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Question

it’s not what you eat but what you it’s not what you eat but what you it’s not what you eat but what you Show how you obtained the radius in your report. From your graph you have this in units of Jupiter's radius. How big is Jupiter's real radius, in meters? Look it up and include that in your report. You must include the reference! Record the actual semi-major axes of the moons in meters. You will then convert this distance into Astronomical Units (Au). Record your conversion factor and your referen ee riods of the Monsdays Europa Period of Orbit: 10 days Europa days Callisto daysdays Ganymede Convert your findings to years. years Europayears Ganymede years Callisto Choose any one of the moons and describe clearly and in detail how you got the period and show your calculations. Attach addition paper as needed.) Part II: Orbital Radii years Jupiter's Radius reference: meters; meters, reference Orbital radii: In Jupiter radii (JR) Io JR Ganymede Orbital radii: in meters JR Europa R Callisto m Europa m Ganymede_m Callisto- Orbital radii: in Astronomical Units AU Europa AU Ganymede AU Callisto- Choose any one of the moons and describe clearly and in detail how you got the radius and show your calculations. Attach addition paper as needed.) Part III: Mass of Jupiter Jupiter's mass: in Solar Mass units (MO) Using 10:- Europa: Using Ganymede: Average value (Use this space to show a sample calculation for one of the moons. Attach addition paper as needed.) Convert from Solar Mass units to kilograms: MO Using MO MO Using Callisto: MO kg; reference: mass of Jupiter kg: reference: Average mass of Jupiter Actual mass of Jupiter:kg (accepted value) kg (your value) Percent Error: (Explain how you converted the mass of Jupiter from Solar Mass units to kilograms, how you got your percent error and show your calculations. Attach addition paper as needed.)

Explanation / Answer

Answer

Part I

Period of orbit of Io= 1.75days, 0.004years

Europa-3.54days.0.009years

Ganymede-7.16days 0.01years

Callisto-17days, 0.04years

Part II

Radius of Jupiter-69.911million meters

1AU= 1495 97870700m=

Io radii-4.2x10^8m2.8x10^-3AU

Europa-6.7x10^8m 4.5x10^-3AU

Ganymede- 2631200m 1.8x10^-5AU

Callisto-2410500m 1.6x10^-5AU

Part III

Mass of Jupiter=0.000954265748solar mass units

1solar mass unit=2x10^30kg

Tgerefore,Mass of Jupiter=1.89x10^27kg. This is how we convert the mass of Jupiter from Solar mass unit to kg

Mass of Io= 8.93x10^22kg

Europa-4.8x10^22kg

Ganymede-1.28e+23kg

Callisto-1.08e+23kg

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