Dropping a Black Hole from Tower of Piza

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SUMMARY

This discussion centers on the physics of dropping a black hole with the radius of a softball from the Tower of Pisa. It establishes that while a softball and a black hole would fall towards Earth, the black hole's immense gravitational pull would dominate, causing the softball to fall into the black hole rather than directly downwards. The conversation also questions the validity of Newton's second law in this scenario, particularly regarding the assumptions that all objects fall at the same acceleration regardless of mass. Ultimately, the conclusion is that the black hole's gravity alters the expected outcomes of falling objects.

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Ontophobe
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I get that if you drop a tennis ball and a 10 lb medicine ball from the top of a tower they will both reach the ground at the same time. But what if I dropped a softball and a black hole with the radius of a softball (and the mass of a small planet)? Wouldn't the tremendous gravity of the black hole pull that much harder on the Earth, thereby closing the gap between them faster than the gap between the Earth and the softball?
 
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What does Newton's second law say about the acceleration of the BH?
 
Does the answer bother you?
What are the assumptions in the statement "all objects fall at the same acceleration"?
Are the assumptions still valid here?
 
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Ontophobe said:
if I dropped a softball and a black hole with the radius of a softball

The softball would fall into the black hole, and not down.
 
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