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NEET Sample Paper NEET Sample Test Paper-53

  • question_answer
    A particle of mass m is moving in X-Y plane under the action of a central force \[\overline{F}\] in such a mannar that at any instant t, the components of the veloicity of the particle are- \[{{V}_{x}}=4\text{ }cos\text{ }t,\text{ }{{v}_{y}}=4\text{ }sint\text{ }t\] Then the amount of the work done by the force in a time interval \[t=0\] to t is-

    A) zero                              

    B) 4F

    C) 4F/t                              

    D) none of the above

    Correct Answer: A

    Solution :

    \[v=\sqrt{v_{x}^{2}+v_{y}^{2}}\] \[{{v}_{t}}_{\,=\,0}=4\text{ }m/s\] \[{{v}_{t}}_{\,}=\,\,4\,m/s\] \[W=\frac{1}{2}m(v_{t}^{2}-v_{0}^{2})=0\]


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