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.

Find the ratio of escape velocities of two planets if values of g on t

1.	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.
Answer» Solution :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