J & K CET Medical J & K - CET Medical Solved Paper-2007

  • question_answer
    A body of mass 10 kg is acted upon by two forces each of magnitude 10N making an angle of 60° with each other. Find the net acceleration of the body.

    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 kg \[\therefore \] \[Acceleration=\frac{force}{mass}\]                                 \[=\frac{10\sqrt{3}}{10}\] \[=\sqrt{3}m/{{s}^{2}}\]


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