The gas-giant planet Rom (mass 5.7⨯1026 kg) goes around the star Galla (mass 2.0⨯1030 kg) in a circular orbit at a speed of 9.7⨯103 m/s. Note: G = 6.67⨯10-11 N·m2/kg2 i) How far is it from Galla to Rom (from center to center)? ii) What is the period of Rom’s orbit in Earth years?  (One Earth year is 365.25 Earth days.) iii) What is the magnitude of the force on Rom due to the Galla?

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The gas-giant planet Rom (mass 5.7⨯1026 kg) goes around the star Galla (mass 2.0⨯1030 kg) in a circular orbit at a speed of 9.7⨯103 m/s.

Note: G = 6.67⨯10-11 N·m2/kg2

i) How far is it from Galla to Rom (from center to center)?

ii) What is the period of Rom’s orbit in Earth years?  (One Earth year is 365.25 Earth days.)

iii) What is the magnitude of the force on Rom due to the Galla?

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