How does escape velocity relate to black holes?

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Study for the NOVA Black Hole Apocalypse Astronomy Test. Explore astronomy with our rich content. Use flashcards and multiple-choice questions to enhance your knowledge. Prepare effectively and uncover the mysteries of black holes. Get ready for your exam!

Multiple Choice

How does escape velocity relate to black holes?

Explanation:
Escape velocity is the speed needed to break free from a body's gravity. For a black hole, the radius where escaping would require light-speed marks the event horizon. At that boundary, the escape speed equals the speed of light, so nothing can escape from inside or across it. If you’re outside that radius, escape is possible but requires speeds determined by the same relation v_escape ≈ sqrt(2GM/r); setting v_escape equal to c defines the Schwarzschild radius r_s = 2GM/c^2. This is why light cannot escape a black hole: beyond the horizon, the required speed to escape would have to exceed what light can do.

Escape velocity is the speed needed to break free from a body's gravity. For a black hole, the radius where escaping would require light-speed marks the event horizon. At that boundary, the escape speed equals the speed of light, so nothing can escape from inside or across it. If you’re outside that radius, escape is possible but requires speeds determined by the same relation v_escape ≈ sqrt(2GM/r); setting v_escape equal to c defines the Schwarzschild radius r_s = 2GM/c^2. This is why light cannot escape a black hole: beyond the horizon, the required speed to escape would have to exceed what light can do.

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