Kinetic Energy and the Work

Kinetic Energy and the Work - between net work and kinetic...

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Kinetic Energy and the Work-Energy Theorem As is evident by the title of the theorem we are deriving, our ultimate goal is to relate work and energy. This makes sense as both have the same units, and the application of a force over a distance can be seen as the use of energy to produce work. To complete the theorem we define kinetic energy as the energy of motion of a particle. Taking into consideration the equation derived just previously, we define the kinetic energy numerically as: K = mv 2 Thus we can substitute K in our work energy theorem: W net = mv f 2 - mv I 2 = K f - K o Implying that W net = ΔK This is our complete Work-Energy theorem. It is powerfully simple, and gives us a direct relation
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Unformatted text preview: between net work and kinetic energy. Stated verbally, the equations says that net work done by forces on a particle causes a change in the kinetic energy of the particle. Though the full applicability of the Work-Energy theorem cannot be seen until we study the conservation of energy , we can use the theorem now to calculate the velocity of a particle given a known force at any position. This capability is useful, since it relates our derived concept of work back to simple kinematics. A further study of the concept of energy, however, will yield far greater uses for this important equation....
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