Instantaneous Power from Force and Velocity Vectors – Rankers Physics

Power: Practice Problem & Solution

If $\vec{F} = (60\hat{i} + 15\hat{j} - 3\hat{k}) \text{ N}$ and $\vec{V} = (2\hat{i} - 4\hat{j} + 5\hat{k}) \text{ m/s}$ then instantaneous power is: (2000)
$195 \text{ watt}$
$45 \text{ watt}$
$75 \text{ watt}$
$100 \text{ watt}$

Solution Explained:

To solve this problem, we apply the core principles of Power. Understanding the underlying formula is key to arriving at the correct answer below:

Instantaneous power is given by $P = \vec{F} \cdot \vec{V} = (60)(2) + (15)(-4) + (-3)(5) = 120 - 60 - 15 = 45 \text{ W}$.

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