How fast would a 106-kg object have to be moving at this height to have zero energy?

This question is inconclusive considering you are not representing either kinetic or potential energy. It would just have to be laying on the ground stagnant to have neither potential or kinetic energy.

Explanation:

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 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 jupiter to that on earth.