A) \[2\sqrt{3}m/{{s}^{2}}\]
B) \[\sqrt{3}m/{{s}^{2}}\]
C) \[3\sqrt{3}m/{{s}^{2}}\]
D) \[4\sqrt{3}m/{{s}^{2}}\]
Correct Answer: B
Solution :
\[{{F}_{net}}=\sqrt{F_{1}^{2}+F_{2}^{2}+2{{F}_{1}}{{F}_{2}}\,\,\cos \,\,\theta }\] \[=\sqrt{{{(10)}^{2}}+{{(10)}^{2}}+2\times 10\times 10\times \cos \,{{60}^{o}}}\] \[=\sqrt{100+100+100}=10\sqrt{3}\] Mass of the body \[=10\text{ }kg\] \[\therefore \] \[Acceleration=\frac{force}{mass}\] \[=\frac{10\sqrt{3}}{10}=\sqrt{3}m/{{s}^{2}}\]
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