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A particle moves with a velocity v = 6î − 4ĵ + 3k̂ m/s under the influence of a constant force F = 20î + 15ĵ − 5k̂ N. The instantaneous power applied to the particle is

1. 45 J/s
2. 35 J/s
3. 25 J/s
4. 195 J/s

Correct answer: 45 J/s

Solution

The instantaneous power is given by the dot product of force and velocity: P = F · v. Calculating, P = (20)(6) + (15)(-4) + (-5)(3) = 120 - 60 - 15 = 45 J/s.

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