How do black holes relate to Newton's law of universal gravitation?
Newtonian gravitation applies to black holes at a distance.
A black hole's gravitational pull is felt by objects, and they can orbit it. Up close, a black hole is just another body, subject to Newton's laws of gravity.
Newton's laws of gravity deviate closer to a black hole due to relativistic effects.
Relativistic effects like time dilation will be felt by objects orbiting nearer to the black hole because of their increased speed.
The effects of General Relativity will be felt by objects approaching the black hole: time will slow down and gravitational tidal effects will manifest.
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Newton's law states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. With regard to black holes, this means that their massive mass creates an extraordinarily strong gravitational field that draws nearby objects towards them with great force. This gravitational pull is consistent with Newton's law of universal gravitation, but it becomes especially significant near black holes because of their extraordinary mass concentration.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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