Question

A force $\overset{\rightarrow}{F} = 8\overset{\hat{}}{i} - 6\overset{\hat{}}{j} - 10\overset{\hat{}}{k}$Newton produces an acceleration of 1 ms^–2 in a body. The mass of the body is –

• A. 10 kg
• B. $10\sqrt{2}$ kg
• C. $10\sqrt{3}$kg
• D. 200 kg

Answer 1

Answer: (B)

$10\sqrt{2}$ kg

Answer 2

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