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Chapter 13: Q.41 - Excercises And Problems (page 354)

A rogue black hole with a mass 12times the mass of the sun drifts into the solar system on a collision course with earth. How far is the black hole from the center of the earth when objects on the earth鈥檚 surface begin to lift into the air and 鈥渇all鈥� up into the black hole? Give your answer as a multiple of the earth鈥檚 radius.

Short Answer

Expert verified

Distance of blackhole from center of earth2000Re

Step by step solution

01

Given information

we have mass of earthMe=5.972脳1024kg

Mass of black holeMb=12脳Msun=12脳1.989脳1030kg=23.868脳1030kg

02

Explanation

Object start to lift in air when net force on them becomes zero

GMbmx2=GMsunmR2eMbx2=MeR2ex=MbMeRex=23.868脳10305.972脳1024Rex=1999.16Re

So, distance of blackhole from center of earth will be=x+Re

=1999.16Re+Re=2000.16Re

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