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. N

    Single Body Gravitation in a Universe with Only One Planetary Body

    Greetings everyone, I am a first time poster. I suppose that my initial post will be slightly non-scientific. This question would seem to to be related to the question asking "Does some event happen if no one is there to observe the happening?" If the contents of the universe consisted of...
  2. M

    Universal Gravitation and spacecraft

    Homework Statement Very far from Earth (r = infinity), a spacecraft has run out of fuel and its kinetic energy is zero. If only the gravitational force of the Earth were to act on it (i.e., neglect the forces from the sun and other solar system objects), the spacecraft would eventually...
  3. R

    Geostationary Satellite: Height, Equator, Uses

    Homework Statement It is possible to put a satellite into an orbit so that it stays in a fixed position over a point on the Earth's equator (a geostationary or geosynchronous satellite). a) What would the be height of such a satellite above the Earth's surface? b) Why must such a satellite...
  4. S

    Gravitation Near Earth's Surface

    Homework Statement The fastest possible rate of rotation of a planet is that for which the gravitational force on material at the equator just barely proved the centripetal force needed for the rotation. a) show that the corresponding shortest period of rotation is T=(√3π)/(√Gp) where p...
  5. N

    Need help with gravitation problem

    Certain neutron stars (extremely dense stars) are believed to be rotating at about 50 rev/s. If such a star has a radius of 17 km, what must be its minimum mass so that material on its surface remains in place during the rapid rotation? Attempt: M = R³W²/G = (17000³ * (10pi)²) /...
  6. M

    Universal gravitation - radius?

    Using F = G * (m1*m2)/(r2) We know that G = 6.6673x10-11 N*m2/kg2 m1(earth) = 6x1024 kg m2(moon) = 7.4x1022 kg the Earth and moon are an average of 3.9x108m apart would r2 be [3.9x108]2 or [3.9x108 / 2]2? -Thanks!
  7. L

    Solve Equatorial Orbit: 12 Hours, Radius & Speed

    Homework Statement A satellite is to be put into an equatorial orbit with an orbital period of 12 hours. Given: 12 Hours = 12 X 60 X 60 seconds What is the radius? What is the orbital speed? How many times a day will the satellite be over the same point on the equator if the satellite...
  8. C

    How Does Altitude Affect Gravitational Force on an Astronaut Orbiting the Moon?

    An astronaut weighs 99.3 N on the surface of the moon. If the same astronaut orbits the moon at an altitude equal to the moons radius, what gravitational force (in N) does the moon exert on him at this altitude? can anybody get me going in the right direction? thanks
  9. C

    How Does Earth's Gravity Affect a Meteor at 3.61 Times Its Radius?

    When a falling meteor is at a distance above the earth’s surface of 3.61 times the Earth's radius, what is the acceleration of the Earth's gravity in m/s2? (Use the average radius of the Earth in your calculations) can somebody walk me through this one? thanks
  10. Ranku

    Gravitation of heavy particles

    Heavy particles produced in high energy collisions in accelerators are 'hidden' in normal low energy conditions. Might heavy particles manifest only their gravitational mass in normal low energy conditions, even as they remain otherwise 'hidden'? Could dark matter be high-energy heavy...
  11. T

    Distance and gravitation problem.

    Homework Statement A planet has a radius of 500km, and the acceleration due to gravity on the surface is 3.00 m/ s^2. An object is thrown up with an initial velocity of 1000 m/s. What is the maximum height the object will go? (Note: acceleration due to gravity is not constant). So my teacher...
  12. B

    Derivative of Newton's Law of Gravitation

    Homework Statement Newton's Law of Gravitation says that the magnitude (F) of the force exerted by a body of mass (m) on a body of mass (M) is F = (GmM)/(r^2) where G is the gravitational constant and r is the distance between the bodies. Find dF/dr and explain it's meaning. What...
  13. L

    300 Years of Gravitation, Updates?

    Hi, Does anyone know of any recently published books that might bring the discussions in "300 Years of Gravitation" up to date? Thanks Lou
  14. D

    What is the mutual gravitational force between the Moon and the Sun at 1AU?

    Hello! I came across this website on my quest to find an answer to this physics problem. I read a topic that was a similar problem, but it didn't address my question in particular. So now I'm posting my problem specifically, and thank you in advance for any help! Homework Statement a. What is...
  15. J

    Explaining Gravity: Newton's Universal Law and its Proof

    Newton's universal law of gravitation states that every bodies in this universe attracts each other.Was Newton able to explain the reason for this attraction?
  16. S

    Help with Newton's Law of Gravitation

    1. Find the magnitude and direction of the net gravitational force on Mass A due to masses B and C in Figure 6.27. Each mass is 2.00 kg. The figure looks like this: A<----------->(10 cm distance)C<-------------------------->(40 cm distance)B 2.F(g)=G * (m(1)m(2))/(r^2) 3.I'm...
  17. W

    Gravitational Forces and Motion in a System of Four Bodies

    Homework Statement Three uniform spheres are fixed at the positions shown in the figure below. (m1 = 1.0 kg, m2 = 2.0 kg, and d = 0.60 m.) (See attached picture) (a) What are the magnitude and direction of the force on a 0.0250-kg particle placed at P? (b)If the spheres are in deep...
  18. P

    Work done by internal forces in gravitation

    Homework Statement Two bodies of mass M and m separated by a distance 'R' are released and they move towards each other under the influence of gravity . What is the work done by internal forces (considering the 2 bodies as a system) when they are at a distance 'x' apart ? The Attempt at a...
  19. R

    Gravitation Problem, velocity of object on impact

    Homework Statement Object is moving directly toward earth initial V = 2000 m/s distance from center of Earth = 8 X 10^{7} m Determine speed at impact Homework Equations g = \frac{GM}{R^{2}} The Attempt at a Solution I am guessing I'll need to integrate to get velocity, but am not...
  20. Orion1

    Newton's universal law of gravitation

    Derivation of Newton's law of universal gravitation... Non-relativistic Schwarzschild metric: c^2 {d \tau}^{2} = e^{\nu} c^2 dt^2 - e^{\lambda} dr^2 - r^2 d\theta^2 - r^2 \sin^2 \theta d\phi^2 metric identity: g_{00} = e^{\nu} c^2 = \frac{ds^2}{dt^2} Non-relativistic Einstein tensor: G_{11} =...
  21. M

    Metric light distance and gravitation

    I searched because I didn't want to add yet another light speed question. Here's what I've been wondering about. the meter is defined now by meters per second of the speed of light so that a meter is 1/299,729,458 of a sec. since these measurements are based upon a tangent space then the...
  22. B

    Limit of a mountain using universal gravitation

    The height of a mountain is limited by the ability of the atoms at the bottom to sustain the weight of the materials above them. Assuming that the tallest mountains on Earth (at about 8850m) are near this limit, how tall could that mountain be on Mars, with mass .11Me and radius .53 Re? I...
  23. M

    Universal Gravitation: Does It Apply to Every Particle in the Universe?

    Hello all, 1) Does the universal gravitation law apply to every two particles in the universe, no matter how far they are from each other? For instance, is there a gravitation force between the pen in my hand and the farthest particle(or star) in the universe, I don't care how small this force...
  24. B

    Universal gravitation to find the mass of a star

    A distant star has a single plante orbiting at a radius of 3.51X10^11m. The period of the planet's motion around the star is 853 days. What is the mass of the star? The universal gravitational constant is 6.67259X10^-11N m^2/kg^2. Answer in kg. Alrighty. So I tried to find the mass by using...
  25. W

    Circular Motion and Universal Gravitation

    Ok, well my Honors Physics teacher doesn't really like to "teach" but rather give us a list of equations, and then throw a packet at us and tells us to do it. Last semester I got a C and I know that I could do much better if I was actually explained the information and how and when to apply the...
  26. M

    Will a Large Body on Earth's Surface Pull a Smaller Body Towards Itself?

    We know that N = mg , where N is normal reaction and mg is the force with which Earth is pulling a body . Now if i place another body ,lets say 10 ^12 kgs at a distance of 1 m from the body , will the larger body pull the smaller body horizontally towards itself , both these bodies are in...
  27. majormuss

    Law of Gravitation: Calculate Astronaut Weight 6.37 × 106 m Above Earth

    Homework Statement An astronaut weighs 8.00 × 102 Newtons on the surface of Earth. What is the weight of the astronaut 6.37 × 106 meters above the surface of Earth? (1) 0.00 N (3) 1.60 × 103 N (2) 2.00 × 102N (4) 3.20 × 103 N Homework Equations Gm1m2/r^2 The Attempt at a...
  28. P

    Universal Gravitation and Local G

    K, so I don't quite understand how I find a persons weight on a different planet using the said person's weight, the mass of the other planet, and the radius of the planet? So, for example: Max weighs 1000 N on Earth. What would his weight be on a planet with twice the mass of Earth, but...
  29. A

    Newton’s law of universal gravitation

    20. According to Newton’s law of universal gravitation, the force of attraction between any two masses is related directly to the A. velocity of the two masses B. product of the two masses C. distance between the masses D. sum of the masses ( I wasnt sure for this question so I had to...
  30. S

    Ly on gravitation only one part

    urgently need help on gravitation only one part Comets travel around the sun in elliptical orbits with large eccentricities. If a comet has speed 7.0 x 10^4 m/s when at a distance of 2.5 x 10^11 m from the center of the sun, what is its speed when at a distance of 9.0 * 10^10 m? ___________...
  31. J

    Effect of water displacement on gravitation pull between ships

    I calculated, using Newton's formula F = GmM/r^2, that the gravitational attraction between two large, full oil tankers whose sides are touching would be 1,331 lb., given the mass of each ship as 6.5 x 10^8 kg, distance between their CG's of 69 m, G = 6.674 x 10^-11 N(m/kg)^2, and 1 N = 0.2248...
  32. G

    Gravitation and Newton's Synthesis

    Homework Statement The asteroid Icarus, though only a few hundred meters across, orbits the Sun like the other planents. Its period is about 410 d. What is its mean distance from the Sun? Homework Equations Keplers Law T_1 ^2 / T_2 ^2 = S_1 ^3 / S_2 ^3 The Attempt at a Solution...
  33. G

    Gravitation and Newton's Synthesis

    Homework Statement 13) (II) At what distance from the Earth will a spacecraft on the way to the Moon experience zero net force due to these two bodies becasue the Earth and Moon pull with equal and opposite forces? Homework Equations NET F = ma G = 6.67 E-11 (Nm^2)/kg^2 Fg =...
  34. Ranku

    Gravitational waves and gravitation

    Gravitational waves are generated when the mass quadrupole moment changes in time. We also know motion of mass contributes to its gravitation. Does the producing process of gravitational waves, which involves mass in accelerated motion, produce gravitation as well? If so, is it of less, equal...
  35. B

    Divergence of Newton's law of gravitation

    I am studying vector calculus, and I saw the following result in a physics text: g = -\frac{m}{r^3}\vec{r} r^2 = x^2 + y^2 + z^2 \vec{r} = ix + jy +kz \nabla \cdot g = 0 I'm not sure how this was done. Is the product rule used somehow? What happened to the extra power of r...
  36. S

    Gravitation and Motion Equations

    The standard equation for motion is: X= .5 * ax * t^2 + vx * t (+ cx) Y= .5 * ay * t^2 + vy * t (+ cy) ...and of course, you can expand it to include more axes and more orders if you like. Gravitation is a force, but to use it in the motion equation, you need it in acceleration form...
  37. jinksys

    What is your opinon on Gravitation?

    I'm looking for an in-depth and detailed book on relativity. My university has Gravitation on its shelves, what is your opinion of it? I have calc 1, 2, 3 under my belt, and currently in diff eq. Is my math sufficient for the book?
  38. 1

    Universal Gravitation and neutron stars

    Homework Statement Certain neutron stars (extremely dense stars) are believed to be rotating at about 6 rev/s. If such a star has a radius of 15 km, what must be its minimum mass so that material on its surface remains in place during the rapid rotation? G=6.67*10-11m3 kg-1 s-2 Homework...
  39. S

    How Does Wind Force Affect Flagpole Tension?

    Homework Statement Consider the diagram shown below of a flagpole of length, h. The flag is blowing in the wind exerting a force, F, horizontally on the flagpole a distance of 0.8h above the ground. The flagpole itself is hinged at the bottom and is kept upright by a light, inextensible...
  40. G

    Simple Net Gravitation problem

    Here's the question. "Four identical masses of 800 kg each are placed at the corners of a square whose side length is 10.0 cm. What is the net gravitational force on one of the masses due to the other three?" for convenience, I replaced mass with "M" and the distance with "d" So, I...
  41. G

    Universal Gravitation Question

    Homework Statement Given: G = 6.67259 × 10^−11 Nm2/kg2 A small Moon of a planet has an orbital period of 2.08 days and an orbital radius of 5.04 × 10^5 km. From these data, determine the mass of the planet. Answer in units of kg. Homework Equations FG=FC FG=Gm1m2/r^2 FC=mv^2/r The...
  42. P

    Dimensions of Newton's Law of Gravitation and Coloumb's Law

    As we know, Newton's Law of Gravitation is \[ {\mathbf{F}} = \frac{{Gm_1 m_2 }} {{r^2 }} \] and Coulomb's law is \[ {\mathbf{F}} = \frac{{Qq_1 q_2 }} {{r^2 }} \] We know from comparing the dimensions of the first equation that G, the gravitational constant, has the dimension \[ [M^{ - 1}...
  43. P

    Gravitation Charles Misner, Kip Thorne in Polish

    "Gravitation" Charles Misner, Kip Thorne in Polish Hello I know that my english is doesn't very good, sorry for this;) i need to know if the "Gravitation" book written by Charles Misner, Kip Thorne and John Wheeler was translated to polish, or i can buy it in english only? thanks from the...
  44. S

    Calculating Gravitational Force on Multiple Spheres - Physics Homework Problem

    Homework Statement Question: Four 8.0 kg spheres are located at the corners of a square of side 0.50m. Calculate the magnitude and direction of the gravitational force on one sphere due to the other three. Answer from Back of Textbook: 3.3 x10^-8 N toward diagonally opposite sphere...
  45. D

    Gravitation due to acceleration

    The speed at which the Earth is orbiting the sun increases it's mass due to relativity. Does centripetal force also increase the mass of the earth? Is the increase in mass enough to be measured? If so, then, the gravitation must also increase. Wouldn't galaxies also have more or less...
  46. Wellesley

    How Do Gravity and Motion Affect Galaxies Andromeda and the Milky Way?

    Homework Statement The Andromeda galaxy is at a distance of 2.1 X 1022 m from our Galaxy. The mass of Andromeda is 6 X 1041 kg and the mass of our Galaxy is 4 X 1041 kg. (a) Gravity accelerates the galaxies toward each other. As reckoned in an inertial reference frame, what is the...
  47. G

    How Does the Moon's Position Affect Its Gravitational Pull on You?

    Homework Statement Some people believe that the Moon controls their activities. The Moon moves from being directly on the opposite side of Earth from you to be being directly overhead. Assume that the Earth-Moon (center-to-center) distance is 3.82 multiplied by 108 m and Earth's radius is 6.37...
  48. A

    Gravitation among individual particles

    Greetings, I've been pondering something and hope someone here can help me understand this. Simply put, have any experiments confirmed that individual atoms and/or free particles like neutrons, protons, electrons, anti-particles, etc are affected by gravity when they are not constituents of...
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