Newton Definition and 527 Threads

Homework Statement This doesn't come from a textbook but it's like a homework question so I thought it would be more appropriate here. I'm trying to figure out what equation Newton used since the force of gravity or the mass of the Earth was not known until Cavendish. I'm looking for an...

Okay, so if we have the work Formula: ##A=Fd## we have units: ##N*m## which gives us joule ##J##, but if we have the formula of the force: ##F=\frac{mv}{t}## we would have ##\frac{kg * \frac{m}{s}}{s}## which gives us ##kg \frac{m}{s^2}##, so does that give Newton?

Homework Statement I need to show that the first equation becomes the last. First sub in for r1 and r2 and then use the binomial theorem to expand to first order in d. Then use the assumption that d<<r1 and r2. To show it reduces to the last eqn **In the first eqn it is NOT r3 is should be r2...

I have the analytical first and second derivatives of a (multidimensional) lagrangian ( l = f - λh). X is the vector of variables of the objective function and λ is the single lagrange multiplier. where f=f(X) is the nonlinear objective function, h is the nonlinear (equality) constraint (i.e...

Interesting collection of Newton papers including notebooks and his own copy of the Principia Mathematica: http://cudl.lib.cam.ac.uk/collections/Newton

Can anyone please explain the difference between Newtonian and GR when used to describe gravity especially with reference to gravitational attraction inside an event horizon. Or how do we get over the problem of an object in freefall exceeding the speed of light as it approaches the singularity.

A hot object cools down to a temperature of 10 degrees of Celsius during a period of 180 seconds. The room temperature is 10 degrees of Celsius. Assume the coefficient in the Newton's Law of cooling to be 0.01[1/sec]. Determine the original temperature of the substance 2. T(room) +...

"Newton 2nd Law" word problem help Homework Statement When the click beetle jumps in the air, its acceleration upward can be as large as 400.0 times the acceleration due to gravity. (An acceleration this large would instantly kill any human being.) For a beetle whose mass is 40.00 mg...

I want to know how Newton can be converted to energy (Joule). At least approximately... For example let's say a crankshaft transfer a force, - exactly 100000 Newton How much energy would be transferred be per second, - included all what is "lost" to heat etc..

I have completed a difference table for 4 points, x0, x1, x2, x3 and found the third degree poly that goes through these four points. Now I need to know how to make the polynomial of second degree that interpolates x0, x2, and x3. Do I just need to remake the table for 3 points, now excluding...

Homework Statement a box filled of water is over at the beginning of a incline plane of 30 degree, it has a mass of 1 kg,from the bottom of the plane to the top is 10m, the gallon is pushed with a force of 10N to the top, and the gallon is leaking 0.01kg per second what is the final velocity...

Why did Newton define force as F=ma instead of stuff like F=m*(a^2) or F=(m^2)*a?

Did anyone write a program before for Newton Raphson method on MATLAB. I need to try the program to solve 2 equations: cox=x^3 and x^4-0.5(x^3)+3(x^2)-x+3=0 Please Help me in this manner ASAP. AND THANK YOU

I understand there is a slight difference in the value of gravity when worked out using Newton or relativity. The obvious example being mercury where Newtonian is slightly out and relativity accurate. Does relativity show a higher or lower figure or does the difference in working out mean you...

I got an idea the other day in class about Newton's cradles. I was wondering if you put one in a vacuum and started it, would it run for longer, as opposed to being in normal conditions because of sound's inability to travel through vacuums etc? Would anyone be able to clarify because I was...

Mu1 is the friction coefficient , I'm sure I did it wrong because I got the acceleration isn't dependent on it, and it doesn't make sense. disregard the axis in the drawing - it's for another question. Homework Statement Find an expression for the acceleration of the system when there is...

The 4.00kg block in the figure is attached to a vertical rod by means of two strings. when the system rotates about the axis of the rod, the strings are extended and the tension in the upper string is 80N. A: What is the tension in the lower cord? B: what is the speed of the block? FIGURE...

Block A in the figure below has mass mA = 4.5 kg and is sliding down the ramp. Block B has mass mB = 2.2 kg. The coefficient of kinetic friction between block B and the horizontal plane is 0.50. The inclined plane is frictionless and at angle 30°. part a is to find the tension the equation...

I was under the impression that, by experiment, Newton deduced \textit{F}\propto{m} \rightarrow \textit{F = k}_{1}\textit{m} (where \textit{k}_{1} is some constant) and \textit{F}\propto{a} \rightarrow \textit{F = k}_{2}\textit{a} (where \textit{k}_{2} is some...

Homework Statement given f \in C^2 such that f(a)=f'(a)=0 ^f''(a)\neq 0 prove that the modified Newton method x_{n+1}=x_n-2 \frac{f(x_n){f'(x_n)} coverges with order two. Homework Equations if g(x) is an iterative function such that the first m derivatives of g at a are zero and...

I'm reading this question that says "The 5.5-Mg humpback whale is stuck on the shore due to changes in the tide..." Does Mg mean Newton?

Yeah is there any correlation between being single for the rest of your life and very successful in Math/physics?

While making a projection of the sun on a paper with a Newton telescope, I’m able to see a white ball or to make burning holes in paper. My idea however is to be able to see something more spectacular , like sunspots or protuberances. Does someone has an ideas how to do this practically...

I was watching a lecture by Walter Lewin, when he started talking about the radius of an event horizon and the mass of its black hole. I was confused, because I thought that black holes were relativistic things. But then I realized that special relativity deals with things moving at velocities...

A mass M at To =0 s has a speed of lVol in the positive X direction. The floor has a coefficient of static friction of Us and a coefficient of kinetic friction of Uk. How far will the mass M travel? mass = M @ To = 0s speed = Vo coefficient of static friction = Us coefficient of Kinetic...

I understand that a Newton (N) is the "amount of force required to accelerate a one-kg object at 1 m/s^2", but what exactly does that mean? If I apply 1N of force to a 1kg object, will it constantly accelerate if I continue to apply the 1N? E.g. If I apply 1N of force for 10 seconds, the...

Homework Statement A passenger in a moving car is thrown forward when the car stops suddenly. Explain why this happens with reference to Newton's First Law. Homework Equations The Attempt at a Solution "An object at rest stays at rest and an object in motion stays in motion...

Homework Statement So I have a similar situation with the traditional Newton rings. Instead of having however a convex lens, I have a (partial) spherical surface with height d with sitting on top of a thin film of thickness t, with d >>> t, and refractive index n and below the thin film is a...

Homework Statement Hi. My task is to find the Force F, so that velocity is constant. I know that the velocity is constant, therefore the sum of all forces must be zero! On the image I have used vector decomposition (the black lines). The orange ones are the vectors. I know that the...

Homework Statement A book rests on a table. Identify the NIII force pairs. Homework Equations The Attempt at a Solution Downward force of book on table; upward force of table on book (N). Downward force of book and table on ground; upward force of ground on book and table (N)...

I am currently trying to research the calculus performed by both Newton and Leibniz. Specifically, their use of limits and infinite series in each of their versions. However, I am having some trouble finding any information regarding this. I know that Newton, for example, founded his version...

Well, this is my first post here. :biggrin: Hoping for fun times. So, straight to topic, my title describes what I want to know. I tried searching online, but I did not come upon anything that explains how Newton came to find the value 9.8m/s^2, or even whether he did. Also, if you happen...

Simple question with a simple answer, just want a little more description. Newton III states: For every action there is an equal and opposite reaction. As the Earth rotates one way, what's the opposite force that keeps it "balanced"? Inertia? Arrived at the question when was thinking...

Homework Statement A 10,000 kg rocket is acted upon by a upward thrust of 118,000N How fast will the rocket be moving after 20 seconds? How far will it have moved in this time? Also, how do i determine the net force Homework Equations a = \SigmaF/m d=1/2at2+vit The Attempt at a Solution...

I have a nonlinear system of equations and am using the Newton raphson method to solve for them. The method is basically as follows: J*dx = -F, where J is the jacobian matrix, dx is a vector whose elements are the changes to x, F is a vector whose elements are the function values at x. To...

Hi Please can somebody help The equation governing the buckling load P of a strut with one end fixed and the other end simply supported is given by tan (Mu)L = (Mu)L where (Mu) = Sqrt (P/EI), L the length of the strut and EI the flexural rigidity of the strut. By writing x = (Mu)L, solve...

Consider the figure below where the coefficient of kinetic friction between the m1= 2.0-kg and the m2 = 3.0-kg blocks is 0.30. The hanging mass is given to be m3 =10.0-kg and the horizontal surface supporting the blocks along with the pulleys are...

I admire Newton's work and agree that he was a great scientist. He came up with many new original ideas. But there are many other scientists who are equally or perhaps more great who are not held as high as Newton. Some of the names which I could think of off hand are: Archimedes, Leibniz. My...

Hello , i have a Newton raphson algorithm. The problem is that it isn't making the loop and of course not giving a result. I tried two cases. One with " if ((f1>eps) && (fd1>eps)) { while ((error>eps) " and one instead of the above " while ((error>eps) && (fd1>eps) &&...

Homework Statement An object of temperature 60oF is placed in a medium maintained at a constant temperature moF. At the end of 5 mins thetemperature of the object is 45 oF and after another 5 mins its temperature is 36 oF. Find m Homework Equations y=cekt+m The Attempt at a...

i'm too lazy to do the research

What exactly happens when a tablecloth is pulled out from underneath a table setting, and everything on the table stays put? Newtons laws certainly applies to it but maybe inertia as well?

Hi, I have to pick one of these great scientists to write a middterm item on, so basically I'm curious about what you personally think would be the easiest answer to argue to this question: Which out of Galileo, Kepler or Newton was of the greatest significance in changing the scientific...

Homework Statement [PLAIN]http://img693.imageshack.us/img693/8219/utennavnu.png Homework Equations n= normal force µ*n=friction F=ma. T = tension , mA = mass of A, mB mass of B The Attempt at a Solution a) Static friction should be used. Forces on brick A : x: T - µ*mg=0 y...

I'm having some difficulty with some sample questions. I have the solution to the problems. but i don't know how to work through the problem to get to the solution. 1.what is the mass of the object? details: Two strings are holding up an object. string 1 is 30 degree and 23N. string 2...

Hi, I have some questions concerning Newtonian physics which confuse me, especially the Galilean boosts. First of all, the Galilei group is x^i \rightarrow R^i_{\ j}x^j + v^i t + d^i, \ \ \ \ \ \ \ \ x^0 \rightarrow x^0 + \xi^0 where R is an element of SO(3), v is a constant velocity, d is a...

Homework Statement pushing an armchair across a carpeted or at constant speed v you apply a force of 100N if you push same chair at constant speed 2v(twice as fast) you mush push with a force? a)100N B)141N The Attempt at a Solution Newtons second law? if the net force acting on...

my question is as follows. when an object x exerts a force on object y, then object y exert a force of the SAME TYPE that is equal in magnitude and opposite in direction on object x Explain what is meant by of the same type in this statement?

The paper is impressive. I'll get the link. Here http://arxiv.org/abs/1003.1998 On our 2nd quarter 2010 MIP ("most important paper") poll, I noticed that Atyy picked both of the Randono papers. It made me think about this one, that came out in March---the first quarter of 2010, so not on the...

hi am new here ... and sorry for my weak English i have a question and a problem in physics that i need to know it's solution i will give you the main idea without numbers and you can assume any numbers that you find it suitable for the problem... the problem say: if a small ball is...