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Two newly discovered planets follow circular orbits around a star in a distant part of the...

Two newly discovered planets follow circular orbits around a star in a distant part of the galaxy. The orbital speeds of the planets are determined to be 45.3 km/s and 59.3 km/s. The slower planet's orbital period is 7.80 years.

(a) What is the mass of the star? (kg)

(b) What is the orbital period of the faster planet, in years? (yr)

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