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.
1. Homework Statement
The radius of the Earth is 6.86 e6 m and the mass of the Earth is 5.98 e24kg. There is a satellite floating in space at a point where the Earth's gravitational acceleration is 3.2 m/s^2.
How far above the Earths surface is the Satellite?
2. Homework Equations...
Homework Statement
The radius of the Earth is 6.86 e6 m and the mass of the Earth is 5.98 e24kg. There is a satellite floating in space at a point where the Earth's gravitational acceleration is 3.2 m/s^2.
How far above the Earth's surface is the satellite?
Homework Equations
Fg =...
So I understand that light "slows down" in a refractive medium. This obviously would increase the density of photons within the medium. Also, from what I understand, photons do contribute slightly to the effects of gravity.
Now, suppose we take two purely theoretical mediums of equal volume...
does energy has gravitational force??
firstly sorry for bad english.
we all know that mass and energy are interconvertables...
does energy has gravitational force??
if not..
then what about law of conversation of mass-energy...
suppose there is mass M..and another mass m does |x|...
Homework Statement
A student proposes to study the gravitational force by suspending 2 100 kg sperical objects at the lower ends of cables from the ceiling of a tall cathedral and measuring the deflection of the cables from the vertical. The 45 m long cables are attatched to the ceiling 1m...
When a falling meteoroid is at a distance above the Earth's surface of 3.00 times the Earth's radius, what is its acceleration due to the Earth's gravitation?
Homework Statement
http://i1046.photobucket.com/albums/b465/laurenwings5/Picture1-1.jpg
Two planets with the same diameter are close to each other, as shown.
One planet has twice the mass as the other planet.
At which locations would both planets’
gravitational force pull on you in the...
Homework Statement
These days I am having the exam for physics 1. Could you please give me the idea, howto simplify the following exercise? You have 2 spaceships of the same shape and they are from the same material. You can have circular or eliptic spaceships for instance. Now you must draw...
Homework Statement
Three uniform spheres are located at the corners of an equilateral triangle. Each side of the triangle has a length of 1.23 m. Two of the spheres have a mass of 2.84 kg each. The third sphere (mass unknown) is released from rest. Considering only the gravitational forces...
Homework Statement
The masses of these particles are mA = 379 kg, mB = 500 kg, and mC = 140 kg. d1 = 0.558 m and d2 = 0.279 m. Calculate the magnitude of the net gravitational force acting on particle A
(Attached Diagram of Particles.)
Homework Equations
F=Gm1m2/r^2...
Homework Statement
A single proton and a single electron are fixed at a distance of 2.8 meters from each other. Find the magnitude of the electric force of attraction between them.
i have the answer to this, it is: 2.93*10^-29
but now it asks: Find the magnitude of the gravitational...
Homework Statement
Suppose Earth were a nonrotating uniform sphere. As a reward for earning the highest lab grade, your physics professor chooses your laboratory team to participate in a gravitational experiment at a deep mine on the equator. This mine has an elevator shaft going 11.8 km...
Homework Statement
Two spheres have equal radius R = 14m and mass m = 1420kg. Their centers are separated a distance 4R. The spheres are released from rest. What will be their speed when they collide? Answer in m/s.
Homework Equations
U(g) = -G*m1*m2/R
The Attempt at a Solution
We...
Homework Statement
Three uniform spheres are located at the corners of an equilateral triangle. each side of the triangle has a length of 1.2m. two of the spheres have a mass of 2.8kg each. the third sphere(mass unknown) is released from rest. considering only the gravitational forces that the...
Homework Statement
Suppose that I hang a 100 gram mass from a spring. When I do this, I find that the srping stretches 10 centimeters.
1)What is the gravitational force on the mass that I hang from the spring? give your answer in Newtons
2)what is the force that the spring is exerting on the...
1. Show that the gravitational force between two planets is quadrupled if the masses of both planets are doubled but the distance between them stays the same.
2. F = G m1m2/d2 ??
3. confused...
1. Calculate the force of gravity between a newborn baby of mass 3 kg and the obstetrician of mass 100 kg, who is 0.5 m from the baby. Which exerts more gravitational force on he baby, Mars or the obstetrician? By how much?
2. F = G m1m2/d2
3. Fg = (Gm1 Gm2) /d^2 =Fg= g ( 3.00...
How Gravitational force differs in different dimensions.
what it would be for four dimensions, two dimensions and one dimension.
Give me the formula of Gravitational force in n dimension space.
If it is described well (complete derivation) in other web site, send me the link.
Assume that you have two protons accelerated in opposite directions within a cyclotron. As they approach the speed of light their masses increase. At what proportion of the speed of light will their gravitational attraction (due to their increased mass) equal their electrostatic repulsion ?
I am wondering if there have been any attempts to theorize gravitational force as a residual type of nuclear force. If protons and neutrons are mainly responsible for the mass of atoms, and the mass of atoms are responsible for the amount of gravity they exert on each other, then it seems like...
Why is it that it's the gravitational force that keeps me on the ground?
Rather than the electrical force?
In general, and by the equation, electrical force is much stronger than the gravitational force!
Hi people,
we all know that the equation for gravitational force is F= (G)(M1)(M2)/R^2
which means that G.Force is inversely proportional to 1/R^2.
I was wondering what if the gravitational force is given as F= (G)(M1)(M2)/R
OR F= (G)(M1)(M2)/R^3 .. (i.e. G.Force is inversely...
Homework Statement
A uniform circular ring of radius R is fixed in place. A particle is placed on the axis of the ring
at a distance much greater than R and allowed to fall towards the ring under the influence of the ring’s gravity. The particle achieves a maximum speed v. The ring is...
The Newtonian gravitational force formula is F=G([m1*m2]/D^2)
Using limits, it has the property that as D goes to zero, F goes to infinity.
Did Einstein fix this? If so, what's his equation for gravitational force? Please accommodate me by defining all terms so I can work with it...
Homework Statement
A spacecraft S of mass m moves in a straight line towards the centre of the earth. The earth
is modeled as a fixed sphere of radius R. When S is at a distance x from the centre of the
earth, the force exerted by the Earth on S is directed towards the centre of the Earth...
A mass M is ring shaped with radius r. A small mass m is placed at a distance x along the ring's axis. Show that the gravitational force on the mass m due to the ring is directed inward along the axis and has magnitude
F= GMmx/(x^2+r^2)^3/2
Hints:
-Think of the ring as made up of many...
I was pondering this thread https://www.physicsforums.com/showthread.php?t=401713" when it occurred to me that we should be be able to answer simple questions like "what does General Relativity predict that the weight of a 1kg mass on the surface of a very massive gravitational body to be?" or...
Homework Statement
Three identical masses of 570 kg each are placed on the x axis. One mass is at x_1 = -10.0 cm, one is at the origin, and one is at x_2 = 43.0 cm.
What is the magnitude of the net gravitational force F_grav on the mass at the origin due to the other two masses?
Take the...
Fig1 shows an arrangement of five particles with masses M1 = 10.0 Kg, M2=M3=M4=M5=2.5 Kg and with r = 4 cm. For what angle (in degrees) of the net gravitational force F on particle 1 due to other particles cancels out.
a)30 b) 45 c) 90 d) 0
(figure is given in the attachment)
This book that I'm reading mentions something where the gravitational pull of the Sun is proportional to that planet's mass/its orbital radius. What is this proportionality constant?
Homework Statement
r = <0,16,0> m
m1 = 69kg
m2 = 6e24kg (earth)
I need to compute the gravitational force on the object (m1) as a vector
Homework Equations
F = GMm/r^2
The Attempt at a Solution
I get 1.08e14, which is incorrect. I have a feeling I am calculating a magnitude instead of a...
Homework Statement
Imagine two spherical planets fixed on the x-axis, one with mass M at the origin, and the other with identical mass M at the position x = +d. (Assume that d is much greater than the radius of either planet.) At what position along the x-axis between the two masses could you...
Homework Statement
The mass of the sun is 332800 times that of the mass of Earth. The mass of neptune is 17 times that of the mass of the Earth. If the average orbital radius (distance from the sun) of neptune is 4503.99 x109 m, calculate the average gravitational force that neptune...
Homework Statement
Consider the system of the Sun, Earth, and Moon, at a moment in time when they happen to be exactly in a line. (Assume that all distances d are measured between the centers of all bodies, and that all distances d are much greater than the radii of all bodies.
M(sun) =...
Homework Statement
The masses and coordinates of three particles are as follows: 20.0 kg, (0.50, 1.00) m; 432.0 kg, (-1.00, -1.00) m; 71.0 kg, (0.00, -0.50) m. What is the gravitational force on a 20.0 kg sphere located at the origin due to the other spheres, magnitude and direction? Give...
I have been studying gravity for a while on an under graduate level. I have an equation that was derived that uses the speed of light to calculate the gravitational force between two objects. No G needed. Do any of you know of any like equations available that I could compare it with or...
Homework Statement
What is the approximate value of the gravitational force between a 61 kg astronaut and a 71000 kg space shuttle when they're 81 m apart?
Homework Equations
F = [G(Mm)/r^2]
The Attempt at a Solution
F = (6.67×10−11 N·m2/kg2)(61 kg)(71,000 kg)÷
(84 m)2 = 48.4 nN...
Homework Statement
Newton's Law of Gravitation states that two bodies with masses m1 and m2 attract each other with a force:
F=\frac{Gm_{1}m_{2}}{r^2}
where r is the distance between the bodies and G is the gravitational constant. If one of the bodies is fixed, find the work needed to...
Is there any experimental difference in gravitational force for a non-observed particle versus an observed particle in a gravitational field? Basically my question is if they fall with the same acceleration?
The observed particle is observed the entire fall, but both the observed and the...
It is supposed that the smallest posible black hole has mass of Planck's mass.
But obviously one nucleon (or an electron) also acts with gravitational force.
If we assume that the smallest possible black hole has really Planck's mass, is here any contradiction that nucleon acts with...
Gravitational force on mass m outside a sphere with mass M is given by F=G\frac{mM}{r^2}, where r is the distance to the center of mass. Gravity inside the sphere surface because of the mass distribution, since only the portion of the sphere mass is inside r contributes to the attraction. If the...
Homework Statement
If there are three objects (in a right triangle formation) with different masses (say x,y,z) (with y being the mass at the 90 degree angle) and different distances between x and y (distance A) and between y and z (distance B), how do you find the gravitational force between...
Homework Statement
A bowling ball (mass = 5.9 kg, radius = 0.11 m) and a billiard ball (mass = 0.36 kg, radius = 0.028 m) may each be treated as uniform spheres. What is the magnitude of the maximum gravitational force that each can exert on the other?
Homework Equations
F=-Gm1m2/r^2...
I completely made this question up because it's related to class and it will help me understand the lesson better and more.
Explain the work of scientists and how they revolutionized scientific thought. Include Max Plank, Einstein and Michelson-Morley. The work doesn't have to be only about...
so the formula for gravitational force is F = Gm1m2/r2 and that can be written as F = Gm1m2r^/r2 (r^ represents a unit vector). now this formula is for 2 point masses. my teacher derived the formula for 2 continuous bodies using a 6 dimensional Riemann sum. he first considered the gravitational...
Homework Statement
1. Write an equation for the gravitational force between two objects that are separated by a distance r
2. Write an equation for the force to mass ratio (acceleration) on a planet with mass M and radius R.
3. What happens to the gravitational force between two...
Homework Statement
what direction do the gravitational force point between a sateellite and eart
Homework Equations
dont think there an equation?
The Attempt at a Solution
can someone explain to me if they know ..
I am with an aircraft squadron and we have a conditional inspection for aircraft that pull an excessive amount of "G's". The inspection is to check significant parts of the aircraft that might crack or buckle under certain amounts of stress. There is an arguemt in the shop about going from a...