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Jun 7, 2017 at 15:26 history edited Stephen Voris CC BY-SA 3.0
Added note on what amount of mass is being referred to in the first paragraph
Jun 7, 2017 at 3:18 comment added JDługosz So edit that into the Answer. (then we clean up the comments)
Jun 6, 2017 at 17:52 comment added Stephen Voris The OP specified "on Earth", which I took to mean "on the Earth's surface"; "bigger gravitational force than the Earth" and "smaller force than the Sun" I took to mean "somewhere in the Earth/Sun range", and figured I'd give the least-apocalyptic end of things (the Earth-level force) a brief description before getting into the rest of it.
Jun 6, 2017 at 11:56 comment added JDługosz «everything closer to the object than to the Earth's center of mass is going to start falling towards the object » you are assuming some specific mass and size that the OP did not explain. Can you elaborate on how you interpreted it?
Jun 5, 2017 at 22:31 history answered Stephen Voris CC BY-SA 3.0