what is the classical transformation (following newton?) in physics?
825050
Probably you mean the classical Galilei transformation.\nThe relativistic one is the Lorentz transformation.\nGrüss Ihnen.\n\nTh
242501
Relative motion between objects was not new to Newton and his contemporary scientists.\n\nEvery experimental result proved and confirmed again and again Newton’s laws of motion even in the frames of reference moving relative to each other.\n\nLatter with the improvement in measuring technology and particles moving nearly equal to the velocity of light, their behavior contradicted Newton’s laws.\n\nEinstein with a firm belief that any physical law (including Newton's law) must be the same in any reference frame moving relative to each other postulated that speed of light is independent of the source of light.\n\nThis explained every experimental result well and obeyed Newton’s laws.\n\nThe only difference is that  the basic quantities mass , length and time which during Newton’s time was thought of absolute in the sense that  they will not change with the velocity of the frame in which they are , is now considered to vary with the speed of the reference frame, and the velocity of light is independent of the motion of the source.
1045430
Momentum - P = mv (P=momentum, m=mass, v = velocity)\nThree Laws of Newton - F = ma (F=Force; a=acceleration)\nEquations of motion - 1) v = u + at\n                                    2) S = (1/2)ut + at^2\n                                    3) v^2 = u^2 + 2aS\n(v=final velocity; u = initial velocity; S=distance)\n\nIf this can help you please mail me back !\nBEST OF LUCK !!!!
549497
Newton's First Law of Motion:\n 1. Every object in a state of uniform motion tends to remain in that state of motion unless an external force is applied to it.  \n\nNewton's Second Law of Motion:\n 2. The relationship between an object's mass m, its acceleration a, and the applied force F is F = ma. Acceleration and force are vectors (as indicated by their symbols being displayed in slant bold font); in this law the direction of the force vector is the same as the direction of the acceleration vector.  \n\nNewton's Third Law of Motion:\n 3. For every action there is an equal and opposite reaction.
888499
If you're speaking of the motion of Earth on it's axis or it's rotation about the sun, the answer is the scientific principle of Inertia, read now!\n\nThe principle of inertia is one of the fundamental laws of classical physics which are used to describe the motion of matter and how it is affected by applied forces.Inertia is the property of an object to resist changes in velocity unless acted upon by an outside force.Inertia is dependent upon the mass and shape of the object. The concept of inertia is today most commonly defined using Sir Isaac Newton's First Law of Motion, which states:\n\nEvery body perseveres in its state of being at rest or of moving uniformly straight ahead, except insofar as it is compelled to change its state by forces impressed. [Cohen & Whitman 1999 translation]\n\nThe description of inertia presented by Newton's law is still considered the standard for classical physics. However, it has also been refined and expanded over time to reflect developments in understanding of relativity and quantum physics which have led to somewhat different (and more mathematical) interpretations in some of those fields.\n\nNow read more at the links below:
957270
Third law\n    To every action (force applied) there is an equal and opposite reaction (equal force applied in the opposite direction).\n    Another way of stating Newton's third law, an interaction between two objects, is that, if object A exerts a force on object B, object B will exert the same magnitude force on A, but in the opposite direction.
49354
Newton's First Law of Motion:\nI. Every object in a state of uniform motion tends to remain in that state of motion unless an external force is applied to it.  \n\nThis we recognize as essentially Galileo's concept of inertia, and this is often termed simply the "Law of Inertia". \n\nNewton's Second Law of Motion:\nII. The relationship between an object's mass m, its acceleration a, and the applied force F is F = ma. Acceleration and force are vectors (as indicated by their symbols being displayed in slant bold font); in this law the direction of the force vector is the same as the direction of the acceleration vector.  \n\nThis is the most powerful of Newton's three Laws, because it allows quantitative calculations of dynamics: how do velocities change when forces are applied. Notice the fundamental difference between Newton's 2nd Law and the dynamics of Aristotle: according to Newton, a force causes only a change in velocity (an acceleration); it does not maintain the velocity as Aristotle held. \n\nThis is sometimes summarized by saying that under Newton, F = ma, but under Aristotle F = mv, where v is the velocity. Thus, according to Aristotle there is only a velocity if there is a force, but according to Newton an object with a certain velocity maintains that velocity unless a force acts on it to cause an acceleration (that is, a change in the velocity). As we have noted earlier in conjunction with the discussion of Galileo, Aristotle's view seems to be more in accord with common sense, but that is because of a failure to appreciate the role played by frictional forces. Once account is taken of all forces acting in a given situation it is the dynamics of Galileo and Newton, not of Aristotle, that are found to be in accord with the observations. \n\nNewton's Third Law of Motion:\nIII. For every action there is an equal and opposite reaction.  \n\nThis law is exemplified by what happens if we step off a boat onto the bank of a lake: as we move in the direction of the shore, the boat tends to move in the opposite direction (leaving us facedown in the water, if we aren't careful!).
307120
Newton: universal absolute time, 3 dimensional Cartesian geometry, action at a distance (force), universal gravitation as a force with an inverse-square law\n\nEinstein: relative time, non-Cartesian geometry, absolute limit to speed (speed of light), 4 dimensional space-time, gravitation as a result of the curvature of space and time.
598835
Newton's gravitational constant (G) hasn't changed one bit because of Relativity (and is in fact one of only two constants in GR the other being the cosmological constant (Λ) which was thought to be zero but is now known not to be).\n\nThough I don't think there would be any meaning of a ratio between G and Λ
303805
I don't see how components are necessary.  \n\n"r" and "v" are just shorthand for r(t) and v(t), assuming we are looking at position (r) and velocity (v) as time varying "vectors".  And v(t) is just the time derivative of r(t) (by DEFINITION), that is, v(t) is DEFINED as r'(t).\n\nSo there isn't any actual CONTENT in expanding them into components. We are just choosing different ways to symbolize the quantities involved and there isn't anything to prove.
565043
Newton's third law: law of reciprocal actions\n \nAll forces occur in pairs, and these two forces are equal in magnitude and opposite in direction. \n\n\nThe third law follows mathematically from the law of conservation of momentum.
663225
The early branch of physics, developed mainly by Newton and his contemporaries is what we call Classical Mechanics. [The developments of physics after 1900 is covered mainly by the Quantum Mechanics and is called the Modern Physics.]
874953
Classical mechanics courses usually cover the laws of mechanics formulated as Lagrangian and Hamiltonian systems.  These are useful for the analysis of multi particle systems whch arise in physics (planet mechanics, plasmas, electron beams, etc) but usually fall ooutside the domain of mechanical engineering.  \n\nI'm a EE but found classical mechanics to be a useful course set.
865054
Let u=ln t, e^u=t, du=dt/t, dt=t du\nThen:\n∫ln² t dt = ∫t u² du = ∫u² e^u du\nIntegrating by parts:\nu² e^u - ∫2u e^u du\nu² e^u - 2u e^u + ∫2e^u du\nu² e^u - 2u e^u + 2e^u + C\nt ln² t - 2t ln t + 2t +C\nAnd we are done.
765636
Newton's first law states: A object at rest will remain at rest and an object in motion will remain in motion (at a constant speed and direction) unless acted upon by an external force.\n\nThis is also known as the law of inertia.
1109075
Einstein's law of gravitation. It certainly looks nicer than Newton's :P
355325
Newtons, or sometimes kilograms