## Laws of Science

##### Created by:

maf23  on June 7, 2011

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# Laws of Science

 Archimedes' principleAny floating object displaces its own weight of fluid
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#### Definitions

Archimedes' principle Any floating object displaces its own weight of fluid
Kepler's laws of planetary motion The orbit of every planet is an ellipse with the Sun at one of the two foci.
A line joining a planet and the Sun sweeps out equal areas during equal intervals of time
The square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit.
Newton's laws of motionFirst law: Every body remains in a state of constant velocity unless acted upon by an external unbalanced force. This means that in the absence of a non-zero net force, the center of mass of a body either remains at rest, or moves at a constant velocity.
Second law: A body of mass m subject to a net force F undergoes an acceleration a that has the same direction as the force and a magnitude that is directly proportional to the force and inversely proportional to the mass, i.e., F = ma. Alternatively, the total force applied on a body is equal to the time derivative of linear momentum of the body.
Third law: The mutual forces of action and reaction between two bodies are equal, opposite and collinear. This means that 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. This law is sometimes referred to as the action-reaction law, with F called the "action" and −F the "reaction". The action and the reaction are simultaneous.
Euler's laws of motionfirst law states that the linear momentum of a body, G is equal to the product of the mass of the body and the velocity of its center of mass: G = vc
second law states that the rate of change of angular momentum about a point, d(H)/dt , is equal to the sum of the external moments about that point: M = d(H)/dt
Newton's law of universal gravitationEvery point mass attracts every single other point mass by a force pointing along the line intersecting both points. The force is proportional to the product of the two masses and inversely proportional to the square of the distance between them:

F = G((m1m2)/{r^2}) ,

where:

F is the force between the masses,
G is the gravitational constant,
m1 is the first mass,
m2 is the second mass, and
r is the distance between the masses.

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