Q. A force vector applied on a mass is represented as $\overrightarrow{F} = 6\widehat{i} - 8\widehat{j} + 10\widehat{k}$ and accelerates with $1\ m/s^{2}$. What will be the mass of the body
A) $10\sqrt{2}\ kg$
B) $2\sqrt{10}\ kg$
C) $10\ \ kg$
D) $20\ kg$
Explanation
(a) $m = \frac{F}{a} = \frac{\sqrt{6^{2} + 8^{2} + 10^{2}}}{1} = \sqrt{200} = 10\sqrt{2}\ kg$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.