If overrightarrow{F} = (60 hat{i} + 15 hat{j} | vedclass

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(A) The instantaneous power $P$ is given by the dot product of the force vector $\overrightarrow{F}$ and the velocity vector $\overrightarrow{V}$.$P =

Vedclass · Accepted Answer

$45$

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(A) The instantaneous power $P$ is given by the dot product of the force vector $\overrightarrow{F}$ and the velocity vector $\overrightarrow{V}$.$P = \overrightarrow{F} \cdot \overrightarrow{V}$Substituting the given vectors:$P = (60 \hat{i} + 15 \hat{j} - 3 \hat{k}) \cdot (2 \hat{i} - 4 \hat{j} + 5 \hat{k})$Using the property of the dot product ($\hat{i} \cdot \hat{i} = 1, \hat{j} \cdot \hat{j} = 1, \hat{k} \cdot \hat{k} = 1$ and cross terms are $0$):$P = (60 	imes 2) + (15 	imes -4) + (-3 	imes 5)$$P = 120 - 60 - 15$$P = 45 \; W$

If $\overrightarrow{F} = (60 \hat{i} + 15 \hat{j} - 3 \hat{k}) \; N$ and $\overrightarrow{V} = (2 \hat{i} - 4 \hat{j} + 5 \hat{k}) \; m/s$,then the instantaneous power is: (in $; W$)

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