A force vec F = (5hat i + 3hat j) text{ N} is | vedclass

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Question

(C) The work done $W$ by a constant force $\vec F$ during a displacement $\vec r$ is given by the dot product of the force and displacement vectors:$W

Vedclass · Accepted Answer

$+7$

Vedclass · Answer

(C) The work done $W$ by a constant force $\vec F$ during a displacement $\vec r$ is given by the dot product of the force and displacement vectors:$W = \vec F \cdot \vec r$Given $\vec F = (5\hat i + 3\hat j) 	ext{ N}$ and $\vec r = (2\hat i - 1\hat j) 	ext{ m}$.Substituting the values:$W = (5\hat i + 3\hat j) \cdot (2\hat i - 1\hat j)$Using the properties of unit vectors $(\hat i \cdot \hat i = 1, \hat j \cdot \hat j = 1, \hat i \cdot \hat j = 0)$:$W = (5 	imes 2) + (3 	imes -1)$$W = 10 - 3$$W = 7 	ext{ J}$.Thus,the correct option is $C$.

$A$ force $\vec F = (5\hat i + 3\hat j) \text{ N}$ is applied to a particle,which displaces it from its origin to the point $\vec r = (2\hat i - 1\hat j) \text{ m}$. The work done on the particle is ........... $J$.

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