Problem 76 of Chapter 13 explored what happened to a person falling into a hole extending all the way through Earths center and out the other side, assuming that g(r) g 0 (1r R E ) for points inside Earth (r E) Prove this assumption, treating Earth as a uniform sphere and using the gravitational ve...

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Problem 76 of Chapter 13 explored what happened to a person falling into a hole extending all

Question:

Problem 76 of Chapter 13 explored what happened to a person falling into a hole extending all the way through Earth’s center and out the other side, assuming that g(r) = g₀(1r/R_E) for points inside Earth (r E). Prove this assumption, treating Earth as a uniform sphere and using the gravitational version of Gauss’s law:

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