A mystery planet and its moon are found revolving around a nearby star. The star is...

A mystery planet and its moon are found revolving around a nearby star. The star is a K3 Main Sequence star with a mass of approximately 0.8 M☉ and a radius of 0.78 R☉. The planet is believed to be terrestrial (Earth-like, and therefore of a similar density) and has an observed orbital period of 243 days. The moon orbits the planet every 13.2 hours with an average orbital radius of 19,600 km. Using this information, find:

(a)the orbital radius of the planet,

(b)the distance at which another planet in the system would have an orbital speed of 24,000 m/s,

(c)the point between the star and the planets at which the net force on a spacecraft would be zero, and

(d)the period of a 80-cm long simple pendulum with a mass of 30 grams that is swinging on the planet’s surface

Expert Solution

genius_generous answered 1 year ago

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