A body,constrained to move in the Y-direction | vedclass

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(B) The work done $W$ by a constant force $\vec{F}$ during a displacement $\vec{r}$ is given by the dot product: $W = \vec{F} \cdot \vec{r}$.Given the

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$150$

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(B) The work done $W$ by a constant force $\vec{F}$ during a displacement $\vec{r}$ is given by the dot product: $W = \vec{F} \cdot \vec{r}$.Given the force $\vec{F} = (-2\hat{i} + 15\hat{j} + 6\hat{k})\,N$.The displacement is $10\,m$ along the $Y$-axis,so $\vec{r} = 10\hat{j}\,m$.Substituting these into the formula:$W = (-2\hat{i} + 15\hat{j} + 6\hat{k}) \cdot (10\hat{j})$$W = (-2 	imes 0) + (15 	imes 10) + (6 	imes 0)$$W = 0 + 150 + 0 = 150\,J$.Therefore,the work done is $150\,J$.

$A$ body,constrained to move in the $Y$-direction,is subjected to a force given by $\vec{F} = (-2\hat{i} + 15\hat{j} + 6\hat{k})\,N$. What is the work done by this force in moving the body a distance $10\,m$ along the $Y$-axis?

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