Two planets P1 and P2 orbit around a star S in circular orbits with speeds v₁ = 43.0 km/s, and v₂ = 59.2 km/s respectively. (a) If the period of the first planet P₁ is 700 years what is the mass, in kg, of the star it orbits around? × The gravitational force of the star on the planet supplies the centripetal force needed to keep the planet in its circular orbit. kg (b) Determine the orbital period, in years, of P2 2 × Consider the relationship between the orbital speed and the orbital period in terms of the known variables. yr

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Two planets P1 and P2 orbit around a star S in circular orbits with speeds v₁ = 43.0 km/s, and v₂ = 59.2 km/s respectively.
(a) If the period of the first planet P₁ is 700 years what is the mass, in kg, of the star it orbits around?
×
The gravitational force of the star on the planet supplies the centripetal force needed to keep the planet in its circular orbit. kg
(b) Determine the orbital period, in years, of P2
2
×
Consider the relationship between the orbital speed and the orbital period in terms of the known variables. yr
Transcribed Image Text:Two planets P1 and P2 orbit around a star S in circular orbits with speeds v₁ = 43.0 km/s, and v₂ = 59.2 km/s respectively. (a) If the period of the first planet P₁ is 700 years what is the mass, in kg, of the star it orbits around? × The gravitational force of the star on the planet supplies the centripetal force needed to keep the planet in its circular orbit. kg (b) Determine the orbital period, in years, of P2 2 × Consider the relationship between the orbital speed and the orbital period in terms of the known variables. yr
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