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InterviewSolution
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A rocket is fired from the earth to the moon. The distance between the earth and the moon is r and the mass of the earth is 81 times the mass of the moon. The gravitational force on the rocket will be zero when its distance from the moon isA. `(r)/(20)`B. `(r)/(15)`C. `(r)/(10)`D. `(r)/(5)` |
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Answer» Correct Answer - c Let the rocket be at a distance x from the moon the gravitational force on it is zero. Its distance from earth `=r-x`. Gravitational force on rocket due to earth is `F_(e)=(GmM_(e))/((r-x)^(2))` Gravitational force on rocket due to moon is `F_(m)=(GmM_(m))/(x^(2))` `F_(e)=F_(m)` `(r-x)/(x)=sqrt((M_(e))/(M_(m)))=sqrt(81)=9` `x=(r)/(10)` |
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