First-year physics: "All objects fall at the same rate regardless of mass." Advanced physics: "Well, actually..."
This graph brilliantly shows what happens when your ball gets so massive it breaks physics 101. At normal masses, sure, Galileo's right. But increase that mass to lunar levels and suddenly Earth is accelerating toward your "falling" ball too. Keep going to near-collapse mass and congratulations—you've created a black hole with time dilation effects that would make your physics professor weep.
The real punchline? At 11.3 Earth masses, you don't need to worry about fall time because you've basically created a catastrophic gravitational event. Typical lab safety oversight.
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