A force F =(6î -8j)N, acts on a particle and
displaces it over 4 m along the X-axis and 6m
along the Y-axis. The work done during the
total displacement is
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Work is the scalar product of force and displacement. It can be expressed as the product of the magnitude of the force and the displacement multiplied by the cosine of the angle between them. The amount of work done is maximum if the force is parallel with the displacement and minimum (zero) if the force is perpendicular with the displacement.
Answer and Explanation:
A.
{eq}\begin{align*} W&=\vec{F}\cdot \Delta \vec{r} \\ &= (8 \hat{i}-3 \hat{j})\ \rm{N} \cdot (4 \hat{i}+ \hat{j}) \ \rm{m}\\ &=[(8)(4)+(-3)(1) ]...
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