A body, under the action of a force $\vec{F}=5 \hat{i}-12 \hat{j}+13 \hat{k}$, acquires an accelerat

Question

A body, under the action of a force $\vec{F}=5 \hat{i}-12 \hat{j}+13 \hat{k}$, acquires an acceleration of $1 \mathrm{~m} / \mathrm{s}^{2}$. The mass of this body must be\

Professor PC Thomas Classes · Answer

(c) : $\vec{F}=5 \hat{i}-12 \hat{j}+13 \hat{k}$ 
$ |\vec{F}|=\sqrt{25+144+169}=\sqrt{338} \mathrm{~N}=13 \sqrt{2} \mathrm{~N} $
 Acceleration, $a=1 \mathrm{~m} \mathrm{~s}^{-2}$\ $	herefore$ Mass, $M=\frac{13 \sqrt{2}}{1}=13 \sqrt{2} \mathrm{~kg}$\