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The moon has a mass of `(1)/(81)` that of the earth and radius of `(1)/(4)` that of the earth. The escape speed from the surface of the earth is 11.2 km`//`s. The escape speed from surface of the moon is-A. 1.25`km//s`B. `2.49km//s`C. `3.7km//s`D. `5.6km//s` |
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Answer» Correct Answer - B On the earth the escape speed is `Ve=sqrt((2GM)/(R_(e)))` on the moon the escape speed is `V_(m) =sqrt((2GM_(m))/(R_(m)))` `(V_(m))/(V_(e)) =sqrt(((M_(m))/(M_(e)))((R_(e))/(R_(m))))` `=sqrt(((1)/(81))((4)/(1)))=2/9` `V_(m) =2/9 V_(e) = 2/9 xx 11.2 "km"//"sec"` `=2.49 km sec^(-1)` |
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