A particle moves with a velocity v , = ,5 i - 3 j + 6 k , ,m/s un… - Vidyadip

MCQ

A particle moves with a velocity $\vec v\, = \,5\hat i - 3\hat j + 6\hat k\,\,m/s$ under the influence of a constant force $\vec F\, = \,10\hat i + 10\hat j + 20\hat k$. Instantaenous power will be ............... $J/s$

A
$200$
B
$40$
✓
$140 $
D
$170$

✓

Answer

Correct option: C.

$140 $

c
$P = \vec F.\vec v$$ = (10\hat i + 10\hat j + 20\hat k).(5\hat i - 3\hat j + 6\hat k) $

$= 50 - 30 + 120 = 140\,J{\rm{ - }}{s^{ - 1}}$

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