Theory of Everything - View Single Post

AntonioLao · 04-19-2005, 02:26 PM

inertia is the property of matter which counteract any change to its linear momentum. Inertia is explicitly stated in Newton's 1st law of motion. Newton defined it as the inertial mass in contrast to gravitational mass. The inertial mass then appears in Newton's 2nd law of motion (F=ma), while the gravitational mass appears in Newton's universal law of gravitation (there are two disparate masses here: the very large mass creating the gravitational field and the tiny mass of the test point-particle in the field such as an apple). But Einstein formulated the Principle of Equivalence stating that the inertial mass is always equal to the gravitational mass. Nobody has yet come up with a good physical reason for this equality. Einstein used the Principle of Equivalence to formulate his general theory of relativity.

linear momentum (p) is the product of inertial mass and velocity or p=mv and since velocity is a vector, linear momentum is also a vector. The time rate of change of linear momentum is the inertial force (F=ma), which defines inertial acceleration as the time rate of change of velocity since the inertial mass is a constant for all practical purposes (at low energy and low speed). Newton's 3rd law of motion give assurance for the conservation of linear momentum.

When an object is approaching relativistic speed the linear momentum increases and is directly proportional to its speed.

the relativistic mass increase is given by special relativity as

$m=\frac{m_0}{\sqrt{1-\frac{v^2}{c^2}}}$

where $m_0$ is the rest mass.

The angular momentum is just the product of linear momentum and a metric. In quantum mechanics, the angular momentum is a constant equals to Planck's constant of action establishing Heisenberg's uncertainty principle as
$\Delta r \cdot \Delta p \geq \hbar$ where $\Delta r$ is the differential change in the metric and $\Delta p$ is the differential change in linear momentum.

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AntonioLao Raider of the lost time Status: Offline Posts: 5,613 Thanks Given: 790 Thanked 180x in 174 Posts Join Date: Nov 2003 Rep Power: 80	04-19-2005, 02:26 PM inertia is the property of matter which counteract any change to its linear momentum. Inertia is explicitly stated in Newton's 1st law of motion. Newton defined it as the inertial mass in contrast to gravitational mass. The inertial mass then appears in Newton's 2nd law of motion (F=ma), while the gravitational mass appears in Newton's universal law of gravitation (there are two disparate masses here: the very large mass creating the gravitational field and the tiny mass of the test point-particle in the field such as an apple). But Einstein formulated the Principle of Equivalence stating that the inertial mass is always equal to the gravitational mass. Nobody has yet come up with a good physical reason for this equality. Einstein used the Principle of Equivalence to formulate his general theory of relativity. linear momentum (p) is the product of inertial mass and velocity or p=mv and since velocity is a vector, linear momentum is also a vector. The time rate of change of linear momentum is the inertial force (F=ma), which defines inertial acceleration as the time rate of change of velocity since the inertial mass is a constant for all practical purposes (at low energy and low speed). Newton's 3rd law of motion give assurance for the conservation of linear momentum. When an object is approaching relativistic speed the linear momentum increases and is directly proportional to its speed. the relativistic mass increase is given by special relativity as $m=\frac{m_0}{\sqrt{1-\frac{v^2}{c^2}}}$ where $m_0$ is the rest mass. The angular momentum is just the product of linear momentum and a metric. In quantum mechanics, the angular momentum is a constant equals to Planck's constant of action establishing Heisenberg's uncertainty principle as $\Delta r \cdot \Delta p \geq \hbar$ where $\Delta r$ is the differential change in the metric and $\Delta p$ is the differential change in linear momentum.