a space traveller determines the radius of a planet to be half of earth . After landing on its surface , he finds the acceleration due to gravity to be twice of that of surface of earth. Find the ratio of mass of planet to the earth
earth - Steve, Wednesday, September 19, 2012 at 1:55pm
acceleration on earth: GM/r^2
acceleration on planet X: GM'/(r/2)^2
GM'/(r/2)^2 = 2GM/r^2
4M'/r^2 = 2M/r^2
M' = M/2
makes sense, since with the same mass and half the radius, the force would be 4 times as much.