Posted by hanu on Wednesday, September 19, 2012 at 5:53am.
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.
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