Planet X is very large, having a mass and radius that are, respectively, 293 and 11.5 times that of earth.

Planet X is very large, having a mass and radius that are, respectively, 293 and 11.5 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.