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. K

    Gravitation: Mass Ratio, Separation, and Potential Maximum

    Homework Statement A. The mass ratio of the Earth and the moon is 81:1 and the earth-moon separation is 3.8x108m. At which position between the Earth and the moon is the gravitational potential at a maximum? B. Which of the following statement about a communication satellite in parking...
  2. M

    Gravitational Potential & Field Intensity: Example When Zero & Non-Zero

    Homework Statement Please give an example when the following condition is true- Gravitational Potential is zero and gravitational field intensity is non-zero. Homework Equations The Attempt at a Solution
  3. G

    Gravitation: Calculating Accel. Due to Gravity at 1.43x10^8 m

    Homework Statement 1.A satellites are placed in a circular orbit that is 1.43 × 10^8 m above the surface of the earth. What is the magnitude of the acceleration due to gravity at this distance Homework Equations 1.I used G*mE/r^2 The Attempt at a Solution 1. Got an answer of .0195m/s^2 I...
  4. Y

    Law of universal gravitation - why DON'T heavy objects fall faster in a vacume

    I'm trying to understand the basics of gravity. Newtons law of universal gravitation gives us : F1 = F2 = G (m1m2)/r2 Now on Earth you can simply that down to F = mg where g = G (mearth/R2) But using f = mg, a heavier object say a tennis ball should fall faster than a cannon ball. But...
  5. J

    Is Statement C About Newton's Law of Gravity True?

    Homework Statement Which of the following statements about Newton’s Universal Law of Gravity is false? A. The heavier mass exerts a force on the lighter mass that is equal but opposite to the force the lighter mass exerts on the heavier mass. B. A heavy mass from far away can exert the...
  6. A

    Simple Harmonic Motion and Gravitation: Solving for r(t)

    I'm working on a problem on relating gravitation and simple harmonic motion. The idea is that a mass dropped in a hole drilled through the Earth will oscillate (no friction, etc). The question asks this: "Show that the motion of the mass is simple harmonic motion and find a formula for r(t)"...
  7. D

    Is law of universal gravitation really correct?

    hello, I'm not saying that Newton's law of universal gravitation is really wrong but there are phenomenons which i don't think the law is really correct and i want someone to help me. There might be explanations but i don't really know any explanations right now so an explanation would be...
  8. P

    Gravitation and Newton's Synthesis

    Homework Statement At what distance from teh Earth will a spacecraft on the way to the Moon esperience zero net force due to these two bodies because the EArth and Mon pull with equal and opposite forces? Homework Equations net force = m a a radial = r^-1 v^2 Fg = r^-2 G M m...
  9. R

    Relative motion of two particles in Newton's field theory of gravitation.

    I don't understand the physical meaning of one of my dimensions/variables. Let there be a gravitational potential \phi (x_a), a=1,2,3. Equation of motions of a freely falling particle is: \frac{d^2 x_a}{d t} = - \frac{\partial \phi}{\partial x_a}. If there are 2 particles falling, family of...
  10. T

    Why is Newton's law of gravitation different for non-spherical objects?

    Hi there, I don't understand why the equal of Newton's law of gravitation F = Gm1m2/d(squared) is different for no spherical objects. In the image of my attachment there are one spherical object and a no spherical object. So why if there are not very distant the equal used is F =...
  11. T

    Name for DE given by law of gravitation

    Is there a name for the DE given by Newton's law of gravity: f''(x) f(x)^2 = -1 ?
  12. B

    Newton's law of universal gravitation

    Hi all, Does Newton's law of universal gravitation depend on the geometry of the manifold? For example, what happens to formulas if we take the projective plane as our universe? How can one model "the mass" on the projective plane or on torus? I am a math grad with very elementary...
  13. T

    What is the meaning of strength in the context of gravitational fields?

    What does strength mean exactly in this context below. Is this the acceleration imposed by M on m? Strength of gravitational field created by a mass M: g = F/m = -G(M/r^2)r^unit
  14. V

    Gravitation: curved spacetime or a force?

    In the Einstein's theory of general relativity, the gravitation is an attribute of curved spacetime instead of being due to a force propagated between bodies. But the quest for the famous graviton does not presume that gravitation is due to a force? Is the quantum gravity conflicting with the...
  15. P

    Gravitation multiple particle system

    Homework Statement The three spheres in Fig. 13-45, with masses ma=80g ,mb=10g and mc=20g, have their centers on a common line, with L=12 cm and d=4cm. You move sphere B along the line until its center-to-center separation from C is d=4cm. How much work is done on sphere B (a) by you and (b)...
  16. E

    Gravitation between particle and rod. Simple integration. Problem with answer.

    Hi, I have attempted a basic gravitation question from “Classical Mechanics” R. Douglas Gregory (1st ed). I get the answer provided at the back of the book, but it doesn't make sense to me. Can someone help me interpret the answer? Question: Pg 71, Q3.3 A uniform rod of mass M and...
  17. P

    Gravitation, really hard at least for me

    Homework Statement In Fig. 13-41, a particle of mass m1 = 0.23 kg is a distance d = 84 cm from one end of a uniform rod with length L = 6.4 m and mass M = 2.4 kg. What is the magnitude of the gravitational force on the particle from the rod?Homework Equations...
  18. P

    Gravitation, hollowed out sphere

    Homework Statement Figure 13-39 shows a spherical hollow inside a lead sphere of radius R = 4.5 m; the surface of the hollow passes through the center of the sphere and “touches” the right side of the sphere. The mass of the sphere before hollowing was M = 380 kg. With what gravitational...
  19. P

    When does Newton's Gravitation fail us?

    I am trying to learn more about General Relativiity. We had Newton's Law of Gravitation. When does it not work? I heard at very high speeds, high mass bodies, and when the distance to a high mass body is very short (Mercury for example, I think)? How does Newton's Gravitation differ...
  20. O

    Theory questions about Newton's Laws and Gravitation

    I'm trying to figure out these two problems and I'm so lost! 1. Two planets are circling a star. The second planet has an orbit 4 times the size of the first planet. By the time the first planet revolves once, how many times the second one will? My solution: the formula is T=2PiR/v... so...
  21. M

    From Kepler's law to gravitation force

    Hi all! It is often said that Newton deduced from Kepler's laws the theory of gravitation. Particularly from (T^2)/(a^3)=const for differnet planets he deduced that gravitational force must look like '1/(r^2)'. I can also do that by writing F=ma and integrating it in spherical coordinates, but...
  22. J

    Gravitation and electromagnetism is unified by Kaluza-Klein theory

    Recently I read that gravitation and electromagnetism is unified by Kaluza-Klein theory. Can someone tell me in depth how they are unified
  23. D

    Universal gravitation + orbits question

    Homework Statement A 450kg satellite is to be placed at an altitude of 2.45 x 10^6m above the Earth surface. Calculate the period the satellite will have when orbiting at that altitude. Homework Equations m2g = Gm1m2/R^2 = m2v^2 = m2(4pie)^2 R /T^2 = m2 2pie v/T Ac=4pie ^2 R / T^2...
  24. D

    Why do we need to see gravitation as force?

    why can't we see it as dimension like time?
  25. Z

    Why does the weighing scale show a different value when gravity is turned off?

    Here is the succinct story of apple which fell on Sir Newton. Since both apple and Earth attract each other with a force equal in magnitude from both sides but apple move faster towards Earth because of its greater acceleration than negligible acceleration of earth. So Newton derived the...
  26. E

    No infinite gravitation in string theory?

    Combining quantum mechanics with general relativity supposedly yields infinite gravitation, between the gravitons if I have understood this correctly (correct me if I'm wrong). String theory supposedly does away with this infinite gravitation -- my question is, how does it do this...
  27. M

    Gravitation and its effect on elliptical orbits

    Homework Statement Comets travel around the sun in elliptical orbits with large eccentricities. Suppose the comet has an initial speed of 1.17*10^4 m/s when at a distance of 4.9*10^11 m from the center of the sun, what is its speed when at a distance of 5.9*10^10 m? Give your in m/s in...
  28. K

    How Does Rocket Velocity Relate to Escape Velocity and Gravitational Potential?

    Homework Statement A rocket accelerates to speed v0 near the Earth's surface,and then coasts upwards. Show that if v0 = 2sqrt(gR) where R is the Earth's radius, then very far from the Earth the rockets speed will be v = sqrt(2gR) Homework Equations The only equations I have thought...
  29. C

    Solve Gravitation Problem: Find Planet Radius from 11 kg Satellite Orbit

    Homework Statement A 11 kg satellite has a circular orbit with a period of 1.0 h and a radius of 4.9 × 10^6 m around a planet of unknown mass. If the magnitude of the gravitational acceleration on the surface of the planet is 41 m/s^2, what is the radius of the planet? The attempt at a...
  30. N

    Calculus hangup in Gravitation

    So, I'm going over this bit in the beginning of MTW's Gravitation where they give an equation for changing acceleration from time coordinate t to time coordinate T(t): \frac{{d}^{2}x}{{dt}^{2}} = \frac{d}{dt}(\frac{dx}{dT}\frac{dT}{dt}) = \frac{{d}^{2}T}{{dt}^{2}}\frac{dx}{dT} +...
  31. O

    Gravitation (Potential Energy)

    Homework Statement How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 1000 m/s? The radius of the asteroid is 565000 m, and the gravitational acceleration near the surface is 2.7 m/s^2 Homework Equations The Attempt at a...
  32. A

    Gravitation Problem: Force of Sphere on Sheet

    Homework Statement If a uniform sphere of mass M and radius R, is height h above an infinite sheet of uniform density \rho_{s}, what is the gravitational force of the sphere, on the sheet. Homework Equations F=\frac{GMm}{R^{2}}; \Phi=\frac{GM}{R}; \nabla\bulletg=4\piG\rho; U=m\Phi...
  33. science_rules

    What is the Formula for Determining Height in Newton's Law of Gravitation?

    Homework Statement Starting with Newton's law of gravitation, determine the height h one person has to go from the surface of Earth in order for the person's weight to be reduced to 1/5 of their weight at the surface of the Earth. The only information you are given is that the radius of the...
  34. P

    Measuring Constant of Gravitation in Basement - Experiment

    The other day I was reading a simple experiment to determine (yes, very roughly) the constant of gravitation, all using simple tools in your basement. http://www.fourmilab.ch/gravitation/foobar/" What struck me about this experiment is another that I remember from childhood cartoon...
  35. B

    Dont understand Gravitation Inside Earth concept

    I was reading this very small section in my physics book and can't seem to come to grips with its concept. It starts off with Newtons shell therem being applied to a particle located inside a uniform shell and that the shell exerts no 'net' gravitational force on a particle inside it. It...
  36. P

    Gravitation and the Principle of Superposition

    Homework Statement A square of edge length 19.0 cm is formed by four spheres of masses m1 = 5.10 g, m2 = 3.00 g, m3 = 1.20 g, and m4 = 5.10 g. In unit-vector notation, what is the net gravitational force from them on a central sphere with mass m5 = 3.00 g? Homework Equations...
  37. J

    Gravitation Force: Infinite Attraction & Separation

    If the distance between two objects is zero, won't there be infinite gravitational attraction force between them? How would the objects can get separated?
  38. B

    Does the law of gravitation suggest the earth is hollow?

    classically, acceleration towards the Earth's surface is described by a=G*m/r^2 usually we think of using this formula to calculate the force of gravity as we rise away from the Earth's surface. but consider what would happen if if you traveled through a tunnel to the center of the earth...
  39. K

    Calculating Net Gravitational Force on Mass A in a Square Configuration

    Homework Statement Each mass is 4kg find the magnitude and direction of the net gravtitational force on mass A due to the other masses. each side of the square is 10cm http://img13.imageshack.us/img13/3815/1012447.jpg I am having trouble with (b) the square Homework Equations F =...
  40. Q

    Why does the total energy in a satellite's orbit change when it loses control?

    Hi everyone. I know about the equations of gravitation but something is still bothering me. The equation for total energy of a satellite in an orbit is -GMm/2r However, when the satellite suddenly lose control and heads to the Earth, why does the total energy in the system change according...
  41. H

    Amusement park ride gravitation problem

    Homework Statement In an old-fashioned amusement park ride, passengers stand inside a 5.4-m-diameter hollow steel cylinder with their backs against the wall. The cylinder begins to rotate about a vertical axis. Then the floor on which the passengers are standing suddenly drops away! If all...
  42. K

    How does Curvature Relate to 'Gravitation'?

    I have searche many general relativity texts and have not found an answer to the following question: How does curvature translate into the Newtonian idea of gravitation? For example, how is Newton's law of gravitation, where all matter attracts all matter, an approximation to the idea of...
  43. Z

    Centripetal motion and universal gravitation question: Mars and Sun question

    Homework Statement Mars travels around the Sun in 1.88 (Earth) years, in an approximately circular orbit with a radius of 2.28 x 10^8 km Determine a) the orbital speed of Mars (relative to the Sun) b) the mass of the Sun Homework Equations acceleration centripetal = 4(pi^2)(r) /...
  44. Z

    Calculate Where Earth & Moon's Gravitational Attraction Is Canceled

    Homework Statement The mass of the Moon is 7.36 x 10 ^ 22 kg. At some point between Earth and the Moon, the force of Earth's gravitational attraction on an object is canceled by the Moon's force of gravitational attraction. If the distance between Earth and the Moon (center to center) is 3.84...
  45. B

    Volume of Dimension reduced due to gravitation

    I've had this on my mind for a while. I'm pretty confident that I have the right idea, but I can't find a formula that I could use to prove it to someone. So, here it is. Imagine a sphere of space-time with absolutely nothing inside of it. It is a large sphere, sun-size large. Now, take...
  46. P

    Approximate Speed of Object Dropped from Height h with Variable Gravity

    Suppose an object is dropped from height h, where h < R but gravity is not constant). Show that the speed with which it hits the ground, neglecting friction, is approximately given by: v = sqrt(2gh)(1 - (h/2r)) where g is the acceleration due to gravity on the surface of the Earth. HINT...
  47. N

    Do high and low energy photons follow the same trajectory around a planet?

    Do higher energy photons have the same trajectory around planet/gravity as low energy photons? I.e: If you were shooting photons from the same position wrt a planet would their path be the same?
  48. Z

    Easy Newtonian Gravitation viewed from a rusty perspective.

    Homework Statement Given if: (1) Fsm + Fem = Mm x Ams (2) Ams = Ame + Aes (3) Res ~= Rms Show that (4) Fem ~= Mm x Ame Where: 'Fsm' is the force between the sun and moon, 'Fem' the force between Earth and moon, etc. 'Mm' is the mass of the moon, 'Ams' the accelleration of the...
  49. D

    What happens to gravity when light travels at the speed of light?

    (Offtopic from another thread) So I have a super-duper laser which can emit a very short but extremely powerful pulse in some direction. This pulse is so powerful that the energy of light is say 1Kg * c**2, or the relativistic mass of light is 1Kg. What is a gravity from that light...
  50. K

    An Interesting Gravitation Problem

    Homework Statement Two satellites are launched at a distance R from a planet of negligible radius. (Yes, that's what the problem says...) Both satellites are launched in the tangential direction. the first satellite launches correctly at a speed v_0 and enters a circular orbit. The second...
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