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. m R m V m

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D) Find an expression for the total mechanical energy of the planet at point A in terms of m, G, and R.

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.
m
R
m
V
m
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. m R m V m
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