A force vector applied on a mass is represented as F→=6i^−8j^+10k^ and accelerates with 1m/s2.What will be the mass of the body

A force vector applied on a mass is represented as $\vec{F} = 6 \hat{i} - 8 \hat{j} + 10 \hat{k}$ 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

Solution:

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

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