A particle moves with a velocity \( \overrightarrow{\mathrm{v}}=(5 ...

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A particle moves with a velocity \( \overrightarrow{\mathrm{v}}=(5 \mathrm{i}-3 \mathrm{j}+6 \mathrm{k}) \) \( \mathrm{m} / \mathrm{s} \) under the influence of a constant force \( \overrightarrow{\mathrm{F}}=(10 \hat{\mathrm{i}}+10 \hat{\mathrm{j}}+20 \hat{\mathrm{k}}) \mathrm{N} \). The instantaneous power
\( P \) applied to the particle is :
(1) \( 200 \mathrm{~J} / \mathrm{s} \)
(2) \( 40 \mathrm{~J} / \mathrm{s} \)
(3) \( 140 \mathrm{~J} \)
(4) \( 170 \mathrm{~J} / \mathrm{s} \)
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