KVPY Sample Paper KVPY Stream-SX Model Paper-25

  • question_answer
    The work done by the force \[\vec{F}=A\,({{y}^{2}}\hat{i}+2{{x}^{2}}\hat{j}),\] where A is a constant and x & y are in meters around the path shown is:

    A) zero      

    B) A d

    C) \[A\,{{d}^{2}}\]

    D) \[A\,{{d}^{3}}\]

    Correct Answer: D

    Solution :

    \[W=\int{\vec{F}\cdot d\bar{x}}=\int{A\,({{y}^{2}}\,}\hat{i}+2{{x}^{2}}\hat{j})\cdot (dx\,\hat{i}+dy\cdot \hat{j})\]

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