Question

A force applied on a body is represented as
$\overrightarrow{F}=6\hat{i}-8\hat{j}+10\hat{k}$
and accelerates it at $1m/s^2$. The mass of the body is _______.

• A. $10kg$
• B. $10\sqrt{2}kg$
• C. $2\sqrt{10}kg$
• D. $8kg$

Answer 1

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

$\overrightarrow{F}=6\hat{i}-8\hat{j}+10\hat{k}$

|$\overrightarrow{F}$| = $\sqrt{(6{)}^2+(-8{)}^2+(10{)}^2}$

= $\sqrt{36+64+100}$

= $10\sqrt{2}$

Now F = ma

$\therefore$ $10\sqrt{2}$ = $m\times 1$

$m$ = $10\sqrt{2}$ kg