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Find the ratio of escape velocities of t...

Find the ratio of escape velocities of two planets if values of g on the two planets are `9.8m//s^2` and `3.3m//s^2` and their radii are 6400km and 3400km respectively.

Text Solution

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The escape velocity in times of g and R is
The ratio of escape velocities
`V_(e1)/V_(e2)=sqrt((g_1R_1)/(g_2R_2))`
`V_(e1)/V_(e2)=sqrt((9.8/3.3)(6400/3400))=2.364/1`
`V_(e1):V_(e2)`=2.364:1
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