11/22/2023 0 Comments 3 laws of motion![]() ![]() Its position can then be given by a single number, indicating where it is relative to some chosen reference point. The simplest case is one-dimensional, that is, when a body is constrained to move only along a straight line. Movement is represented by these numbers changing over time: a body's trajectory is represented by a function that assigns to each value of a time variable the values of all the position coordinates. The mathematical description of motion, or kinematics, is based on the idea of specifying positions using numerical coordinates. For instance, the Earth and the Sun can both be approximated as pointlike when considering the orbit of the former around the latter, but the Earth is not pointlike when considering activities on its surface. This is a reasonable approximation for real bodies when the motion of internal parts can be neglected, and when the separation between bodies is much larger than the size of each. Newton's laws are often stated in terms of point or particle masses, that is, bodies whose volume is negligible. Limitations to Newton's laws have also been discovered new theories are necessary when objects move at very high speeds ( special relativity), are very massive ( general relativity), or are very small ( quantum mechanics). In the time since Newton, the conceptual content of classical physics has been reformulated in alternative ways, involving different mathematical approaches that have yielded insights which were obscured in the original, Newtonian formulation. Newton used them to investigate and explain the motion of many physical objects and systems, which laid the foundation for classical mechanics. ![]() The three laws of motion were first stated by Isaac Newton in his Philosophiæ Naturalis Principia Mathematica ( Mathematical Principles of Natural Philosophy), originally published in 1687.
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