An astronaut of length 1.7 m is falling into a black hole of mass equals to 1000 times the mass of the Sun. At what distance from the black hole the difference between the acceleration due to black hole's gravity between her head and her feet equals to 20 m/s? Hint: Use calculus to find the rate of change of the acceleration due to the change in the istance equals to the length of the astronaut)
An astronaut of length 1.7 m is falling into a black hole of mass equals to 1000 times the mass of the Sun. At what distance from the black hole the difference between the acceleration due to black hole's gravity between her head and her feet equals to 20 m/s? Hint: Use calculus to find the rate of change of the acceleration due to the change in the istance equals to the length of the astronaut)
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Transcribed Image Text:2- An astronaut of length 1.7 m is falling into a black hole of mass equals to 1000 times the
mass of the Sun. At what distance from the black hole the difference between the
acceleration due to black hole's gravity between her head and her feet equals to 20 m/s?
(Hint: Use calculus to find the rate of change of the acceleration due to the change in the
distance equals to the length of the astronaut)
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