A force $\to F = 6 \to i - 8 \to j + 10 \to k$ N produces an acceleration of magnitude $1 m s^{- 2}$ in a body, the mass of the body would be:

10 \sqrt{2} k g

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6 \sqrt{2} k g

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20 k g

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200 k g

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Solution

The correct option is C $10 \sqrt{2} k g$
Given:
$\to F = 6^i - 8^j + 10^k$ and $a = 1 m / s^{2}$
$∣ ∣ \to F ∣ ∣ = \sqrt{6^{2} + (- 8)^{2} + 10^{2}} = \sqrt{200} = 10 \sqrt{2}$ and
$F = m a$ or $m = \frac{F}{a} = \frac{10 \sqrt{2}}{1}$
Thus, the mass of the body is $10 \sqrt{2} k g$

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