Question

A force vectore applied on a mass is represented by $\overrightarrow{F}=6\hat{i}-8\hat{j}+10\hat{k}$ and acceleration with 1 $m/s^2$. What is the mass of the body ?

• A. 10 kg
• B. 10$\sqrt{2}kg$
• C. 10$\sqrt{4}kg$
• D. 10$\sqrt{3}kg$

Answer 1

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

Given that,

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

Acceleration, $a=1m/s^2$

The magnitude of force,

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

$\left|F\right|=10\sqrt{2}N$

Force is given by,

$F=ma$

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

$m=10\sqrt{2}Kg$