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NEET Sample Paper NEET Sample Test Paper-84

  • question_answer
    The gravitational field in a region is given by \[\to \]\[g=5N/kg\,\hat{i}+12N/kg\,\hat{j}.\] The change in the gravitational potential energy of a particle of mass 1 kg when it is taken from the origin to a \[\left( 7\,m,-3\,m \right)\] is:

    A) 71 J                 

    B)        \[13\sqrt{58}\]J

    C) \[-71\]J 

    D)        1 J

    Correct Answer: D

    Solution :

    [d] Gravitational field, \[I=(5\hat{i}+12\hat{j})\,\,N/g\]             \[I=-\frac{dv}{dr}\] \[v=-\left[ \int\limits_{0}^{x}{{{I}_{x}}dx+\int\limits_{0}^{y}{{{I}_{y}}dy}} \right]\] \[=-\,[{{I}_{x}}\cdot x+{{I}_{y}}\cdot y]\] \[=-\,[5(7-0)+12(-\,3-0)]\] \[=-\,[35+(-\,36)]=1\,J/kg\] i.e., change in gravitational potential 1 J/kg Hence change in gravitational potential energy 1J


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