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(ID 334)
(ID 1329)
(ID 333)
(ID 339)
(ID 340)
The concept of energy was initially introduced in thermodynamics with the purpose of quantifying the amount of heat that could be converted into mechanical work. In a representative experiment, friction was generated by sliding a surface against a cable subjected to a force. This cable traveled a the distance traveled in a time ($\Delta s$) which, when multiplied by the applied force the force with constant mass ($F$), resulted in the generated work the work variance ($\Delta W$):
| $ \Delta W = F \Delta s $ |
Since both the force with constant mass ($F$) and the distance traveled in a time ($\Delta s$) are actually vectors, this expression can be generalized using the scalar product between the force ($\vec{F}$) and the path traveled (vector) ($\Delta\vec{s}$), yielding the work fraction ($\Delta W$):
| $ dW = \vec{F} \cdot d\vec{s} $ |
In other words, only the component of the force that acts in the direction of the displacement effectively contributes to the energy transfer.
(ID 1136)
(ID 338)
(ID 337)
ID:(61, 0)