Newtonian Definition and 327 Threads

Is it correct to say that the core idea of energy as the ablity to do work is the same for Newtionian Physics and Relativity?

hi, i am interested in finding a website which has lots of questions (and solutions) on Newtonian mechanics to test my knowledge. things i had in mind include applications of F=ma,inclined planes, tension on ropes,springs etc. thanks

1. How would a general relativist explain why an object falls towards the earth? 2. Is it correct to say that it is not the apple that falls towards the Earth but it is the Earth that accelerates towards the apple? Why is this ok to say?

Homework Statement I have a paper due Friday in ap Physics and i can't seem to find anything on the subject that doesn't involve reading an entire textbook. Ok so we first must compare/contrast Newtonian & Einstein Physics, then explain their contributions to Quantum mechanics. The...

Before I inundate you with various elementary problems I'm facing, I need help with the concept. Fgrav=(GMm)/(r^2) So Fgrav is in units of Newtons, correct? How would one convert that to m/s?

Homework Statement The problem is: Consider a tunnel that connects any two points A and B on the spherical Earth (assuming constant density). The tunnel is a vacuum, and the train traveling through the tunnel is traveling on a frictionless track with no engine (i.e. it is just falling through...

1. How would a general relativist explain why an object falls towards the earth? 2. Is it correct to say that it is not the apple that falls towards the Earth but it is the Earth that accelerates towards the apple? Why is this ok to say? Is it because, in GR, there are no preferred...

Hey I was just wondering what the differences between the three forms of mechanics were. I've only studied basic Newtonian mechanics so I'm not really sure about the other two. Could anyone elaborate?

Homework Statement The speed of a particle of mass [m] varies with the distance[x] as v(x)=ax^(-n). Assume v(x=0)=0 at t=0. a)Find the force F(x) responsible b)Determine x(t) c)Determine F(t) Homework Equations The Attempt at a Solution My solution to part a is F(x)=-ma^2nx^(-2n-1)...

Hello! Would you say that the following text is true from beginning to end?: ----------------------- Basically, there are two mechanical approaches to describe a particle: (a) the variational principles (e.g., the Lagrangian and Hamiltonian ones) and (b) the Newtonian approach. The former...

What books would you recommend as good books for learning theory of physics. My focus is on Newtonian mechanics. Any other books with good problems to solve will also be nice. As of now I have the feynmann lectures on physics in PDF format which I printed. Very nice although I'd like a little...

The Newtonian gravity limit of GR is represented by a perturbation to Minkowski metric: ds^2 = - (1+ 2\Phi(x,y,z,t)) dt^2 + (1-2 \Phi(x,y,z,t))(dx^2 + dy^2 + dz^2) The geodesic equations of this metric correctly reproduce the Newtonian equations for acceleration of a test particle in...

I've only just completed high school, but I have a decent grasp on basic undergrad maths/physics. After hours and hours of paper and mental calculations, I still can't see a way of solving Newton's law of gravitation for the path of a body given inital position/velocity i.e. the second order...

Is there an article about the Newtonian limit of LCDM? The LCDM vacuum is deSitter not Minkowski and they have to expand around that so I think nonzero cosmological constant will make a difference. Give references if you know anything.

According to the official textbook version, the coefficient of proportionality k in the Einstein equation: R_{\mu\nu} - \frac{R}{2} \, g_{\mu \nu} = k \, T_{\mu \nu} is fixed by requiring the equation boils down to Poisson equation for some kind of self gravitating fluid: \nabla^2...

I need some help with this hwk! Please someone help me...:confused: A certain spring is found not to obey Hook’s law; it exerts a restoring force if it is stretched or compressed, where α = 60.0 N / m and β = 18.0 N / m2. The mass of the spring is negligible. (a) Calculate...

Homework Statement For very low rates of acceleration, Newton's 2nd law has to be modified where F<vector>=m*f(a/a0)*a<vector>. For "small" values of a<vector>, f(a/a0) = a/a0. Determine the component equations of motion for the case of f(a/a0) = a/a0 in polar coordinates (don't try to solve...

Hi, I was wondering, which spacetime model do you prefer for Newtonian dynamics? VI Arnold constructs it on an affine space \mathbb{A}^4 with an Euclidean space \mathbb{E}^3 defined on each time cross-section. The construction of time is somewhat cumbersome, involving defining \mathbb{R}^4 to...

how would you describe Newtonian gravity as a vector field?

Okay, I'm sort of confused about forces and acceleration here. Does any force cause an acceleration? What if the force is constant? So does it depend on the situation of the applied force to see if the object accelerates? For example, if you apply a constant force on an object at rest, then the...

Can anybody write me how to show the similarities in the Poiseuille law and the Newtonian viscousity force?

Could anyone explain me and comment the Newtonian viscosity equaton?

1. How would a general relativist explain why an object falls towards the earth? 2. Is it correct to say that it is not the apple that falls towards the Earth but it is the Earth that accelerates towards the apple? Why is this ok to say? Is it because, in GR, there are no preferred reference...

i am a physics enthusiast studying general relativity on my own with the book: "Exploring Black Holes: Introduction to General Relativity" by Edwin F. Taylor and John Archibald Wheeler. I am having the hardest time with the fourth chapter of the book and especially the 4th question in that...

Basic postulate of GR is that locally spacetime looks flat i.e. any metric can be reduced to a local inertial metric at a point. The local inertial metric is exactly the flat Minkowski metric AT the point, and has zero derivatives AT the point but those are not true away from the point. Then...

I am involved in a discussion about non-locality in QM. I'm arguing that it is possible for a local mechanism to emulate a non-local one and the best example I could find is gravity (the apparently non-local force required by Newtonian gravity being explained by a local mechanism in GR). My...

Hello, Say you have a frictionless setting. In this setting are two skateboards. One has a waterwheel (or any wheel with fins) propped up on beams so that it is on the skateboard and can freely turn. On the other skateboard is a person standing on it. If the skateboards are one behind the...

The Newtonian theory is strictly speaking false and it has been superseded by the theory of relativity. However, it is more simple and easier to apply than the theory of relativity. Also, in some situations, the results do not differ significantly. The question is: is the Newtonian theory still...

third law is equal and opposite reaction . . . the first law is inertia of mass. From everything I can remember reading, people often talk about the mystery of inertia in bodies . . . well, i finally got around to thinking about this stuff(admittedly), and it seems to me that the first law is...

Homework Statement Last part of MTW Gravitation exercise 23.7: Calculate in Newtonian theory the energy one would gain from gravity if one were to construct a star by adding one spherical shell of matter on top of another, working from the inside outward. Use Laplace's equation d(r^2 (d...

Homework Statement I need to derive the Compton scattering formula using Newtonian mechanics, I have it done in relativistic mechanics but can't get the Newtonian version. Homework Equations the solution to the relativistic equation is 1=mc^2(1/E2-1/E1)+cos(theta) for Newtonian...

Any one recommend some good books about Newtonian maths, his theories etc, Calculus, Liebnitz ,whatever, or any entry level calculus books? I'm asking on behalf of a friend who wants to get back into maths, so it should be from an introductory level and up? I learned mine from textbooks, that...

Homework Statement Figure shows the cylindrical skater, http://hk.geocities.com/puipui_queen/cylinder_skater.jpg as she spins,she may be modeled as a homogeneous cylinder of raduis R, height h, and density p, with outstretched arms. The arms are cylinders as welll, also of density p...

I'm just wondering... how would this work out? What would happen, for example, if an object goes past the event horizon of a black hole in a Newtonian universe? Or is this where Newtonian mechanics breaks down and we need General Relativity to explain it? (P.S. I am a high school student with...

I'd like to understand how to calculate the components of Newtonian tidal accelaration tensor in polar coordinates. Is any available Internet source which clearly explains the technique with details? Reading James B. Hartle "Gravity" textbook I stumbled on the following Example from...

Three weeks ago I have constructed this apparent paradox inside the Newtonian world. http://critticall.com/alog/Antinomy_inside_mechanics.pdf" Am I wrong or not? What's your say? - Thomas

I'm trying to derive Friedmann's equation for cosmology using Newtonian physics. I've got the force equation F=ma for the case without a cosmological constant. But now I'm trying to incorporate the cosmological constant into this force equation. But I'm having trouble seeing how the...

"Two boxes, m1=1.0 kg witha coefficient of kinetic friction of 0.10 amd m2=2.0 kg with a coefficient of 0.20, are placed on a plane inclined at 30 degrees. (a) What acceleration does each box experience? (b) If a taut string is connecting the boxes with m2 farther down the slope, what is the...

Hi, I was wondering, how would one formulate Newtonian Mechanics as a rigorous mathematical model? Would one take force to be an external quantity defined by various force laws (Coulomb, UG) and accept Newton's Second Law of Motion as an axiom (and first law as a definition of inertial...

I'm basically reading on how the velocity profile is found for a laminar flow of a Newtonian fluid down an inclined plane surface. (x is along the incline, y is perpendicular to the incline) The assumptions being made are - The fluid is Newtonian - It's laminar - It's fully developed - It's...

A car is driven on a large revolving platform which rotates with constant angular speed w.At t=0, a driver leaves the origin and follows a line painted radially outward on the platformwith a constant speed v0.The total weight of the car is W,and the co-eff. of friction between the car and the...

Consider a capstan.A circular body around which a strong rope is wound.The free ends of the rope are pulled with tension Ta and Tb. Ta>>Tb.Co--eff. of friction is mu.theta is the total angle subtended by the attached portion of the rope on the centre of the drum.Prove that Ta=Tb[exp(-mu theta)]

A rectangular block of mass M1 rests on the frictionless horizontal plane.On it there is a rectanglar shaped hole, drilled from upper surface.A mass M2 is on the frictionless upper surface of the block being connected through string over a pulley another mass M3 which hangs in the hole.The mass...

# In Newtonian mechanics, which of the following characteristics of a particle is the same in all inertial frames? a)Speed b)Velocity c)Momentum d)Impulse Does Newtonian mechanics mean Classical mechanics?

I've just had a silly thought. Newtonian spacetime wrt to postion space is basically a vector bundle. If you want to assign each postion vector to a point in on a Riemannian/Pseudo-Riemannian manifold you have to take the following two things into account: a) Each vector in any given vector...

Looking for help interpreting a proof of G.R. please. . . One of the earliest proofs of G.R. was the deflection of light by a gravitational field, first shown in 1919 during a solar eclipse. I think Einstein predicted approximately 1.7 seconds of arc deflection during that eclipse. But...

Hallo, First time I've experienced a real problem rearding equations in physics, so: As conclusions to the lab on focal points and and center of curvatures (which will be explained at a later date), we were given the following relationships: So = Do - f Si = Di - f And, we were...

This time I'm uncertain as to how to start: Body A in Fig. 6-34 weighs 98 N, and body B weighs 70 N. The coefficients of friction between A and the incline are ms = 0.50 and mk = 0.27. Angle is 48°. Let the positive direction of an x-axis be down the slope. What is the acceleration of A if A...

According to Sean Carroll’s Lecture Notes on General Relativity, equation (4.20) and text below, the Newtonian limit is obtained when g_{00} = -(1+2\phi). However, in Schutz’s “A first course in General Relativity” it is additionally required that g_{11} = g_{22} = g_{33} = (1+2\phi). I do not...

ex) you throw a baseball straght up. I returns after 3.5 sec. How fast did you throw it? i could then use x = x(initial) + v(initial)*3.5s + 1/2(-9.8)(3.5^2) and solve for initial velocity which comes out to be 17.5m/s. in this problem, 9.8 was negative and in some other problems, 9.8...