Question

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

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

Answer 1

Answer: (D)

$10\sqrt{2}kg$

Answer 2

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