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Classical Mechanics problem: Suppose you are on a perfectly spherical planet and measure the free-fall acceleration to...

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Physics

Classical Mechanics problem:

Suppose you are on a perfectly spherical planet and measure thefree-fall acceleration to be g = g0 at the North Pole.(This planet is not necessarily Earth!) At the equator, you measureg = λg0 (with 0 ≤ λ ≤ 1). Find g(θ), the free-fallacceleration at colatitude θ as a function of θ.

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