Homework Answers
utside the sphere:
ag = GM/R12 with G = gravitation
constant, M = mass of sphere, R1 = radius of sphere.
ag/4 = GM/R22 with R2 = unknown
distance outside of the sphere.
R2/R1 = √{(4GM/(ag))/(GM/(ag)} = √4 =2
R2 = R1*2 = 1.9*2 km =3.8Km
-------------------------
2) inside the sphere:
ag decreases linearly with the radius, and is = 0 at the
center.
So R = R1*1/4 = 1.9/4=0.475 km
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