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. T

    A gravitation problem with two masses

    Homework Statement A uniform sphere has mass M and radius r. A spherical cavity (no mass) of radius r/2 is then carved within this sphere (the cavity's surface passes through the sphere's center and just touches the sphere's outer surface). The centers of the original sphere and the cavity...
  2. T

    Solution to Gravitation Problem - Third Mass on Perpendicular Bisector

    Homework Statement Two identical point masses, each of mass M, always remain separated by a distance of 2R. A third mass m, is then placed a distance x along the perpendicular bisector of the original two masses. (Picture attached.) Show that the gravitational force on the third mass is...
  3. M

    Universal gravitation previous exam problem

    Homework Statement I'm having trouble with this problem attached. Any help would be appreciated. Homework Equations The Attempt at a Solution
  4. J

    Help - Ideas for Making a Lesson on Universal Gravitation Interesting?

    Hi all, I'm currently a student teacher. Next week I'm going to teach a lesson on universal gravitation to grade 11 students. It's the first lesson on the topic, so it will be an introduction and not too in-depth. I'm struggling with ways to make it interesting. I decided to start the lesson...
  5. Q

    Newtons laws of universal gravitation

    Homework Statement its 3.8 x 10^8 from Earth's core to the lunar's core calculate the gravitational attraction exerted by Earth on the moon Homework Equations ag = GM/ r^2 G= 6.67 x 10^-11 M of earth= 5.98 x 10^24 ... r= 6.37 x 10^6 M of moon= 7.36 x 10^22 ... r= 1.74 X...
  6. W

    Gravitation - gravitational attraction due to a nearby mountain range

    Homework Statement The gravitational attraction due to a nearby mountain range might be expected to cause a plumb bob to hang at an angle slightly different from the vertical. If a mountain range could be represented by an infinite half-cylinder of radius a and density ρ lying on a flat plane...
  7. W

    Gravitation: launching a craft out of the solar system.

    Homework Statement Let's suppose that we wanted to launch a spacecraft of mass m out of the Solar System. a) If we want to launch the spacecraft directly from Earth, what boost Δv would be required and what direction relative to the Earth's velocity about the Sun would this boost be...
  8. T

    Question about affine connection definition, Weinberg's Gravitation

    page 71 he appears to define the affine connection in terms of derivatives on the locally inertial coordinates with respect to the laboratory coordinates and then the very next page claims that all you need is the affine connection and metric tensor to determine the locally inertial...
  9. Y

    Universal Gravitation homework

    Homework Statement In the not-too-distant future astronauts will travel to Mars to carry out scientific explorations. As part of their mission, it is likely that a "geosynchronous" satelite will be placed above a given point on the Martian equator to facilitate communcations. At what altitude...
  10. T

    Effect of doubling a mass Newton's law of universal gravitation

    Homework Statement Particle A having mass mA is placed at a fixed distance r from particle B which has twice the mass of particle A. Which of the following statements will be true? Select one: a. The magnitude of the force on A will be twice the magnitude of the force on B. b. The...
  11. F

    Moon Earth and Satellite gravitation

    Homework Statement At a certain instant, the earth, the moon, and a stationary 1030kg spacecraft lie at the vertices of an equilateral triangle whose sides are 3.84×10^5km in length. Find the magnitude of the net gravitational force exerted on the spacecraft by the Earth and moon.Homework...
  12. T

    Newton law of universal gravitation

    Homework Statement Having problems on the method of calculating the acceleration due to gravity of the planet. A certain planet has a diameter of 1715 km and a density of 5254 kg/m³. The planet has a moon that orbits every 4.46 earth-days. What is the acceleration due to gravity...
  13. W

    How does the position of the Moon affect gravitational pull and weight on Earth?

    Homework Statement Hello, I need somebody to double check and confirm my answer. I have absolutely no idea what the solution manual is doing. Moon effect. Some people believe that the Moon controls their activities. If the Moon moves from being directly on the opposite side of Earth...
  14. X

    Transforming Newton's Law of Universal Gravitation

    Hello, physicsforums. I'm trying to write a proof for a function involving Newton's law of gravitation, and I seem to be stuck. The function I'm trying to build is a function of time with respect to distance. This is the formula I want to transform. \mathrm{A}=-\frac{GM}{x^{2}} For...
  15. P

    Conservation of Energy and Angular Momentum in a Satellite Breakup

    Hi, Homework Statement A satellite with mass m orbits a planet of mass M in a circular path with radius r and velocity v. Due to some internal technical failure, the satellite breaks into two, similar parts with mass m/2 each. In the satellite's frame of reference, it appears the two parts...
  16. C

    Wheeler's gravitation book exercise

    Homework Statement Has anyone solved the part (d) of 5.6 problem of that book? I am unable to solve it. It asks the reader to prove that the radius ##R## of a rotating cylinder (rotating around its symmetry axis) has to be greater or equal than ##\frac{|S|}{ M } ##, in other words...
  17. H

    Why Does a Balloon Fall Up in an Elevator?

    Imagine you are in an elevator accelerating downwards with acceleration g, holding a balloon (which would fly upwards if left outside). Now if the thread you are holding snaps, what will happen to the balloon? Since the acceleration felt inside the elevator is 0, the balloon should not...
  18. O

    Gravitational Potential Energy and Gravitational Field and Gravitation

    I don't get the difference between these equations: U = \dfrac{-Gm_1m_2}{r} F_g = \dfrac{-Gm_1m_2}{r^2} g = \dfrac{F_g}{m} = \dfrac{GM}{r^2} Also, why are the first two negative? Here's my thinking: The first equation is like U=mgh. Except it's when two masses are very far apart. It...
  19. A

    List of recognized journals in Relativity and Gravitation

    I am very interested to know which peer-reviewed journals are considered seriously by mainstream scientists for articles on SR/GR (even if they are not restricted to SR/GR only). There are a lot of 'peer-reviewed' journals out there which publish on SR/GR, but which are the well regarded ones...
  20. D

    Gravitation between two spheres

    Hello, I'm new here :) I'm stuck on a homework problem, even though it's probably really easy and I'm just being stupid. Homework Statement In outer space, two solid spheres of radius 10.0 cm are held 30.0 cm apart center to center. One has a mass of 20.0 kg while the other has a mass of...
  21. C

    Law of universal Gravitation

    Homework Statement The radius of the Earth is 6400km. A 7200n spacecraft travels away from the earth. what would be the weight of the spacecraft at the following distances from the Earths surface: 6400km, 12800km Homework Equations Fg=mg F=Gm1m2/r^2 The Attempt at a Solution Just...
  22. P

    Potential energy of gravitation

    I was writing a script to help me calculate gravitation and various other things when i noticed i don't know how to calculate this I need to calculate the kinetic energy of an object being pulled towards a second object until they meet knowing only the weight of the objects, the distance of the...
  23. S

    Grade 12 Physics - Circular Motion - Universal Gravitation

    Homework Statement This question is from the Nelson Grade 12 Physics textbook. The force of attraction between masses m1 and m2 is 26N in magnitude. What will the magnitude of the force become if m2 is tripled, and the distance between m2 and m1 is halved? Homework Equations...
  24. B

    Gravitation as varying density of a space-propertime manifold?

    Originally I asked on another thread whether the GR effects on light can be described as light passing through a medium of varying density- so exerting its effects by refraction. A.T. kindly posted the following links: http://www.newscientist.com/article/dn24289#.UlsOR-B3Zmh...
  25. Saitama

    Time period of oscillation and gravitation

    Homework Statement Homework Equations The Attempt at a Solution I really don't know how to start with this problem. The four point masses of mass m oscillate together so I am confused as to how should I begin making the equations. Just a guess, should I write down the expression for potential...
  26. J

    Universal Gravitation Constant - HELP

    Universal Gravitation Constant - HELP! Hello, I'm a little confused... What is the difference between the "Constant of Universal Gravitation" and the "Gravitational Force"? I know that there is a radius between two or more objects like the Earth and the Moon and bla bla bla... But the thing...
  27. P

    Newton's law of universal gravitation

    Homework Statement A star of mass 5 × 10e30 kg is located at ‹ 7 × 10e12, 3 × 10e12, 0 › m. A planet of mass 4 × 10e24 kg is located at ‹ 5 × 10e12, 5 × 10e12, 0 › m and is moving with a velocity of ‹ 0.6 × 10e4, 1.4 × 10e4, 0 › m/s. A. During a time interval of 1x10e6 seconds, what is the...
  28. M

    Scalar gravity -Feynman lectures on gravitation

    "scalar gravity" -Feynman lectures on gravitation Hi all, I'm trying to understand the following claim from Feynman's lectures on gravitation, section 3.1 (p.30 in my edition). He's considering how heating or cooling two clouds of gas would change their mutual gravitational attraction. I...
  29. PsychonautQQ

    Gravitation Problem (Please check my work)

    Homework Statement Two asteroids are traveling side by side, touching each other. They are both spherical and are made of pure iron. What must their diameters be in feet to exert a force of 3 lb's onto each other?Homework Equations V = 4/3*∏*r^3 density of Iron = 7.63*10^3 1 lb = 4.448N 1 foot...
  30. S

    Zero lagrangian and induced gravitation

    Hello, Does anyone know what "induced gravity" is and where can one read (something not too technical) about it? I am trying to understand how a system with zero Lagrangian has something to do with gravity. Could someone explain perhaps? Thanks
  31. ShayanJ

    Gravitation: Experiments Proving Its Scope

    I don't know how famous are Iranian physicists,but anyway.Once I was watching one of the videos of the Reza Mansouri's lectures on GR,it was the first or the second lecture in the series I guess and so he was just talking about general aspects of Gravitation.When he was explaining about the...
  32. W

    Derivation of Newton's Law of Universal Gravitation

    ##F = G \frac{ m_{1} m_{2}}{ r^{2} } ## Where does the formula come from? And why does it work that way? How would it relate to Newton's Second Law? ##F = ma## Using Newton's Second Law, is it possible to get the Law of Universal Gravitation?
  33. N

    Falling object in gravitation field

    I am trying to study the motion of a falling body in the earth’s gravitational field however not assuming a constant acceleration. I want to work out the distance traveled in a given time. We know that  a = \frac{{GM}}{{{r^2}}} Likewise, we can calculate that \begin{array}{l}...
  34. Saitama

    Gravitation - Period of revolution of planet

    Homework Statement A planet of mass ##M## moves around the Sun along an ellipse so that its minimum distance from the Sun is equal to ##r## and the maximum distance is ##R##. Making use of Kepler's laws, find its period of revolution. (Ans: ##\pi \sqrt{(r+R)^3/(2GM)}##) Homework...
  35. B

    Coulomb's Law/Newton's Law of Universal Gravitation (Precalculus?)

    Homework Statement The electric field, E, a distance D away from a charged particle is directly proportional to the size of the charge Q, and inversely proportional to the square of the distance D. If the charge is increased by 40% and the distance is increased by 30%, by what percentage does...
  36. R

    Gravitation as curvature of space vs field theory

    Gravitation is described on one hand as curvature of space in the presence of matter. It is also described as a field acting through gravitons on matter. How can the two views be reconciled?
  37. A

    Does Newton's Law of Gravitation Apply in Outer Space?

    Hello I studied about the Newton law of Gravitation which states that in universe every matter attract each other with a force which is denoted by F= Gm1m2/r^2. But in my view it is only happen within the region of gravity of a matter. but not in the space. please can anybody help me in...
  38. K

    Gravitation in General Relativity.

    Consider a man standing inside lift which is free from all external influences (gravitational or otherwise). Suddenly someone begins to pull the lift with some acceleration. Now if the man releases a ball he sees it falls onto the floor. Since he sees the lift at rest he concludes that there is...
  39. V

    How did Newton discover law of gravitation

    The law of gravitation states force between two point masses m and M is proportional to their product and inversely proportional to the square of distance between them. So I'm just curious to know how did Newton discover this law? What kind of experiments he did to derive this formula? I want...
  40. S

    Where does Gravitation equals zero?

    Homework Statement So a 1kg mass and a 2kg mass are placed 10m away from each other, somewhere in between them the force of gravity cancles out. Where would am object with a mass of m be placed so that it is not affected by either of the 1kg and 2kg masses? Homework Equations Not...
  41. Y

    Planet X Gravitation Question

    "Planet X" Gravitation Question Homework Statement Planet X is a planet that has two spherical moons in circular orbits. The table summarizes the hypothetical data about the moons. Both moons have low axial spin rates. (G=6.67*10-11 Nm2/kg2). Moon A: Mass=4.0*1020 kg. Radius - Data not...
  42. B

    How to Calculate the Mass of Jupiter Using Orbital Data

    Hi guys, I'm not sure if I'm going about this the correct way, but it seems to be the only one that makes sense right now. The problem reads: Io, a satellite of Jupiter, has an orbital period of 1.77 days and an orbital radius of 4.22E5 km. From these data, determine the mass of Jupiter...
  43. D

    A pulsar gravitation question

    A pulsar – a highly magnetized, rotating neutron star – has a radius of 9.98 Km, a mass of 1.98 × 1030 kg, and revolves around itself at a rate of 30.02 times per second. Calculate the nearest distance that a person 1.99 m tall could approach the pulsar without being pulled and torn apart...
  44. B

    Quick Guass's Law of Gravitation Clarification

    Homework Statement The picture attached shows the answer to a sample problem... I don't understand the last step... how does ∇g = C (1/r^2)∂/∂r(r^4) ? where did the r^4 come from and what does the triple dot triangle: "∴" mean? I understand every step except for the last one... thanks...
  45. Q

    Understanding Newtonian Gravitation

    So for a point mass in an enclosed shell, the net force of gravity is zero (similar to electricity in a Faraday cage I presume). However, what happens when that point mass is placed in side the ring of mass m and uniform density. Say the outer shell has radius r and inner shell has radius x, so...
  46. D

    Gravitation equations and expressions - gravitational field strength

    Homework Statement i have 2 questions on my holiday homework that I am not 100% sure on they are: Homework Equations 1) write down an algebraic expression for g at a distance r from the centre of the planet. The planet can be treated as a point mass of magnitude M as its centre AND 2) write...
  47. A

    Trouble with a question in gravitation of MTW

    Homework Statement It is a problem on gravitation of MTW pg 65 excercise 2.5. A particle of rest mass m and 4-momentum is examined by an observer with 4 velocity u. Show E=-p*u under -1,1,1,1 metric Homework Equations Treating c=1, we have u*u=-1 and p=m*u. The Attempt at a...
  48. R

    How Much Less Do You Weigh at the Top of the World Trade Center?

    Homework Statement You weigh 518 N at sidewalk level outside the World Trade Center in New York City. Suppose that you ride from this level to the top of one of its 410 m towers. Ignoring Earth's rotation, how much less would you weigh there (because you are slightly farther from the center of...
  49. O

    Gravitation as answer to whether the Universe is infinite?

    I recently watched a video by SpaceRip on YouTube addressing whether or not the Universe is infinite. They mentioned an example as to why it isn't briefly, but didn't expand on it. I kept thinking that its a good reason and I want your opinion on it. Since Newton's law of universal gravition...
  50. D

    Coulomb's Law/Universal Gravitation for Magnets

    Hey, everyone, I'm new here. I signed up to get an equation that I would really like to find, but I've been searching for a few days and haven't found anything that helped. What I'm wondering is how to find the force between two magnets. Once I have that equation, I'll ask another one that I...
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