Gravitation Definition and 918 Threads

Being possibly the newest member here, I would like to put a question that has troubled my mind for quite a while.. If I have a uniform ring (having a certain mass) and a point mass in some idealised gravity free space & I orient them such that the point mass lies exactly at center of the...

Given Kepler's Laws how do you derive Newton's Law of Gravitation?

Homework Statement A small package is fired off Earth's surface with an unknown launch speed, but with a known launch angle of 51.0 as measured from the local horizontal. It reaches a maximum height above the surface of 6380.0 km, a value equal to Earth's radius itself. What is its speed when...

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...

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...

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...

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...

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) /...

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!

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...

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

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

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...

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...

give answer to this question

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...

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

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...

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?

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...

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...

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...

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...

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} =...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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? ___________...

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...

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...

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 =...

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...

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...

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...

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?

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...

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...

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...

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...

Update: Thanks for the help! I'll work on it...

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}...

"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...

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...

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...