Sunday, April 18, 2010

Newton's laws of motion

Classical mechanics
\mathbf{F} = \frac{\mathrm{d}}{\mathrm{d}t}(m \mathbf{v})
Newton's Second Law
History of ...
[hide]Formulations
Newtonian mechanics
Lagrangian mechanics
Hamiltonian mechanics
  1. In the absence of a net force, the center of mass of a body either is at rest or moves at a constant velocity.
  2. A body experiencing a force F experiences an acceleration a related to F by F = ma, where m is the mass of the body. Alternatively, force is equal to the time derivative of momentum.
  3. Whenever a first body exerts a force F on a second body, the second body exerts a force −F on the first body. F and −F are equal in magnitude and opposite in direction.

These laws describe the relationship between the forces acting on a body and the motion of that body. They were first compiled by Sir Isaac Newton in his work Philosophiæ Naturalis Principia Mathematica, first published on July 5, 1687.[2] Newton used them to explain and investigate the motion of many physical objects and systems.[3] For example, in the third volume of the text, Newton showed that these laws of motion, combined with his law of universal gravitation, explained Kepler's laws of planetary motion.

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