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) Mass $=\frac{\text { Force }}{\text { Acceleration }}=\frac{|\vec{F}|}{a}$$=\frac{\sqrt{36+64+100}}{1}=10 \sqrt{2} kg$

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