A particle moves with a velocity v→=6ı^-4ȷ^+3k^ m/s under the influence of a constant force F→=20i^+15ȷ^-5k^N The instantaneous power applied to the particle is

P=F→·v→=(6ı^-4ȷ^+3k^)·(20i^+15ȷ^-5k^) J/s=6×20-4×15-3×5=45 J/s

A particle moves with a velocity v→=6ı^-4ȷ^+3k^ m/s under the influence of a constant force F→=20i^+15ȷ^-5k^N The instantaneous power applied to the particle is

P=F→·v→=(6ı^-4ȷ^+3k^)·(20i^+15ȷ^-5k^) J/s=6×20-4×15-3×5=45 J/s

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A particle moves with a velocity $\vec{v} = 6 \hat{ı} - 4 \hat{ȷ} + 3 \hat{k}$ m/s under the influence of a constant force $\vec{F} = 20 \hat{i} +$ $15 \hat{ȷ} - 5 \hat{k} N$ The instantaneous power applied to the particle is

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45 J/s

35 J/s

25 J/s

195 J/s

answer is A.

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Detailed Solution

$P = \vec{F} \cdot \vec{v} = (6 \hat{ı} - 4 \hat{ȷ} + 3 \hat{k}) \cdot (20 \hat{i} + 15 \hat{ȷ} - 5 \hat{k})$ J/s

$= 6 \times 20 - 4 \times 15 - 3 \times 5 = 45 J / s$

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A particle moves with a velocity v→=6ı^-4ȷ^+3k^ m/s under the influence of a constant force F→=20i^+15ȷ^-5k^N The instantaneous power applied to the particle is

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A particle moves with a velocity $\vec{v} = 6 \hat{ı} - 4 \hat{ȷ} + 3 \hat{k}$ m/s under the influence of a constant force $\vec{F} = 20 \hat{i} +$ $15 \hat{ȷ} - 5 \hat{k} N$ The instantaneous power applied to the particle is