Question

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

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

Answer 1

$m = \frac{F}{a} = \frac{\sqrt{6^{2} + 8^{2} + 10^{2}}}{1} = \sqrt{200} = 10\sqrt{2}kg$