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A force $\mathbf{F}=(2 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}) \mathrm{N}$ is applied on an object of mass $M$. What is the work done by this force in moving the object horizontally along the $X$-axis by $3 \mathrm{~m}$ ?
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$6 \mathrm{~J}$
Displacement of object is along $X$-axis by $3 \mathrm{~m}$, $\mathbf{x}=3 \hat{\mathbf{i} m}$
$\text { Force }=2 \hat{\mathbf{i}}+4 \hat{\mathbf{j}} \mathrm{N}$
Work done by force, $W=\mathbf{F} \cdot \mathbf{x}=(2 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}) \cdot 3 \hat{\mathbf{i}}=6 \mathrm{~J}$
$\text { Force }=2 \hat{\mathbf{i}}+4 \hat{\mathbf{j}} \mathrm{N}$
Work done by force, $W=\mathbf{F} \cdot \mathbf{x}=(2 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}) \cdot 3 \hat{\mathbf{i}}=6 \mathrm{~J}$
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