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Consider a Cartesian frame of reference (x, y) in the plane. A case moves alo...

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Consider a Cartesian frame of reference (x, y) in the plane. A case moves 4 \, \mathrm{m} along the y-axis, under the effect of a force \vec{F} = F_x \hat{i}  + F_y \hat{j} . If the work done by force is worth16 \, \mathrm{J}, what can be said of force \vec{F} ?

The work is given by the scalar product between the force \vec F and the displacement  \Delta \vec{r}

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