Work Done

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Work is done when force is exerted on an object and the object moves from one place to another. Work is as a result of force acting over a certain distance called displacement. If the force F, and the displacement x, are in the same direction, then work done is given by the formula

$$ \text{Work done} = 𝐹𝑥$$

The SI unit of work done is Newton-metre (Joule). 1𝑁𝑚=1𝐽. Equation (28), depends on force applied and the displacement being in the same direction. There are many situations in which the force is not in the same direction as the displacement. In a case like this, only the component of the force that is along the path of the displacement contributes to the work done. If we treat the force and displacement as vectors, then

$$\text{Work done} = \vec{F}  \cdot \vec{x}=Fxcos \theta $$

Where 𝜃 is the angle between the force and the displacement vectors.


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