Exercise 3.26: Gravity within the Earth
As we’ve noted repeatedly, the math for gravity is structurally the same as that for electrical force. Thus, the same results apply to it. Assuming the earth’s density to be constant (loosely true), find how the acceleration due to gravity (what we call g at the surface) varies as a function of radius r when you’re within the Earth. Call the radius of the Earth r⊕. The answer you get should look like the subterranean portion of this:
Exercise 3.26: Gravity within the Earth As we’ve noted repeatedly, the math for gravity is structurally...