Why do objects of different sizes fall at the same speed, even though gravity has a larger pull on larger objects?

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Why do objects of different sizes fall at the same speed, even though gravity has a larger pull on larger objects?

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The Newtonian answer is that the increased gravitational pull has to act on a larger mass, so the acceleration ends up the same. a = f/m, but fn/mn = a also.

The Einsteinian answer is that the masses are irrelevant (as long as they’re insignificant compared to the planet or moon) because they’re simply moving at constant speeds through curved spacetime, and it’s actually the planet/moon’s surface that accelerating up towards them.

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