Find the ratio of escape velocities of two planets if values of g on two planets are 9.8m//s^(2) and 3.3 m//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 two planets are 9.8m//s^(2) and 3.3 m//s^(2) and their radii are 6400km and 3400km respectively.
Answer» Solution :The escape velocity in TIME 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)=2.3641.`