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9th Class Science Gravitation and Floatation Question Bank Gravitation Conceptive Objective Problems

  • question_answer
    When a space ship is at a distance equal to two earth's radius from the centre of the earth, the gravitational acceleration is

    A)  \[\text{19}.\text{6 m}/{{\text{s}}^{\text{2}}}\]                

    B)  \[\text{9}.\text{8 m}/{{\text{s}}^{\text{2}}}\]

    C)  \[\text{4}.\text{9 m}/{{\text{s}}^{\text{2}}}\]                  

    D)  \[\text{2}.\text{45 m}/{{\text{s}}^{\text{2}}}\]

    Correct Answer: D

    Solution :

       From relation, \[g=\frac{GM}{{{r}^{2}}}\] Here, \[r=R+R=2R\] Hence, \[g=\frac{GM}{{{(2R)}^{2}}}=\frac{GM}{4{{R}^{2}}}=\frac{1}{4}\left( \frac{GM}{{{R}^{2}}} \right)=\frac{9.8}{4}=2.45\] \[\therefore g=2.45\,\,m/{{s}^{2}}\]


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