1. Tardigrade
  2. Question
  3. Physics
  4. A particle moves with a velocity of (4 hat i -2 hat j +2 hat k ) m / s under the influence of a constant force vec F =(10 hat i +3 hat j -2 hat k ) N. The instantaneous power applied to the particle is W.

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Q. A particle moves with a velocity of $(4 \hat{ i }-2 \hat{ j }+2 \hat{ k }) m / s$ under the influence of a constant force $\vec{ F }=(10 \hat{ i }+3 \hat{ j }-2 \hat{ k }) N$. The instantaneous power applied to the particle is___________ $W$.

Work, Energy and Power

Solution:

$P =\vec{F} \cdot \vec{ v }$
$=(4 \hat{ i }-2 \hat{ j }+2 \hat{ k })(10 \hat{ i }+3 \hat{ j }-2 \hat{ k })$
$=40-6-4$
$\therefore P =30\, W$