Identical masses m hang from strings on a balance at the surface of Earth. The strings have negligible mass and differ in length by h. Assume that Earth is spherical, with density of 5.5 g/cm^3.
a) Show that the difference ∆W in the weights, due to one mass being closer to Earth than the other, is 8ÀGpmh/3
b) Find the difference in length that will give a ratio ∆W/W = 1*10^-6, where W is either weight
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