Consider a spherical shell planet that is to be built from solid iron, with density 7.9 x 103 kg/m[sup]3[/sup]. The thickness, t, of the shell is the difference between the inner and outer radius, t = R - a.1. Show that if t << a, then the value of g is directly proportional to t and independent of the radii values.
2.What is t for g = 10 m/s[sup]2[/sup]? (The answer to this last question will give an idea of how large R and a must be for this approximation to be valid.)
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