Question

A force vector applied on a mass is represented as $\overrightarrow{F}=6\hat{i}-8\hat{j}+10\hat{k}$ and the magnitude of acceleration of the body is 1 $m/s^2$. What will be the mass of the body in kg.

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

Answer 1

The correct option is A $10\sqrt{2}$

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

$a=1m/s^2$

$\left|F\right|=\sqrt{6^2+8^2+{10}^2}$

$=10\sqrt{2}$

$\left|F\right|=ma$

$10\sqrt{2}=m\ast 1$

$m=10\sqrt{2}Kg$