A body, under the action of a force $\overrightarrow{\mathrm{F}}=6 \hat{\mathrm{i}}-8 \hat{\mathrm{j}}+10 \hat{\mathrm{k}}$, acquires an acceleration of $1 \mathrm{~m} / \mathrm{s}^2$. The mass of this body must be :

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Aicharya · Accepted Answer

$\begin{aligned} \overrightarrow{\mathrm{F}} & =6 \hat{\mathrm{i}}-8 \hat{\mathrm{j}}+10 \hat{\mathrm{k}} \ |\overrightarrow{\mathrm{F}}| & =\sqrt{6^2+8^2+10^2}=10 \sqrt{2} \ \mathrm{~m} & =\frac{|\overrightarrow{\mathrm{F}}|}{\mathrm{a}}=\frac{10 \sqrt{2}}{1}=10 \sqrt{2} \mathrm{~kg} \end{aligned}$

A body, under the action of a force $\overrightarrow{\mathrm{F}}=6 \hat{\mathrm{i}}-8 \hat{\mathrm{j}}+10…

Solution