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

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4-1.Newton's Laws of Motion

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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 in $kg$.

A$10\sqrt 2 $

B$20$

C$2\sqrt {10} $

D$10$

Solution

(a) ${\rm{Mass}} = \frac{{{\rm{Force}}}}{{{\rm{Acceleration}}}} = \frac{{|\vec F|}}{a}$
= $\frac{{\sqrt {36 + 64 + 100} }}{1}$$ = 10\sqrt 2 \;kg$

Standard 11

Physics

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