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. lucphysics

    Help with this problem from Mastering Physics (Gravitation)

    Homework Statement If a satellite is in a sufficiently low orbit, it will encounter air drag from the Earth's atmosphere. Since air drag does negative work (the force of air drag is directed opposite the motion), the mechanical energy will decrease. If E decreases (becomes more negative), the...
  2. Y

    Comparing Total Energy of Satellites in Different Orbits: Magnitude vs. Sign?

    Homework Statement If two satellites A and B are orbiting the Earth out of which A is closer to the Earth then the total energy of which Earth plus satellite system is lesser?Homework EquationsThe Attempt at a Solution Should I consider only the magnitude while comparing using the formula total...
  3. Y

    Two satellites A and B move around earth in a circular orbit

    Two satellites A and B move around Earth in a circular orbit. The mass of B is twice the mass of A then I agree that kinetic energy of B is greater than that of A. But what I couldn't understand was that why are speeds of A and B equal as given in the book. Shouldn't they differ according to the...
  4. N

    Can Gravitational Binding Energy Cause Negative Effective Mass?

    Hello, in nuclear physics we have a mass defect by the binding energy of the nuclides. A similar effect appears in the theory of gravitation induced by the gravitational binding energy, which reduces the mass. But for example at the ISCO of an Kerr black hole we have binding energys about...
  5. A

    Motion of parallel-incoming particles in gravitational field

    Question: There is a large parallel beam of incoming particles with mass m and uniform velocity v0 (v0≪c) in the presence of a gravitational field of a (spherical) planet with mass M and radius R. (without GR) The question is what fraction of the particles will eventually arrive at the planet...
  6. SteveManPhy076

    Could floating cities become a reality using rocket boosters?

    Could there perhaps ever be floating cities? If we could get the type of technology that sends rockets into space, and have the boosters running at a constant and equal velocity inversely, could this cause anything to levitate? If so, would this even be habitable? Considering that the fumes...
  7. P

    Show the gravitional field is conservative

    In my calculus textbook (section on vector calc) it is showing that the gravitational field is conservative. I followed fine except for the first part, defining the scalar function f. Showing the field is conservative went something like this: f(x,y,z) = MM'G/\sqrt{x^2+y^2+z^2}...
  8. (Ron)^2=-1

    Two masses attached by a rod orbiting around the Earth

    Hello guys! I hope you can give me a hand with this one Homework Statement A satellite consisting of two masses attached by a rigid-massless rod of length L, are orbiting around the Earth at a distance R from the centre of the earth. During the entire movement the rod stays oriented in the...
  9. Phys_Boi

    Understanding Gravity's Impact on Light: Exploring Momentum and Force

    So light has momentum: \vec p_{light} If Universal Gravitation tells us: \vec F = \frac{Gm_1m_2}{r^2} How do we get the force on light from the more massive object?... How do we know how much light will be shifted?
  10. CassiopeiaA

    Gravitational Waves: What Happens to a Body Experiencing One?

    What happens to a body experiencing a gravitational wave? Suppose I put a ball in the path of a GR wave. As the wave passes through it, the space will expand and contract. This means that the space between every point in the ball should expand and contract. But what will be the reference point I...
  11. J

    Gravitational Effect of Uniform Mass on Earth's Surface

    Hey guys! What would be the gravitational effect of Earth on it's surface, if somehow the density of mass was uniform and equal to 2/5 of the real value? Assuming that the size e shape os the planet doesn't change.
  12. LeoPedranjo

    Gravitational Field: What Would Happen?

    Hi guys! What would happen to objects on the Earth's surface if it SLOWLY stopped spinning and Earth's gravitational field was kept as always. Thx
  13. Alettix

    Velocity when falling into planet

    Homework Statement Hi! I would need a little help with the following problem: We have found a new planet with density ρ and radius R, and drill a hole to its center. Then accidentally, one person falls into the hole. What is his velocity when reaching the bottom (the center of the planet)...
  14. F

    Force on Space Ship: Mag to Nearest MN

    Homework Statement IF D = 1954 meters and d = -92 meters, to the nearest MN what is the magnitude of the force on the space ship Homework Equations F=(Gmass) / r^2 F=(G x mass asteroid) / (D/2)^2 ΣFx= F asteroidright - F asteroidleft = ma The Attempt at a Solution F asteroid right = F...
  15. RMM

    How much energy can be generated by a swinging pendulum 60 kg

    I would like to make a pendulum go on moving by a permanent magnet that pushes the pendulum back with a force that is big enough to make it swing back with the same height. Can anyone tell me how much energy could be generated by a pendulum with height is 2 meter and 60 kg, swinging 90 degrees...
  16. Einstein's Cat

    How Is m1 Isolated in Newton's Law of Gravitation Equation?

    Newton's equation is F= G(m1•m2)/r squared What is this equation to the subject of m1, please? Thank you very much for your help!
  17. D

    What angle does the hanging mass make?

    Homework Statement At a latitude of 50° north a mass is hanged by a massless string. By the means of an angle how much does the mass deviate from the Earth's radius due to rotation of the earth? Consider the Earth as a spherical body. Homework Equations Fcp=mv^2/r w=dθ/dt v=wr The Attempt at a...
  18. S

    Evaluate Magnitude of Gravitation at the Surface of a Planet

    1. The trajectory of a rock thrown from a height with an initial speed of 20.9 m/s is shown in the figure below. Evaluate the magnitude of the gravitational field at the surface of the planet. The planet has no atmosphere...
  19. A

    Genesis of the pendulum formula

    Can you give me a link where I can find a simple explanation of the formula of the period of a pendulum? As far as I know, if the angle is 3°, the tension on the rope is g/ cos 3 and the horizontal T = 9,8 * tan 3 (0.0524) = 0.5 N. Is this the only force to consider? Can you tell me how to...
  20. Sphinx

    Gravitation vs relativity

    Hello folks! why a formula of type K/r^2 for the gravitationnal interaction is incompatible with the principle of special relativity ? ( the electric field is also defined with the same kind of relations)
  21. vinicius0197

    Deducing Kepler's second law from Newton's laws?

    I've searched a little bit and found that I can derive kepler's third law from Newton's law of gravitation. That's okay. But I want to deduce kepler's second law too: "An imaginary line joining a planet and the sun sweeps out an equal area of space in equal amounts of time". I know it's possible...
  22. vinicius0197

    Change in mechanical energy (gravitation)

    I got a little bit confused while studying gravitational potential energy, particularly the expression for long distances: (-GMm/r). An exercise asks me for the velocity, period and radial acceleration for a 1000kg satellite that I wish to put into orbit. That's okay. But after that, I'm...
  23. M

    Gravitation and Gravitational Fields

    Homework Statement A satellite is designed to orbit Earth at an altitude above its surface that will place it in a gravitational field with a strength of 4.5 N/kg. a) Calculate the distance above the surface of Earth at which the satellite must orbit b) Assuming the orbit is circular...
  24. Isaac0427

    Newtonian gravitation as a vector

    Hi guys! So I am a little congused about Newtonian gravitation. I understand the equation to get a scalar for the strength of gravity, but when I plugged it into a vector field calculator (with random values of m and M), all the vectors only pointed in one way. I do understand that r-hat could...
  25. T

    Calculating Difference in Gravity at Different Distances from Earth's Surface

    Homework Statement at what distance above the Earth surface and at what depth below the Earth surface,is the acceleration due to gravity less by 10% of its value at surface? R=6400 km Homework EquationsThe Attempt at a Solution g'/g = (1- 2h)/R
  26. P

    Gravitation problem -- Binary star system

    Homework Statement Homework EquationsThe Attempt at a Solution the solution says to equate the moments about C or equate the centripetal forces but the moments, they used M1R1 = M2R2 how does the above represent the moment, and why is the moment even equal?similarly, why is the centripetal...
  27. olgerm

    Can an experiment demonstrate the existence of a gravitomagnetic field?

    I have thought about an experiment which to demostrate gravitomagntism: spinning massive cylinder creates gravitomagnetic field above it. Oscillating pendulum above the cylinder departs from its trajectory because of "gravito-Lorents" force. To calculate magnetic force above the cylinder I use...
  28. H

    Question about universal gravitation

    Homework Statement A piece of an empty rocket booster fuel tank (mass 45 kg) is ejected from a rocket that is 2100 km above the Earth's surface. It is traveling upwards at 4.5km/s at this time. a) what is the total energy of the booster at this time? b) Will it return to earth? Homework...
  29. L

    Gravitation - Changing Orbit Dynamics

    Homework Statement A spaceship is in a circular orbit of radius ##r_0## about a planet of mass M. A brief but intense firing of its engine in the forward direction decreases the spaceship's speed by 50%. This causes the spaceship to move into an elliptical orbit. a) What is the spaceship's...
  30. S

    Gravitation and Decoherence : New Scientist Article

    It says here that time dilation due to gravity can cause decoherence: http://www.newscientist.com/article/dn27735-Earth's-gravity-may-force-us-to-do-quantum-experiments-in-space.html But.. wouldn't the effect of time dilation be more like a modification of the expected unitary evolution, so...
  31. Hansa

    How did Kepler derive his laws WITHOUT law of gravitation?

    How did Kepler derive his laws of Planetary Motion without knowing about Newton's law of gravitation? Specifically, the first law of planetary motion which says that planets follow elliptical paths - how did he figure that out without the knowledge of the gravitational pull of the sun? Was it...
  32. Destroxia

    Gravitation, 2 objects of same properties

    Okay so I'm under the understanding that the way gravitation works is that each object warps the space around itself, and essentially objects caught in the warping are "falling" towards the object with the bigger warp in the center. So my question is, how do objects that are complete clones of...
  33. J

    Find Gravitational & Centripetal Forces on Mass in Rotating Sphere

    Homework Statement There's a sphere with the mass of the Earth and same radius.It rotates at constant speed. It hhas the period of the earth. a mass of a kg sits on the surface. 1) find grav force on mass 2) find centripetal force on mass 3) find the difference in magnitude between them 4)...
  34. robphy

    Penn State: General Relativity Centennial Stream Jun 7-12

    This week (Jun 7-12, 2015) at Penn State: General Relativity and Gravitation: A Centennial Perspective http://event.gravity.psu.edu/index.shtml There will be a live stream of the plenary sessions. For the updated schedule and link to the streams, consult...
  35. R

    Finding thing due to gravitation

    Homework Statement Assume that the orbital radius of the Earth decreases from R to R-ΔR due to air drag, provided the change is very small compared to the radius of earth. Then what is change in orbital velocity, change in kinetic energy, change in potential energy and work done by air...
  36. moenste

    Mechanics. Gravitation and gravity

    Homework Statement The average orbital radii about the Sun of the Earth and Mars are 1.5*11^11 m and 2.3*11^11 m respectively. How many (Earth) years does it take Mars to complete its orbit? Answer: 1.9 years. Homework Equations F = G * ((m1*m2) / r^2) F = m*(w^2)*r T^2 = (4Pi^2 / G*m)*r^3; m...
  37. R

    Gravitational Force and Density on a Planet with a Digging Experiment

    Homework Statement A planet of radius R = (radius of earth)/10 has the same mass density as earth. Scientists dig a well of depth R/5 on it and lower a wire of the same length and of linear mass density 10-3 kgm-1 into it. If the wire is not touching anywhere , the force applied at the top of...
  38. AakashPandita

    Question on gravitation and rotation of the Earth

    Homework Statement A body is suspended on a spring balance in a ship sailing along the equator with a speed ## v' ## . If ## \omega ## is the angular speed of the Earth and ## \omega_0 ## is the scale reading when the ship is at rest , the scale reading when the ship is sailing, will be very...
  39. mooncrater

    Gravitation attraction of inner portion problem

    Homework Statement While solving a question on gravitation I had to consider a very thin spherical layer of a uniformly dense sphere. It's written in the solution that : "Then the considered layer is attracted to the part of the sphere lying within it (outer part doesn't act on the layer)...
  40. Caneholder123

    Keplerian motion in 4 dimensions

    This is the link to the relevant paper. I have to show that vector (t', x', y', z') lies on the sphere. But for that to be, V^2 has to be 1 according to the equation in the introductory part of the section 2. That, by definition, means that E=-m/2. What does that mean, and why is this solution...
  41. mooncrater

    Newtonian Gravitation and stuff

    Homework Statement The question says that : A planet of mass ##m## moves along an ellipse around the sun so that its maximum and minimum distances from the sun are equal to ##r_1## and ##r_2## respectively. Find the angular momentum ##M## of this planet relative to the centre of the sun...
  42. SpacemanRich

    Gravitational Force Problem - Help

    Homework Statement As a moon follows it's orbit around a planet, the maximum gravitational force exerted on the moon by the planet exceeds the minimum gravitational force by 11%. Find the ratio rmax / rmin, where rmax is the moon's maximum distance from the center of the planet and rmin is...
  43. Calpalned

    Why does Newton's law of gravitation involve a cube on the bottom?

    1. The problem statement, all variables and given/known according to my calculus III textbook, the gravitational force acting on an object at ##x = <x,y,z>## is ##F(x)=-\frac{mMG}{|x|^3} x ##. What's the point of having a cube on the bottom. Why shouldn't I memorize it as...
  44. T

    Gravitational Force on a Particle in Jupiter's Core

    Homework Statement Jupiter has a core of liquid metallic hydrogen, with uniform density $\rho_c$, with radius $R_c$. This is surrounded by a gaseous cloud $R_g$, where $R_g>R_c$. Assume the cloud is of uniform density $\rho_g$. The problem also specifies that we are to assume both regions of...
  45. O

    Speed through the Center of the Earth

    Homework Statement Suppose we had a straight tunnel, through Earth's center, to a point on the opposite side of the planet, and used it to deliver mail to the other side. With what speed would our packages pass through Earth's center. Homework Equations ag = (GM)/R2 Mins = (4/3)πR3*ρ The...
  46. O

    Understanding the Period of a Pendulum: How is T = 2pi * sqrt(L/g) Derived?

    Homework Statement Prove the equation: T = 2 pi * sqrt(L/g), then determine the period of a "seconds pendulum" (period = 2 sec on Earth) on the surface of the moon. Homework Equations T = 2pi * r/v T = 2pi/ω ar = rω2 The Attempt at a Solution Do you assume ar is ag? T = 2pi/ω = 2 * pi...
  47. AdityaDev

    Why Does the Reduced Mass Concept Yield a Positive Total Energy?

    According to the concept: when a planet revolves around a star, and when both the bodies move in circular orbits due to the interaction between each other, both the bodies can be replaced by a single body of mass ##\mu## revolving in a circular orbit of radius equal to the distance between both...
  48. M

    Universal Law of Gravitation problem

    Homework Statement The Earth has a mass of 5.98 x 1024 kg and the moon has a mass of 7.35 x 1024 kg. The distance from the centre of the Moon to the centre of the Earth is 3.84 x 108 m. A rocket with a total mass of 1200 kg is 3.0 x 108 m from the centre of the Earth and directly in between the...
  49. GiantSheeps

    How Does Position Affect Gravitational Force Between Three Objects?

    Homework Statement PART 1: Objects with masses of 125 kg and 548 kg are separated by 0.385 m. A 63.5 kg mass is placed midway between them. Find the magnitude of the net gravitational force exerted by the two larger masses on the 63.5 kg mass. The value of the universal gravitational constant...
  50. B

    Coulomb's law vs. Newton's law of gravitation?

    What would be the easiest way to describe the similarities and differences between the two laws, other than the fact that their formulas are built similarly and they use different measurements. Any input would be great; I am currently having a brain block! Coulombs Law:F=K (q1*q2)/r^2 Newtons...
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