Two moons X and Y revolve around Jupiter in nearly circular orbits

PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Two moons X and Y revolve around Jupiter in nearly circular orbits. For moon X the orbital radius is 5.0×105 km5.0 \times 10^{5}\,\text{km} and the orbital period is 2.0 days2.0\,\text{days}. (a) Moon Y completes one revolution in 8.0 days8.0\,\text{days}. Determine the orbital radius of moon Y. (b) By what percentage is the orbital radius of moon Y larger than that of moon X? (Give your answer correct to two significant figures.)

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