SOLUTION: This is an old homework problem I missed and haven't been able to figure out since. Please help if you can...? Planet X is very large, having a mass and radius that are, resp

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Question 512725: This is an old homework problem I missed and haven't been able to figure out since. Please help if you can...?
Planet X is very large, having a mass and radius that are, respectively, 338 and 13.8 times that of earth. Suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. Each object falls the same distance before striking the ground. Determine the ratio of the time of fall on planet × to that on earth.


Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
gravitational force is directly proportional to the mass and inversely proportional to the square of the distance

so gravitational acceleration on X is [338 / (13.8^2)] times that on Earth

the time that it takes an object to fall a given distance (from rest) is inversely proportional to the square root of the acceleration (h = .5gt^2)

so tX /tE = [sqrt(338)] / 13.8