Manipal Medical Manipal Medical Solved Paper-2009

  • question_answer
    A research satellite of mass 200 kg circle the earth in an orbit of average radius\[\frac{3R}{2},\]where is the radius of the earth. Assuming the gravitational pull on a mass of 1 kg on the earths surface to. be 10 N, the pull on the satellite will be

    A)  880 N          

    B)  889 N

    C)  890 N

    D)  892 N

    Correct Answer: B

    Solution :

    Given, \[10=\frac{G\times 6\times {{10}^{24}}\times 1}{{{(6.4\times {{10}^{6}})}^{2}}}\] \[\Rightarrow \] \[G=6.82\times {{10}^{-11}}N{{m}^{2}}/k{{g}^{2}}\] Therefore, \[{{F}_{satellite}}=\frac{6.82\times {{10}^{-11}}\times 6\times {{10}^{24}}\times 200}{{{\left( \frac{3\times 6.4\times {{10}^{6}}}{2} \right)}^{2}}}\] \[=889N\]


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