Question

A body under the action of a force
$\overrightarrow{F}=6\hat{i}-8\hat{j}+10\hat{k}$, acquires an acceleration of $1m/s^2$. The mass of this body must be

• A. $10$ $kg$
• B. $20$ $kg$
• C. $10\sqrt{2}$ $kg$
• D. $2\sqrt{10}$$kg$

Answer 1

The correct option is C $10\sqrt{2}$ $kg$

$\overrightarrow{F}=6\hat{i}-8\hat{j}+10\hat{k}\left(\overrightarrow{F}\right|=\sqrt{6^2+{(-8)}^2+{10}^2}=10\sqrt{2}NFromsecondlaw,F=ma10\sqrt{2}=m\times 1\Rightarrow m=10\sqrt{2}kg$