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At what distance (in metre) from the centre of the Moon,the intensity of gravitational field will be zero? (Take, mass of Earth and Moon as `5.98xx10^(24)` kg and `7.35xx10^(23)` kg respectively and the distance between Moon and Earth is `3.85xx10^(8)`m)A. zeroB. `3.90xx10^(7)`C. `8xx10^(8)`D. `3.46xx10^(8)` |
Answer» Given mass of earth `M_(e )=5.98xx10^(24)`kg mass of moon `M_(m)=7.35xx10^(22)` kg let x be the distance of the point from the centre of earth where gravitional intensity is zero therefore `(GM_(e ))/(x^(2))=(GM_(m))/(3.85xx10^(8)-x)^(2)` `(x)/(3.85xx10^(8)-x)=sqrt(M_(e))/(M_(m))=sqrt(5.98xx10^(24))/(7.35xx10^(2))=9` `rarr x=9xx3.85xx10^(8)//10` `=3.46xx10^(8)` m |
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