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. H

    Deriving Newton's Law of Gravitation: Understanding the Significance

    Newton's Law of Gravitation Derivative Hi, I was wondering if anyone could help me find the derivative of Newton's Law of gravitation [F=(GmM)/r^2] and what it means? What does the minus sign indicate? I'm kind of confused on the subject at hand and hopefully someone can help out. Thanks
  2. U

    Reading on Newton's law of universal gravitation

    i was doing some reading on Newton's law of universal gravitation. the equation is given as mass of 2 objects divided by distances square and then multiply by gravitation constant. using 50kg and 100 kg mass and a distance of 2 metres i get a value 8.34e-8 N this a small force, which sets me...
  3. Amith2006

    Potential energy and gravitation

    Sir, A body is projected in space from the earth’s surface with escape velocity. It is said that at the time of projection its total energy is Kinetic. Is it true? If so, doesn’t it have gravitational P.E at the time of projection?
  4. MathematicalPhysicist

    Exploring Gravitation: A Review of Kip Thorne and John Wheeler's Book

    i wonder, the book by kip thorne and john wheeler called gravitation, is it a technical textbook on gr? and on a scale of 1-5 (1-easy 5 extremely hard) how would you rate this book? are there any other challenging textbooks on GR?
  5. V

    Prove Uniform Spherical Shell Mass Gravitational Field Intensity

    Please help me prove - A uniform spherical shell mass is cut into two pieces parallel to one of Symmetry axis. Prove that the gravitational field intensity due to the mass at the centre of the cross sectional plane parrallel to the symmetry axis is same for both the parts.
  6. E

    Neutron in gravitation field

    The situation involves a neutron in a constant gravitational field (g=9.8). I need to find the energies of photons that transition to the excited state. I solved the Schrodinger equation by doing a variable transformation using Airy functions. To fully solve, however, I need to find the roots...
  7. M

    CM: Gravitation and Force Center

    I can't seem to figure this one out. A particle at rest is attracted to a center of force by the relation F=-mk^2/x^3 what is the time it takes for the particle to get to the force center from a distance d in terms of d and k? I can't seem to find any equations that will help me out on...
  8. E

    Relativity, Gravitation, and Cosmology

    Hi all, I'm going to spend my summer doing some self-study in the subjects which I'll be covering in the future and I think it'd be a great time to dive into relativity. I've had some education in special relativity but I've never dealt with general relativity. I'd like a good, thorough...
  9. N

    Circular Motion and Gravitation questions

    Hey guys, I have a few Circular Motion and Gravitation questions that I have almost no idea how to do: 1. The orbital radius of Mars around the Sun is 1.52 times that of Earth's orbital radius (1.50 X 10^11m). In Earth years, what is the period of revolution for Mars in this orbit? (I need to...
  10. M

    Gravitational Acceleration near a Massive Black Hole

    The radius Rhand mass Mh of a black hole are related by Rh = 2GMh/c^2, where c is the speed of light. Assume that the gravitational acceleration agof an object at a distance Ro = 1.001Rh from the center of a black hole is given by Ag = G M / r^2 (it is, for large black holes). (a) What is ag at...
  11. J

    Law of Universal Gravitation

    Hello all, I was wondering if someone could please help me with a problem. It is regarding the law of universal gravitation, this time using conservation of mechanical energy. We know that F = GMm/R^2 **If a projectile is launched from Earth with a speed equal to the escape speed, how...
  12. P

    How Do You Calculate the Maximum Height of a Projectile Shot Upwards?

    A projectile is shot straight up from the Earth's surface at a speed of 6000 km/hr.How high does it go? i started out by converting km/hr to m/s so i got 6000km/hr= 1666.666666m/s then i used this formula: v^2=2gy and i got: y= 141723 m= 141.723km (i just got lucky that my answer...
  13. R

    On the Dirac equation in a gravitation field

    Let's discuss the Dirac equation in a gravitation field. I suggest to begin with the following article: http://arxiv.org/abs/math.DG/0603367" It is rather simple. Your comments would be helpful for me.
  14. C

    Circular motion and gravitation question

    Q:Suppose that a binary star system consists of two stars of equal mass. They are observed to be separated by 340 million kilometers and take 5.0 Earth years to orbit about a point midway between them. What is the mass of each?
  15. C

    Ciruclar motion and gravitation question

    Q:Two objects attract each other gravitationally with a force of 3.3 10-10 N when they are 0.25 m apart. Their total mass is 4.0 kg. Find their individual masses. Now my professor only told us to use F= Gm1m2/r2 Force in this case would be the 3.3e-10 Newtons, the radius squared = 0.0625 m...
  16. V

    Argument with a co-worker about gravitation

    I'm having an argument with a co-worker about gravitation and need some "enlightened" advice. The argument is whether or not two objects dropped at the same time would impact the surface at EXACTLY the same time or not. I already presented the proof that when combining the law of...
  17. S

    Newton's Law of Gravitation problem

    In Figure 13-34, a square of edge length 22.0 cm is formed by four spheres of masses m1 = 7.00 g, m2 = 3.50 g, m3 = 1.50 g, and m4 = 7.00 g. In unit-vector notation, what is the net gravitational force from them on a central sphere with mass m5 = 2.30 g? Okay this is what I did so far...
  18. D

    What is the relationship between mass and velocity in orbits?

    Satellite A has a mass of 1000kg. Satellite B has a mass of 2000kg. BOth are in orbit 250km above the surface of the earth. Satellite A will have an orbital speed that is ____ satellite B. 1. the same as. 2. four times that of. 3. twice that of. Not really sure on this. I originally said...
  19. B

    How High Could an Athlete Jump on Mars Compared to Earth?

    Hello, please Can I have some guidance for the problem: The heigth achieved in a jump is determined by the initial vertical velocity that a jumper is able to achieve. Assuming that this is a fixed number, how high can an athlete jump on Mars if she can clear 1.85m on earth? Thank you B
  20. B

    Gravitation deep hole physics problem

    Hi I am stuck with this problem: A deep hole in Earth reaches a depth of one half of Earth's radius. How much work is done when a 1-kg mass is slowly lifted from the bottom of the hole to Earth's surface? I use the expression of the gravitation force, F=GMm/R3 so the work would be: integral...
  21. D

    Calculating Escape Speed and Orbital Energy in Universal Gravitation

    1.) Consider attached image (P13.41). Determine the escape speed for a rocket on the far side of Ganymede. The escape speed from Ganymede without Jupiters influence would be \sqrt{\frac{2GM_{gan.}}{r_{gan.}}}. Now the ship will have a velocity equal to that of the escape velocity needed to...
  22. H

    How Do I Calculate Gravitational Force Between Two Objects?

    Can anyone help me with this problem? Approximate the gravitational force of attraction between a 46.0 kg girl and a 52.0 kg boy if they are sitting 3.0 m apart in physics class. Since the formula is [(m1m2/r^2)]G=Fg. So I first tried [(46+52)/3^2]6.67e-11 and I got 7.27e-10. Then when...
  23. M

    Gravitation person weight problem

    here's the question (from mastering physics): "The weight of a person at the equator, as determined by a spring balance, is 750 N. By how much does this differ from the true force of gravitational attraction at the same point? Assume that the Earth is spherically symmetric." Now, i would...
  24. E

    How Far Does the Moon Fall Toward Earth in One Second?

    The center-to-center distance between Earth and Moon is 384400 km. The Moon completes an orbit in 27.3 days. (b) If gravity were switched off, the Moon would move along a straight line tangent to its orbit, as described by Newton's first law. In its actual orbit in 1.00 s, how far does the Moon...
  25. S

    Gravitation: Looks easy at first

    Hi, all. I have a problem I wish to solve. It's not from a textbook, I thought of it myself. If two masses of 1 kilogram each are 1 metre apart in space, how long will it take for them to reach each other from their attractive gravitational forces? Remember that the force (and hence the...
  26. Loren Booda

    Exploring the Role of Gravitation in the Evolution of Our Universe

    How would our universe have evolved without gravitation, and how so would the universe appear at present? Does such a situation somehow differentiate the possible perspectives of spacetime with or without compactified dimensions?
  27. K

    Finding Aphelion Distance After Satellite Explosion

    Hi, how does one go about finding the aphelion distance when all the information you've got is the satellite's velocity at one point in time?? Here's the Q: 1) first you're to find an expression for the velocity of a satellite in circular orbit about planet of mass M. The orbit radius = r...
  28. T

    Universal Gravitation on escape velocity

    On dealing with Universal Gravitation topic, I came across this question: what is the min speed, relative to the sun, necessary for a spacecraft to escape the solar system if it starts at the Earth's orbit? My working: v=sqrt(2GM/R), where G=universal constant, R= distance between Earth...
  29. A

    Universal gravitation and inclines

    There's an inclined plane with theta unknown. The frictional coefficient is 0. m1 is higher on the inclined plane than m2. m1 = 1680kg m2 = 152kg Distance between the two: 11mm At what angle of inclination will the 2nd mass begin to slide down the plane? Normally (without 2 objects)...
  30. J

    Gravitation: Find Masses for 2 Objects, 4 kg Total

    I know they involve F= G(m1 x m2)/r^2 1) Two objects attract one another gravitationally, with a force of 2.5 x 10^-10 N when they are .25 m apart. Their total mass is 4.0 kg. Find the individual masses.
  31. S

    Physics problems Classical Mechanics and Gravitation

    Hi i was wondering if anyone could help me with the following problems please,I'm a bit confused! Q1. A 9.4 kg projectile is fired vertically upwards. Air drag dissipates 68 kJ during its ascent. How much higher would it have gone were air drag negligible? Here I used the formula mgh and...
  32. J

    Universal Gravitation questions

    1) if something is 5 Earth radii above the Earth's surface and you know its mass, how would you figure out force of gravity on it? 2)and given the radius and mass of a planet how would you be able to figure out the acceleration due to gravity on it?
  33. J

    Solving a Gravitation Problem: Finding the Size of a Solid Gold Sphere

    Here's the problem I've been working on. Gold has density of 19.3x103 kg/m3. How big would a solid gold sphere have to be if the acceleration due to gravity at its surface is to be 9.87 m/s2? (Check your answer against the radius of the Earth, which has a mean density of 5.5x103 kg/m3.)...
  34. K

    Relation between the moon's gravitation and the level of ocean

    Will anybody let me know what is the relation between the moon's gravitation and the level of ocean in earth?As far I know that during newmoon and full moon day the level of ocean increases.
  35. D

    Calculating the Height for Half Weight at Earth's Surface

    At what height above the Earth's surface would an object's weight be one half the value at the surface? W = m(2)g = Gm(1)(m2) / r^2 is the formula I am using. I found 1/2 weight to be 2.92825 x 10^25 Then I found m(1) to be 1/2gxW (not sure if I should've used 1/2g here or not) and then...
  36. S

    Dimensional analysis universal gravitation

    Firstly, I admit that my math skills are fairly rusty. I also admit that this is a homework problem. It is not to be turned in for a grade however. The problem is to determine the SI units of G in the following equation: F = GMm/r^2 (where F is force (mass *...
  37. S

    Orbit smulation and speed of gravitation

    Just a question from a begginer : In the simulation of a solar or (galactic) system, when you calculate the position of a planet P at time t+dt, you only know the position of the other bodies in the system at time t, so you calculate the distance d between P and any other body Q at time t...
  38. Q

    Earth's rotation and gravitation

    I don't understand why the physics book defines the centripetal force and gravitational force acting in different directions. N - m*(acceleration of gravity) = -m*r*w^2 N = m*(acceleration of gravity) - m*r*w^2 Why don't the acceleration of...
  39. B

    What is Universal Gravitation?

    :confused: Hello I need some help understanding Newtons universal gravitation. I read on a site that an objects Force on Earth is its mass x gravity(on earth) hence MG (like F=MA). Then they say using Newtons inverse square law that the same object at a distance of the moon would have the...
  40. Ε

    The Interpretation of Theory (In the Context of Gravitation)

    About a week back I posted in the strings forum asking about how current theories interpret gravitation and how they differ from general relativity. But the main subject of the thread wasn't how physical theories should be interpreted, so I'd like to pose that question again, in greater detail...
  41. P

    What do we know about gravitation?

    i am inquiring of just what the topic suggests... anything that anybody knows about gravitation...theories, equations, its relations to qm and anything else...post if you know something about this subject other than that it makes stuff attract to each other.
  42. P

    Gravitation, and wavelike particles

    this seems like a foolish question to myself, though i have never though to ask it, and decide to do so now on the off chance it has any relevancy. how would waves of gravitation affect particulate matter, would it cause this matter to bahave in a wave like manner as gravity does itself?
  43. K

    Circular Motion and Gravitation HELP

    Hey there! Completely new here but thought someone could help. I have this problem where I don't even know where to start from. The problem: (Picture of loop with a man in a roller coaster cart hanging upside down from furthest top point of circle) A man in the roller coaster is...
  44. P

    Isaac Newton's Theory of Gravitation

    Does anyone know the proof for Newton's law of gravity, because i looked in a lot of books for this proof but i didn't find it anywhere! Slowly I'm getting a little cautious about what we're easily accepting in school! Thanks for your reply.
  45. B

    Why doesn't the moon fall to Earth?

    Hello I'm a beginner in physics and came across an explanation for Gravitation, it explains it using the moons orbit around Earth as an example, they also say firing a projectile at a certain velocity can put that projectile in orbit, but they confused me with that one, can anyone help? this is...
  46. D

    Gravitation Queries: Explaining Newton's Meaning

    I was reading a book and it said that: Can someone please explain me what did Newton mean by " we can send signals at infinite speed, and I don't find any relation between the instantaneous nature of G.Forces and "sending signals at infinite speed"... So what did Newton exactly mean?
  47. J

    Is GR a wrong apparoach to gravitation?

    Some time ago I began my research in gravitation. Now I am actively working in GR and quantum gravity. I am sorry to say this but when I more study it, more I think that GR is not correct after all. For some criticism to GR, you can see the last part of my "paper" on string theory sited in...
  48. G

    How Do You Solve These Challenging Gravitation Problems?

    Okay, I've looked over all of my formulas numerous times and I just can't figure out what to do for these two: In terms of Earth radii, how far from the center of the Earth would you have to travel in order to cut your weight from 900N to 300N? The gravitational force between two...
  49. N

    Solving the Gravitation Doubt: What Happens When Force Disappears?

    Gravitation doubt... This is supposedly a simple conceptual problem but I still have a doubt about this: A satellite is orbitting the Earth with a constant speed when suddenly the force of gravitation disappears(no explanation as to how that happened!). Then the satellite will: a)...
  50. turbo

    Gravitation, inertia, and the vacuum

    Here is a paper of special interest to me. The authors model inertia and gravitation as effects of the EM fields. http://xxx.lanl.gov/PS_cache/gr-qc/pdf/0504/0504061.pdf Unfortunately, they still model the ZPE fields as if they were pretty flat. This is not logical, because if the ZPE...
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