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A black hole is an object so heavy that neither matter nor even light can escape the influence of its gravitational field. Since no

 

A black hole is an object so heavy that neither matter nor even light can escape the influence of its gravitational field. Since no light can escape from it, it appears black. Suppose a mass approximately the size of the Earth's mass 6.72 x 1024 kg is packed into a small uniform sphere of radius r. Use: The speed of light c = 2.99792 108 m/s. The universal gravitational constant G 6.67259 10-11 Nm/kg. = Hint: The escape speed must be the speed of light. Based on Newtonian mechanics, determine the limiting radius ro when this mass (approx- imately the size of the Earth's mass) becomes a black hole. Answer in units of m.

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