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Chapter 1, Problem 136E

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QUESTION:

In 1999, scientists discovered a new class of black holes with masses 100 to 10,000 times the mass of our sun that occupy less space than our moon. Suppose that one of these black holes has a mass of 1 x 103 suns and a radius equal to one-half the radius of our moon. What is the density of the black hole in g/cm3? The radius of our sun is 7.0 x 105 km and it has an average density of 1.4 x 103 kg/m3 . The diameter of the moon is 2.16 x 103 miles.

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QUESTION:

In 1999, scientists discovered a new class of black holes with masses 100 to 10,000 times the mass of our sun that occupy less space than our moon. Suppose that one of these black holes has a mass of 1 x 103 suns and a radius equal to one-half the radius of our moon. What is the density of the black hole in g/cm3? The radius of our sun is 7.0 x 105 km and it has an average density of 1.4 x 103 kg/m3 . The diameter of the moon is 2.16 x 103 miles.

ANSWER:

Problem 136EIn 1999, scientists discovered a new class of black holes with masses 100 to 10,000 times themass of our sun, but occupying less space than our moon. Suppose that one of these blackholes has a mass of 1 × 10 suns and a radius equal to one-half the radius of our moon.What is the density of the black hole in gcm The radius of our sun is7.0 × 10 km is 5and it has an average density of 1.4 × 10 kg/m The diameter of the moon is 2.16 × 10 3miles.AnswerStep 1 of 7From the given, 5The radius of the sun = 7.0 × 10 kmLet’s convert the Kilometers into meters. 1Km = 1000 m 5 1000 m 7.0 × 10 km × 1 Km 8 = 7.0 × 10 m

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