9th Class Science Gravitation and Floatation Question Bank Gravitation and Pressure

  • question_answer
    A body weighs \[72\,\,N\] on the surface of the earth. What is the gravitational force on it at a height equal to half the radius of the earth from the surface?

    A) \[72\,\,N\]                     

    B) \[28\,\,N\]

    C) \[16\,\,N\]         

    D)        \[32\,\,N\]  

    Correct Answer: D

    Solution :

     \[W\]on the earth's surface\[=72\,\,N=mg\],          \[h=\frac{R}{2}\]             \[{{g}_{h}}=\frac{g}{{{\left( 1+\frac{h}{R} \right)}^{2}}}=\frac{g}{{{\left( 1+\frac{1}{2} \right)}^{2}}}=\frac{g}{9}(4)\]\[W\] at a height\[=m{{g}_{h}}\]             \[=m\times g\left( \frac{4}{9} \right)=72\times \frac{4}{9}=32\,\,N\]


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