A distant planet has a mass of 0.6400 ME and a radius of 0.9000 RE. What is the ratio of the escape speed from this planet to the escape speed from the earth?

1 answer

since v^2 = 2GM/r,
replacing with the new values gives a new v, with the ratio

vnew^2/vold^2 = 2G(.64M)/(.9r) / 2GM/r
= 0.711
So, vnew/vold = 0.84