MCQ
A force vector applied on a mass is represented as $\vec F = 6\hat i - 8\hat j + 10\hat k$ and accelerates with $1\;m/{s^2}$. What will be the mass of the body in $kg$.
  • $10\sqrt 2 $
  • B
    $20$
  • C
    $2\sqrt {10} $
  • D
    $10$

Answer

Correct option: A.
$10\sqrt 2 $
a
(a) ${\rm{Mass}} = \frac{{{\rm{Force}}}}{{{\rm{Acceleration}}}} = \frac{{|\vec F|}}{a}$

= $\frac{{\sqrt {36 + 64 + 100} }}{1}$$ = 10\sqrt 2 \;kg$

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