A body constrained to move along the y-axis i | vedclass

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(B) The force acting on the body is given by $\vec{F} = -\hat{i} + 2\hat{j} + 3\hat{k} 	ext{ N}$.Since the body is constrained to move along the $y$-

Vedclass · Accepted Answer

$8$

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(B) The force acting on the body is given by $\vec{F} = -\hat{i} + 2\hat{j} + 3\hat{k} 	ext{ N}$.Since the body is constrained to move along the $y$-axis for a distance of $4 	ext{ m}$,the displacement vector is $\vec{d} = 4\hat{j} 	ext{ m}$.The work done $W$ by a constant force is defined as the dot product of the force vector and the displacement vector: $W = \vec{F} \cdot \vec{d}$.Substituting the values: $W = (-\hat{i} + 2\hat{j} + 3\hat{k}) \cdot (4\hat{j})$.Using the dot product properties ($\hat{i} \cdot \hat{j} = 0$,$\hat{j} \cdot \hat{j} = 1$,$\hat{k} \cdot \hat{j} = 0$):$W = (-1 	imes 0) + (2 	imes 4) + (3 	imes 0) = 8 	ext{ J}$.Thus,the work done is $8 	ext{ J}$.

$A$ body constrained to move along the $y$-axis is subjected to a constant force $\vec{F} = -\hat{i} + 2\hat{j} + 3\hat{k} \text{ N}$. The work done by this force in moving the body a distance of $4 \text{ m}$ along the $y$-axis is ............... $J$.

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