite Orbit

    Homework Statement http://prntscr.com/9huihp Given, Mass of the Earth = 6*1024 Mass of Satellite = 45 kg Radius of Satellite's orbit = 4.2*107 G = 6.67*10-11 Find the velocity of the satellite. Homework Equations Gravitational Force Fg = (G*Me*Ms)/(Rs2) Newton's second law: Fg = Ms*a where a...
  49. B

    Relativity What are the necessary prerequisites for understanding Gravitation?

    I recently got my hands on a copy of Gravitation by John Wheeler, Kip Thorn and Charles Misner. Reading the first few pages are very discouraging. The limit of my physics knowledge are from taking high school physics. What book would give me the knowledge I need to read Gravitation?
  50. james_dear

    Orbit of Cube Planet: Physics Explained

    What is the physics behind a orbit a cube planet. Does the convential physics including keplars laws and circular motion still apply. Also The cube having a centre of mass posited in the middle of the cude does this mean it can be consider point mass and the same as spherical planet orbit? any...
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