9th Class Science Work and energy Question Bank Work, Energy and Power

  • question_answer
    An engine can pump \[40,000\] litres of water to a vertical height of \[35\] metres in \[5\] minutes. Calculate the gravitational potential energy of water at the given height.

    A) \[39.2\times {{10}^{4}}J\]       

    B)        \[1.4\times {{10}^{6}}J\]

    C) \[1.37\times {{10}^{7}}J\]         

    D)        \[8.5\times {{10}^{-3}}J\]

    Correct Answer: C

    Solution :

    \[\text{1000}\,\,\text{litres=1}\,\,{{\text{m}}^{\text{3}}}\] Volume of water\[\text{=40,000}\,\,\text{litres}\]                         \[\text{=}\frac{\text{40,000}}{\text{1000}}\text{=40}\,\,{{\text{m}}^{\text{3}}}\] Mass of water, \[m=\] density \[\times \] volume         \[=1000\times 40=40,000\,\,kg\] \[P.E.=mgh=40,000\times 9.8\times 35\]         \[=1.37\times {{10}^{7}}J\]


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