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 $
$20$
$2\sqrt {10} $
$10$
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 $kg$.
${\rm{Mass}} = \frac{{{\rm{Force}}}}{{{\rm{Acceleration}}}} = \frac{{|\vec F|}}{a}$
= $\frac{{\sqrt {36 + 64 + 100} }}{1}$$ = 10\sqrt 2 \;kg$
= $\frac{{\sqrt {36 + 64 + 100} }}{1}$$ = 10\sqrt 2 \;kg$