Question

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

• A. $10 \,kg$
• B. $20\, kg$
• C. $10\sqrt2\,kg$
• D. $2\sqrt10\,kg$

Answer 1

Answer: (C)

$10\sqrt2\,kg$

Answer 2

The correct answer is C:$10\sqrt{2}kg$
Force $(\overrightarrow{F})=6\widehat i-8\widehat j+10\widehat k$ and acceleration $(a) = 1 m/s^2.$
Mass (m)$=\frac{|\overrightarrow{F}|}{a}=\frac{|6\widehat i-8\widehat j+10\widehat k|}{1}$
$=\sqrt{36+64+100}$
$=\sqrt{200}$
$=10\sqrt2\,kg$.