Linear Kinetics
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Force
Momentum
Kinetic Energy

Force

Force acting on a particle is equal to the product of its mass and acceleration:

    [1]

From [1]:

    [2]

The acceleration of a particle is proportional to the force acting on it and is inversely proportional to its mass: Newton's second law of motion - law of acceleration. When the force acting on a particle is zero, the acceleration is also zero: Newton's first law of motion - law of inertia.

For every action of force, there is an equal and opposite reaction: Newton's third law of motion - law of reaction. Newton's third law basically reflects the bilateral nature of the force exertion.

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Momentum

Momentum of a particle is defined as the amount of motion the particle possesses which is in fact equal to the product of its mass and velocity:

    [3]

From [1]:

    [4]

since

    [5]

Or

    [6]

where po = the initial momentum of the particle, t = time, and to = the initial time. From [6]:

    [7]

where I = the impulse, the accumulated effect of force exertion on the particle. In other words, the impulse is equal to the change in momentum. Force exertion on the particle causes change in momentum.

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Kinetic Energy

The kinetic energy of a particle is the energy due to the motion of the particle:

    [8]

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Young-Hoo Kwon, 1998-