**Problem:**An African elephant is walking along when a mini-black hole suddenly appears directly above him. The mass of the black hole is so great that its gravity is able to lift the elephant from the Earth. How close must the mini-black hole be to the elephant’s center of mass in order to just overcome the downward pull of Earth’s gravity? (Treat the mass of the elephant as if it’s concentrated at the elephant’s center.)**Given:**- Mass of Earth \( M_E = 6.97 \times 10^{24} \) kg- Mass of mini-black hole \( M_{BH} = 4.17 \times 10^{12} \) kg- Radius of Earth \( R_E = 6.40 \times 10^6 \) meters- Mass of elephant (not needed)**Diagram:**The image shows an African elephant positioned on the ground between two palm trees. Above the elephant, aligned with its center of mass, is a mini-black hole labeled “mini black hole”. The vertical distance between the black hole and the elephant's center is labeled as \( d \).

Answered: Image /qna-images/answer/96315a20-fdd7-433c-85fb-26877143d386.jpg

An African elephant is walking along when a mini-black hole suddenly appears directly above him. The mass of the black hole is so great that its gravity is able to lift the elephant from the Earth. How close must the mini-black hole be to the elephant's center of mass in order to just overcome the downward pull of Earth's gravity? (Treat the mass of the elephant as if it's concentrated at the elephant's center. Mass of Earth MẸ = 6.97 x 1024 kg Mass of mini-black hole MBH = 4.17 x 1012 kg Radius of Earth RE Mass of elephant (not needed) = 6.40 x 106 meters

An African elephant is walking along when a mini-black hole suddenly appears directly above him. The mass of the black hole is so great that its gravity is able to lift the elephant from the Earth. How close must the mini-black hole be to the elephant's center of mass in order to just overcome the downward pull of Earth's gravity? (Treat the mass of the elephant as if it's concentrated at the elephant's center. Mass of Earth MẸ = 6.97 x 1024 kg Mass of mini-black hole MBH = 4.17 x 1012 kg Radius of Earth RE Mass of elephant (not needed) = 6.40 x 106 meters

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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