A) Find an expression for the speed v of the mass at point A in terms of R, m and G (B) Find an expression for the time period T of rotation of the planets in terms of R, m and G.

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A) Find an expression for the speed v of the mass at point A in terms of R, m and G

(B) Find an expression for the time period T of rotation of the planets in terms of R, m and G.

Four planets of equal mass m are rotating with speed v in a circular orbit of radius R. The four
planets at any instant are at the four corners of a square circumscribed by a circle of radius R as
shown below. You can leave your answers in terms of radicals (i.e square roots), otherwise, you
must simplify your results.
V
m
R
m
m
V
V
Transcribed Image Text:Four planets of equal mass m are rotating with speed v in a circular orbit of radius R. The four planets at any instant are at the four corners of a square circumscribed by a circle of radius R as shown below. You can leave your answers in terms of radicals (i.e square roots), otherwise, you must simplify your results. V m R m m V V
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