Problem related to-a thin disk of radius a and mass m

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Question: A thin disk of radius a and mass M lies horizontally; a particle of mass m is at a height h directly above the center of the disk. The gravitational force, F, exerted by the disk on the mass m is given by

F = ((2GMmh)/a2)((1/h) - (1/(a2 + h2)1/2)

where G is a constant. Assume a

(b) Show that the approximation for F obtained by using only the first nonzero term in the series is independent of the radius, a.

(c) If a = 0.02h, by what percentage does the approximation in part (a) differ from the approximation in part (b)?

Reference no: EM131610858

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