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.
Homework Statement
Homework Equations
F=ma
F=Gm1m2/r2
Gauss' Law?
The Attempt at a Solution
I'm not sure if I should be using Gauss' Law for this question, because I've never heard of it or learned about it. I'm currently taking multi-variable calculus (gradients, vectors, etc.). From what I...
Homework Statement
14.102 A comet at its closest approach is 125 x 106 km from the center of the sun
(between the orbits of the Earth and Venus), where its speed is 45.5 km/s. (a) Show that the
comet has an elliptical orbit around the sun. (b) Determine the period of the orbit in years
(1 year...
Homework Statement
14.101 The orbit of Phobos, a Martian moon, has an eccentricity of 0.018 and a
major semiaxis of length 9380 km. Determine the orbital period of Phobos
Homework EquationsThe Attempt at a Solution
Can you check my solution?
Homework Statement
14.100 Calculate the maximum and minimum distances in kilometres between
the centers of the Earth and moon, taking the eccentricity of the moon's orbit into
account. Use the data given in Prob. 14.99
Homework EquationsThe Attempt at a Solution
Can you check my solution...
Homework Statement
14.99 Assuming that the orbit of the moon around the Earth is a circle (its
eccentricity is actually 0.055), and knowing that the period of the orbit is 27.3
days, compute the distance in kilometres between the centers of the Earth and moon.
Homework EquationsThe Attempt at...
Homework Statement
The Earth has a mass of 5.98 x 1024 kg and the moon has a mass of 7.35 x 1022 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...
Find the Force of Gravitation between two Uniform Rods of Mass M and Length L.
I heard my prof say that we have to do double integration to solve this.
Please explain the above step and step with Diagram
Can we experimentally measure the very weak gravitational force between two objects just like we can detect magnetic field lines by a deflecting compass.
Homework Statement
At what rate is the gravitational force doing work on a 2.0 kg projectile at an instant when the velocity of the projectile is 4.0 m/s directed 30 degrees above the horizontal.
the answer is -39 W but i need help on why!
Homework Equations
P = W/T
Power = Work*V...
Sorry if something is wrong... this is my first ever post
1. Homework Statement
The Question:
In one dimension, the magnitude of the gravitational force of attraction between a particle of mass M1, and one of mass M2 is given by:
F(r)=GM1M2/r^2
Where G is a constant and x is the distance...
I am sure this question includes multiple mistakes, so please bear with me.
Gravity is force that is capable of doing work (moving objects over a distance). So under some circumstances, force of gravity is a form of energy or potential energy. How much gravitational energy/potential energy...
Homework Statement
4 10kg objects are located at the corners of a rectangle sides 2 meters and 1 meter. Calculate the magnitude of gravitational force on 1 due to the other 3.
(Same sort of idea)
3 1kg objects are located at the corners of an equilateral triangle of side length 1 meter...
Homework Statement
I have a particle of mass m. The particle is moving in direction of axis z because of the gravitational force of a homogeneous circular disk of mass M and radius a. There is a formula for gravitational force of the disk on the picture.
Task:
1) Find the formula of...
As the star runs out of nuclear fuel, some of its mass flows into its core. Eventually, the core is so heavy that it cannot withstand its own gravitational force.The core collapses, which results in the giant explosion of a supernova.
Source...
problem 3.8 Classical mechanics R.Douglas Gregory
A narrow Hole is drilled through the centre of a uniform sphere of mass M and radius a . Find the gravitational force exerted on a particle of mass m which is inside the hole at a distance r from the centreF = GMm/r2(i) interior to a uniform...
Homework Statement
In Newtonian theory the gravitational potential Φ exerts a force F = dp/dt = −m∇Φ on a particle with mass m and momentum p. Before Einstein formulated general relativity, some physicists constructed relativistic theories of gravity in which a Newtonian-like scalar...
I know that the force of gravity is (ma)=GMm/r^2 or a=GM/r^2
This makes sense and If I were to drop a bowling ball down to Earth I'd expect it to fall with 9.8m/s^2. However I can calculate that the bowling ball has its own gravity using the formula noted above. My question is what will be the...
If gravitational force is caused by a particle (tensor boson) which is massless and so travels at c, why doesn't matter ever exhaust, or even seem to reduce, its supply of these particles?
Homework Statement
A projectile is fired vertically from the Earth's surface with an initial speed of 11.4 km/s. Neglecting air drag, how far (in meters) above the surface of the Earth will it go?
Homework Equations
(1/2)mv^2
-GmM/R
The Attempt at a Solution
KEi+PEi = KEf+PEf
(1/2)mv^2 -...
Homework Statement
Express the gravitational force equation in terms of density.
Homework Equations
F(Gravity) = ((GravitationalConstant)(Mass1)(Mass2))/radius^2
Density = mass/volume
The Attempt at a Solution
Based on the original equation for gravitational force, there are two masses...
Homework Statement
a) What is the magnitude of the net gravitational force on the m2=10kg mass? Assume m1=20kg and m3=15kg.
b) What is the direction of the net gravitational force on the m2=10kg mass? Assume m1=20kg and m3=15kg.
Homework Equations
F = G*m2*m3/R^2
The Attempt at a Solution
M2...
Homework Statement
Why does gravity force decreases below Earth's surface?
Homework Equations
F = G (m1 m2)/r^2
F = force of gravity
G = Universal gravity constant
m1 and m2 = mass of the objects
r = distance between two objects
g = GM/r^2
g = gravity of the object
G = universal gravity...
Homework Statement
Discuss the motion of a particle in a central inverse-square-law force field for a superimposed force whose magnitude is inversely proportional to the cube of the distance from the particle to the force center, that is:
F(r) = -k/r2 - λ/r3 and k,λ>0
Show that the motion is...
Homework Statement
There are a big object and an astronaut in space. How do we calculate the gravitational force between them. I enclose a photo. I have given the mass of an astronaut, the dimensions of this giant ring and density of the ring. There is also a mistake in the photo. The astronaut...
Homework Statement
A 500 kg satellite experiences a gravitational force of 3000 N, while moving in a circular orbit around the earth.
c) Find the Period of the orbit
Homework Equations
So found the period using (Please see the attachment to review my work.) but I also found it by using...
First off, I'd like to note that I am by no means a physics expert. I am merely a high school student and a physics/maths enthusiast, nothing more, so if my thoughts are completely dysfunctional and downright incorrect, which is more than a distinct possibility, please tell me.
I recently took...
Homework Statement
Halley’s Comet orbits the sun about every 75 years due to the gravitational force the sun provides. Compare the gravitational force between Halley’s Comet and the sun when the comet is at aphelion (its greatest distance from the sun) and d is about 4.5 x 10^12 m to the force...
One of my students asked if the graviational force at the Earth's centre is zero. The question was thrown open to the other students and two possible answers were given: zero or infinite! One way of reasoning is to say that the graviational force sums to zero as (assuming uniformity of the...
Homework Statement
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My problem is in figuring out how to solve number 22 through 23, particularly getting the set-up done.
Homework Equations
Newton's law of gravitation and coulomb's law of accelerationThe Attempt at a Solution
[/B]
I initially misread the question and thought that...
In relation to two objects with a gravitational field on them (i.e. a planet and its moon), would there be two pairs of partner forces (the force of gravity exerted from each object and the resulting partner force from each force of gravity)? For example with the Earth and moon:
1. Force of...
When a wheel spins does it generate lift or something, the wheel spins so that the torque force is downwards.
for example you measure the weight of the wheel and then you spin then wheel does anything change?
The wheel is solid and if their change something does it matter if it is a constant...
Why gravitational force is attractive?
Some where it was written that gravitons are hypothetical particles which mediates the force of gravitation, and it has a spin of 2 , and Quantum field theory had proved that any particle of spin 2 characteristic will always mediate attractive force...
What happens to the normal reaction of the force of gravity on a body orbiting around the Earth? The force of gravity provides the centripetal force, but does all of it get converted to centripetal force? Is there any kind of resultant force towards the centre of the Earth (due to the normal...
irst of all an apology : I was very uncertain where to put this. .I am doing this for fun. It isn't really homework so I don't care about any specifics or numbers.Additionally, I couldn't really follow the template with my question.:frown:
I also wasn't sure how difficult this problem really is...
Homework Statement
Calculate the gravitational force between a point mass and a circular platform.
Homework Equations
G=m1*m2/r^2
The Attempt at a Solution
http://i.imgur.com/dfZf9GK.jpg
The actual solution is different. They integrated by the angle between a/r (alpha) but i do not...
I hope I posted in the correct forum...
So, to put it simply. Let's say we have a point mass "m" at rest on the event horizon of a black hole of mass "M" and we throw it directly toward the location of the black hole's singularity. The particles only does linear motion and does not orbit the...
Hi!
Imagine a planet is alone in a two dimensional universe. It has a mass mp. Suddenly, the planet's moon appears out of nowhere. It appears with a distance r from the planet, has a mass mm and velocities vx in the x-direction and vy in the y-direction. The distances rx and ry are also known...
Homework Statement
I am having some trouble with gravitational force and fields and would like some confirmation if I am on the right track and approaching the questions correctly. I have attached a couple of problems that I have worked through below.
Homework EquationsThe Attempt at a...
Homework Statement
Consider a homogeneous thin ring of mass 2.5 x 1022 kg and outer radius 3.9 x 108 m (the figure). (a) What gravitational attraction does it exert on a particle of mass 69 kg located on the ring's central axis a distance 3.7 x 108 m from the ring center? (b) Suppose that...
Homework Statement
There are three particles;
1) 26kg at 12i-hat
2)13kg at -5j-hat
3)13 kg at 5j-hat
A) What is the gravitational force on the 26kg mass due to the 13kg mass at -5j-hat
Homework Equations
F= GMm/r^2
The Attempt at a Solution
A) IN COMPONENTS;
Y Component...
Homework Statement
A particle of mass 52[kg] is at 5.0[m]ˆi a particle of mass 13[kg] is at 12[m]j, and a particle of mass 13[kg] is at −12[m]jˆ. What is the gravitational force on the 52[kg] mass due to the mass at 12[m]jˆ?
answer: −1.0 × 10−10[N]ˆı + 2.5 × 10−10[N]jˆHomework Equations...
Hello all,
I could be looking at this the wrong way but here it goes:
From what I understand, if a star collapses into itself to form a neutron star, it would become more compact, denser and heavier with a larger gravitational attraction.
Now, if I understand correctly, the size of...
Homework Statement
Two basketballs, each of mass 0.58 kg and radius0.12 m, are placed on a floor so that they touch each other. Two golf balls, each of mass 0.045 kg and radius 22 mm, are placed on a table so that they touch each other.
What is the ratio of the gravitational force exerted by...
1. Homework Statement
Calculate the magnitude of the gravitational force between the Earth and a 3.7 kg mass on the surface of the earth. The distance to the center of the Earth from the surface is 6370 km and the mass of the Earth is 5.98·1024.
That gave me 36.37 N
Calculate the magnitude of...
I have this question on my practice test that I can't figure out. "Just as one jumps out of a plane what is their gravitational force given that the mass is 70kg." The thing is, for me to use the gravitational force formula I need to masses. The test only has the one. Am I missing something? Am...
Homework Statement
Point charge Q = 4.26 μC is fixed at the origin. Now, point charge q = 4.88 μC is carefully placed directly above it (along the y-axis), and it floats at (0,9.51 cm). Find the mass of q, in kg. Assume: g = 9.803 m/s^2.
Homework Equations
F=kq1q2/r^2
G=mg
probably
The...