Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §14.4 Cylindrical and Spherical Coordinates, #41 · Multivariable Calculus · Change of variables

Inside the Earth, the force of gravity is proportional to the distance…

Inside the Earth, the force of gravity is proportional to the distance $ρ$ from the center. Reason: The inner ball of radius $ρ$ has mass proportional to ______ (assume constant density). The force is proportional to that mass divided by ______. The rest of the Earth (sphere with hole) exerts no force because ______.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §14.4 Cylindrical and Spherical Coordinates, #41

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