Question

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

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

Answer 1

Answer: (B)

$10\sqrt{2}$kg

Given,

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

$a=1m/s^2$

The magnitude of the force,

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

$F=\sqrt{200}N$

The mass of the body is given as:

$F=ma$

$ma=10\sqrt{2}$

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

$m=10\sqrt{2}kg$

The correct option is B.