A) \[2\sqrt{3}\]
B) \[3\sqrt{2}\]
C) \[6\sqrt{2}\]
D) \[2\sqrt{6}\]
Correct Answer: D
Solution :
Here: mass of the body m = 10 kg Force \[(\overrightarrow{F})=(2\hat{i}+\hat{j}-\hat{k})N\] Initially velocity of the body \[u=0\] time t = 20 sec Acceleration \[\overrightarrow{a}=\frac{\overrightarrow{F}}{m}=\frac{(2\hat{i}+\hat{j}-\hat{k})}{10}\] Hence final velocity of the body \[\overrightarrow{v}=u+\overrightarrow{a}\,t\] \[=0+\left( \frac{2\hat{i}+\hat{j}-\hat{k}}{10} \right)\times 20\] \[=4\hat{i}\,+2\hat{j}-2\hat{k}\] Magnitude of final velocity\[=\sqrt{16+4+4}\] \[=\sqrt{24}=2\sqrt{6}\]
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